, Nature, vol.248, p.30, 1974.
, Commun. Math. Phys, vol.43, p.199, 1975.
, Phys. Rev. Lett, vol.80, p.3436, 1998.
, Phys. Rev. Lett, vol.46, p.1351, 1981.
, New J. Phys, vol.10, p.53015, 2008.
, Phys. Rev. Lett, vol.106, p.21302, 2011.
, Phys. Rev. Lett, vol.117, p.121301, 2016.
, Phys. Rev. Lett, vol.117, p.271101, 2016.
, Nat. Phys, vol.13, p.833, 2017.
,
,
, Science, vol.319, p.1367, 2008.
, Phys. Rev. Lett, vol.105, p.203901, 2010.
, New J. Phys, vol.13, p.85005, 2011.
, Phys. Rev. A, vol.86, p.63821, 2012.
, Nat. Commun, vol.5, p.4969, 2014.
, Optica, vol.5, p.1099, 2018.
, Phys. Rev. Lett, vol.122, p.10404, 2019.
, Phys. Rev. Lett, vol.114, p.36402, 2015.
, Phys. Rev. Lett, vol.105, p.240401, 2010.
, Nat. Phys, vol.10, p.864, 2014.
, Nat. Phys, vol.12, p.959, 2016.
, Nature, vol.569, p.688, 2019.
, Phys. Rev. A, vol.91, p.53603, 2015.
, Phys. Rev. D, vol.94, p.84027, 2016.
, Europhys. Lett, vol.114, p.60011, 2016.
, Phys. Rev. A, vol.94, p.43616, 2016.
, New J. Phys, vol.18, p.113017, 2016.
, SciPost Phys, vol.3, p.22, 2017.
, Europhys. Lett, vol.119, p.50002, 2017.
, Phys. Rev. D, vol.96, p.45012, 2017.
, SciPost Phys, vol.4, p.19, 2018.
, Phys. Rev. D, vol.97, p.25006, 2018.
, J. Phys. B, vol.52, p.75004, 2019.
, Ann. Phys. (Berlin), vol.530, p.1700114, 2018.
, Ann. Phys. (Berlin), vol.530, p.1700459, 2018.
, Phys. Rev. D, vol.51, p.2827, 1995.
, Phys. Rev. D, vol.54, p.1568, 1996.
, Phys. Rev. D, vol.55, p.6155, 1997.
, Phys. Rev. D, vol.44, p.1731, 1991.
, Phys. Rev. A, vol.68, p.63608, 2003.
, Phys. Rev. A, vol.80, p.43601, 2009.
, Phys. Rev. A, vol.80, p.43603, 2009.
, Phys. Rev. D, vol.85, p.24021, 2012.
, Phys. Rev. A, vol.85, p.13621, 2012.
, Phys. Rev. Lett, vol.115, p.25301, 2015.
, which recalls previous results, details some characteristics of the zero modes and of the analysis of the Hawking spectrum and includes Refs
, J. Mod. Opt, vol.44, p.1775, 1997.
, Phys. Rev. A, vol.72, p.33618, 2005.
, Phys. Rev. A, vol.79, p.43619, 2009.
, Phys. Rev. Lett, vol.77, p.3489, 1996.
, J. Opt. B, vol.5, p.42, 2003.
, PHYSICAL REVIEW LETTERS, vol.124, pp.60401-60406, 2020.
The Nuclear Many-Body Problem, 1980. ,
, Quantum Theory of Finite Systems, 1986.
, Phys. Rev. A, vol.78, p.21603, 2008.
, New J. Phys, vol.10, p.103001, 2008.
, Phys. Rev. D, vol.92, p.24043, 2015.
, Bose-Einstein Condensation in Dilute Gases, 2002.
Bose-Einstein Condensation, International Series of Monographs on Physics, 2016. ,
, New J. Phys, vol.17, p.105003, 2015.
, Phys. Rev. A, vol.85, p.13621, 2012.
, Phys. Rev. A, vol.68, p.63608, 2003.
, Nature, vol.569, p.688, 2019.
The Nuclear Many-Body Problem, 1980. ,
, Quantum Theory of Finite Systems, 1986.
, Bose-Einstein Condensation in Dilute Gases, 2002.
, SciPost Phys, vol.4, p.19, 2018.
, J. Mod. Optics, vol.44, p.1775, 1997.
, Phys. Rev. A, vol.72, p.33618, 2005.
, New. J. Phys, vol.17, p.105003, 2015.
, Phys. Rev. A, vol.80, p.43603, 2009.
, Phys. Rev. A, vol.80, p.43601, 2009.
, Phys. Rev. A, vol.79, p.43619, 2009.
, Radiophys, vol.9, p.138, 1965.
, Usp. Fiz. Nauk, vol.93, p.19, 1967.
, Nature Phys, vol.3, p.46, 2007.
, Electrodynamics of Continuous Media, vol.8, 2006.
Nonlinear Periodic Waves and Their Modulations-An Introductory Course, 2000. ,
, Math. USSR Izv, vol.37, p.397, 1991.
, Partial Differential Equations in Physics, (Lectures on Theoretical Physics volume VI), 1964.
, Proc. Camb. Phil. Soc, vol.48, p.499, 1952.
, , 2019.
, Fluid Mechanics, 1987.
, Nonlinearity, p.2287, 2009.
, Phys. Rev. A, vol.99, p.13609, 2019.
, Phys. Rev. A, vol.99, p.53819, 2019.
, Compte-rendus de la 22 e rencontre du Non Linéaire, p.33, 2019.
Nonlinear Periodic Waves and Their Modulations-An Introductory Course, World Scientific, 2000. ,
, , vol.37, p.397, 1991.
, Partial Differential Equations in Physics, 1964.
, Proc. Cambridge Philos. Soc, vol.48, p.499, 1952.
, Europhys. Lett, vol.66, p.771, 2004.
, Phys. Rev. A, vol.65, p.43614, 2002.
, Phys. Rev. A, vol.70, p.23604, 2004.
, Phys. Rev. Lett, vol.79, p.553, 1998.
, Phys. Rev. Lett, vol.81, p.1543, 1998.
, J. Math. Phys, vol.5, p.611, 1964.
, Izv. Atmos. Ocean. Phys, vol.49, p.548, 2013.
, Izv. Atmos. Ocean. Phys, vol.55, 2019.
, Linear and Nonlinear Waves, 1974.
, Phys. Lett. A, vol.25, p.708, 1967.
, Phys. Rev. Lett, vol.19, p.1095, 1967.
, Zh. Eksp. Teor. Fiz, vol.46, p.1265, 1964.
, Sov. Mathem. Dokl, vol.211, p.1266, 1973.
, J. Math. Phys, vol.14, p.1277, 1973.
, Zh. Eksp. Teor. Fiz, vol.71, p.203, 1976.
, Stud. Appl. Math, vol.57, p.13, 1977.
, Commun. Pure Appl. Math, vol.47, p.199, 1994.
, Commun. Pure Appl. Math, vol.54, p.1243, 2001.
, Commun. Math. Phys, vol.286, p.979, 2009.
, Commun. Pure Appl. Math, vol.63, p.203, 2010.
, J. Fluid Mech, vol.65, p.289, 1974.
, Physica D, vol.333, p.276, 2016.
, Phys. Rev. A, vol.69, p.63605, 2004.
, Phys. Rev. A, vol.74, p.23623, 2006.
, Nat. Phys, vol.3, p.46, 2007.
, Phys. Rev. Lett, vol.118, p.254101, 2017.
, Proc. R. Soc. A, vol.283, p.238, 1965.
, Zh. Eksp. Teor. Fiz, vol.65, p.590, 1973.
, Physica D, vol.333, p.11, 2016.
, Phys. Lett. A, vol.182, p.49, 1993.
, Zh. Eksp. Teor. Fiz, vol.95, p.1674, 1989.
, Pis'ma Zh. Eksp. Teor. Fiz, vol.54, p.102, 1991.
, Zh. Eksp. Teor. Fiz, vol.101, p.1797, 1992.
, Pis'ma Zh. Eksp. Teor. Fiz, vol.56, p.323, 1992.
, Commun. Pure Appl. Math, vol.46, p.423, 1993.
, Commun. Pure Appl. Math, vol.46, p.1093, 1993.
, Nonlinear Periodic Waves and Their Modulations-An Introductory Course, 2000.
, Table of Integrals, Series, and Products, 1966.
, Math. USSR Izv, vol.37, p.397, 1991.
, Ann. Math, vol.120, p.262, 1918.
, Mathematical Methods for Physicists, 2005.
, Chaos, vol.15, p.29901, 2005.
, Phys. Rev. E, vol.99, p.12203, 2019.
, Chaos, vol.12, p.1015, 2002.
, Physica D, vol.3, p.165, 1981.
, Radiophys, vol.9, p.138, 1965.
, Zh. Eksp. Teor. Fiz, vol.50, p.1025, 1966.
, Sov. Phys. Usp, vol.93, 1967.
, Eksp. Teor. Fiz, vol.6, p.38, 1967.
, Opt. Commun, vol.139, p.69, 1997.
, Opt. Commun, vol.62, p.374, 1987.
, Phys. Rev. Lett, vol.60, p.29, 1988.
, Phys. Rev. Lett, vol.61, p.2445, 1988.
, Phys. Rev. Lett, vol.67, p.3749, 1991.
, Phys. Rev. A, vol.54, p.880, 1996.
, Phys. Rev. A, vol.94, p.13849, 2016.
, Phys. Rev. Lett, vol.62, p.531, 1989.
, Phys. Rev. Lett, vol.99, p.43903, 2007.
, J. Opt. B, vol.6, p.223, 2004.
, Nat. Phys, vol.3, p.46, 2007.
, Opt. Lett, vol.32, p.2930, 2007.
, Phys. Rev. X, vol.4, p.21022, 2014.
, Opt. Lett, vol.41, p.2656, 2016.
, Phys. Rev. Lett, vol.118, p.254101, 2017.
, Optica, vol.2, p.1053, 2015.
, Phys. Rev. A, vol.86, p.63821, 2012.
, Optica, vol.5, p.1099, 2018.
, Phys. Rev. Lett, vol.122, p.10404, 2019.
, Optica, vol.2, p.484, 2015.
, Phys. Rev. Lett, vol.121, p.183604, 2018.
, Nat. Commun, vol.9, p.2108, 2018.
, Phys. Rev. A, vol.69, p.63605, 2004.
, Phys. Rev. A, vol.76, p.53813, 2007.
, A, vol.99, p.53819, 2019.
, Rogue and Shock Waves in Nonlinear Dispersive Media, vol.926, 2016.
, Linear and Nonlinear Waves, 1974.
, Phys. Rev. E, vol.99, p.12210, 2019.
, Proc. Cambridge Philos. Soc, vol.48, p.499, 1952.
, Nonlinearity, vol.22, p.2287, 2009.
, Zh. Eksp. Teor. Fiz, vol.65, p.590, 1973.
, Physica D, vol.333, p.11, 2016.
, Zh. Eksp. Teor. Fiz, vol.95, p.1674, 1989.
, Pis'ma Zh. Eksp. Teor. Fiz, vol.54, p.102, 1991.
, Zh. Eksp. Teor. Fiz, vol.101, p.1797, 1992.
, Pis'ma Zh. Eksp. Teor. Fiz, vol.56, p.323, 1992.
, Phys. Lett. A, vol.182, p.49, 1993.
, Phys. Rev. E, vol.80, p.46317, 2009.
, Electrodynamics of Continuous Media, Landau and Lifshitz Course of Theoretical Physics, vol.8, 2006.
, Nonlinear Periodic Waves and Their Modulations: An Introductory Course, 2000.
, Math. USSR Izv, vol.37, p.397, 1991.
, Partial Differential Equations in Physics, Lectures on Theoretical Physics, vol.VI, 1964.
, Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, 1970.
, Fluid Mechanics, 1987.
, ) + (?c 0 , ? + ) by w A (? + ) in is indeed the case: We can rigorously show that W (3) + (?c 0 , ? + ) and w A (? + ) coincide in the limit ? + = c 0
, Oscillation Theory, Computation, and Methods of Compensated Compactness, vol.2, p.35, 1986.
, Theor. Math. Phys, vol.71, 1987.
, Reviews of Plasma Physics, vol.4, p.23, 1966.
, Phys. Lett, vol.203, p.77, 1995.
, Commun. Pure Appl. Math, vol.46, p.423, 1993.
, Commun. Pure Appl. Math, vol.46, p.1093, 1993.
, Ann. Math, vol.120, p.262, 1918.
, Mathematical Methods for Physicists, 2005.
, Chaos, vol.15, p.29901, 2005.
, Phys. Rev. E, vol.99, p.12203, 2019.
, Optical Solitons, 2003.
, Phys. Rev. E, vol.66, p.36609, 2002.
, Commun. Pure Appl. Math, vol.54, p.1243, 2001.
, Commun. Pure Appl. Math, vol.60, p.1623, 2007.
Auflösung Einer Mechanischen Aufgabe, Journal für die reine und angewandte Mathematik (Crelles Journal) 1826 (1826), pp.153-157 ,
Handbook of Methematical Functions, 1970. ,
Gaussian Measures of Entanglement versus Negativities: Ordering of Two-Mode Gaussian States, Physical Review A, vol.72, p.32334, 2005. ,
Continuous Variable Tangle, Monogamy Inequality, and Entanglement Sharing in Gaussian States of Continuous Variable Systems, In: New Journal of Physics, vol.8, pp.15-15, 2006. ,
Extremal Entanglement and Mixedness in Continuous Variable Systems, Physical Review A, vol.70, p.22318, 2004. ,
Quantification and Scaling of Multipartite Entanglement in Continuous Variable Systems, In: Physical Review Letters, vol.93, p.220504, 2004. ,
Nonlinear Fiber Optics, 2013. ,
Self-Focusing and Self-Trapping of Intense Light Beams in a Nonlinear Medium, In: Sov. Phys. JETP, vol.23, p.1025, 1966. ,
Self-Focusing and Self-Trapping of Intense Light Beams in a Nonlinear Medium, In: Zh. Eksp. Teor. Fiz, vol.50, p.1537, 1966. ,
Self-Focusing and Diffraction of Light in a Nonlinear Medium, In: Usp. Fiz. Nauk, vol.93, p.19, 1967. ,
Self-Focusing and Diffraction of Light in a Nonlinear Medium, In: Sov. Phys. Usp, vol.10, p.609, 1968. ,
, Black Holes: Complementarity or Firewalls?" In: Journal of High Energy Physics, vol.2013, p.62, 2013.
Propagation of Sound in a Bose-Einstein Condensate, In: Physical Review Letters, vol.79, pp.553-556, 1997. ,
Mathematical Methods for Physicists, 2005. ,
Nonlocal Density Correlations as a Signature of Hawking Radiation from Acoustic Black Holes, Physical Review A, vol.78, p.21603, 2008. ,
Nonunitary Bogoliubov Transformations and Extension of Wick's Theorem, In: Il Nuovo Cimento B Series, vol.10, pp.37-55, 1969. ,
Coupling Ultracold Matter to Dynamical Gauge Fields in Optical Lattices: From Flux Attachment to Z 2 Lattice Gauge Theories, In: Science Advances, vol.5, 2019. ,
Probing Semiclassical Analog Gravity in Bose-Einstein Condensates with Widely Tunable Interactions, Physical Review A, vol.68, p.53613, 2003. ,
Towards the Observation of Hawking Radiation in Bose-Einstein Condensates, In: International Journal of Modern Physics A, vol.18, pp.3735-3745, 2003. ,
Analogue Gravity, In: Living Reviews in Relativity, vol.8, p.12, 2005. ,
Analogue Gravity, In: Living Reviews in Relativity, vol.14, p.3, 2011. ,
Dispersive Shock Waves with Nonlocal Nonlinearity, Optics Letters, vol.32, p.2930, 2007. ,
Hawking Radiation from Ultrashort Laser Pulse Filaments, In: Physical Review Letters, vol.105, p.203901, 2010. ,
Dark Soliton Past a Finite-Size Obstacle, Physical Review A, vol.72, p.33618, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00003746
Quantum Fields in Curved Space, 1982. ,
Quantum Theory of Finite Systems, 1986. ,
Observation of a Shape Resonance in the Collision of Two Cold Rb 87 Atoms, Physical Review A, vol.55, pp.636-640, 1997. ,
On the Theory of Superfluidity, Journal of Physics, vol.11, pp.23-32, 1947. ,
Quadratic Mean Field Games with Negative Coordination, 2020. ,
URL : https://hal.archives-ouvertes.fr/tel-02524610
Universal Behavior in Non Stationary Mean Field Games, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02361330
Nonlinear Optics, 2008. ,
Dynamical Casimir Effect in Dissipative Media: When Is the Final State Nonseparable?, In: Physical Review D, vol.88, p.45023, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00830864
Quantum Entanglement Due to a Modulated Dynamical Casimir Effect, Physical Review A, vol.89, p.63606, 2014. ,
Superfluid Light in Bulk Nonlinear Media, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.470, p.20140320, 2014. ,
Quantum Fluids of Light, In: Reviews of Modern Physics, vol.85, pp.299-366, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00913374
Numerical Observation of Hawking Radiation from Acoustic Black Holes in Atomic Bose-Einstein Condensates, In: New Journal of Physics, vol.10, p.103001, 2008. ,
Mécanique Quantique : Seconde Quantification et Résolvante; Master 2ème Année : Concepts Fondamentaux de La Physique, 2011. ,
Accelerating Plasma Mirrors to Investigate the Black Hole Information Loss Paradox, In: Physical Review Letters, vol.118, p.45001, 2017. ,
Bogoliubov Dispersion Relation for a Photon Fluid: Is This a Superfluid?, In: Optics Communications, vol.179, p.157, 2000. ,
Distributed Entanglement, Physical Review A, vol.61, p.52306, 2000. ,
Particle Creation via High Frequency Dispersion, In: Physical Review D, vol.55, pp.6155-6161, 1997. ,
Hawking Spectrum and High Frequency Dispersion, In: Physical Review D, vol.54, pp.1568-1586, 1996. ,
Self-Formation of Multiple Spatial Photovoltaic Solitons, In: Journal of Optics B: Quantum and Semiclassical Optics, vol.6, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00097267
Tripartite Entanglement in Parametric Down-Conversion with Spatially Structured Pump, In: Journal of the Optical Society of America B, vol.27, p.447, 2010. ,
Theory of Bose-Einstein Condensation in Trapped Gases, In: Reviews of Modern Physics, vol.71, pp.463-512, 1999. ,
Colloquium : Artificial Gauge Potentials for Neutral Atoms, In: Reviews of Modern Physics, vol.83, pp.1523-1543, 2011. ,
Scalar Production in Schwarzschild and Rindler Metrics, In: Journal of Physics A: Mathematical and General, vol.8, pp.609-616, 1975. ,
Radiation from Moving Mirrors and from Black Holes, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, vol.356, pp.237-257, 1977. ,
Quantum Field Theory in Curved Spacetime, Physics Reports, vol.19, pp.90051-90055, 1975. ,
Observation of Stimulated Hawking Radiation in an Optical Analogue, In: Physical Review Letters, vol.122, p.10404, 2019. ,
, The Quantum Theory of Nonlinear Optics, 2014.
Inseparability Criterion for Continuous Variable Systems, In: Physical Review Letters, vol.84, pp.2722-2725, 2000. ,
Triply Conjugate Systems with Equal Point Invariants, The Annals of Mathematics, vol.20, p.262, 1919. ,
Resolution of a Shock in Hyperbolic Systems Modified by Weak Dispersion, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.15, p.37103, 2005. ,
Resolution of a Shock in Hyperbolic Systems Modified by Weak Dispersion, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.15, p.29901, 2005. ,
Evolution of a Solitonless Large-Scale Perturbation in Korteweg-de Vries Hydrodynamics, Physics Letters A, vol.182, issue.93, p.90051, 1993. ,
All-Optical Event Horizon in an Optical Analog of a Laval Nozzle, Physical Review A, vol.86, p.63821, 2012. ,
Monogamy Equalities for Qubit Entanglement from Lorentz Invariance, In: Physical Review Letters, vol.114, p.140402, 2015. ,
Observation of Noise Correlated by the Hawking Effect in a Water Tank, In: Physical Review Letters, vol.117, p.121301, 2016. ,
Scattering of Co-Current Surface Waves on an Analogue Black Hole, 2018. ,
Scattering of Co-Current Surface Waves on an Analogue Black Hole, Physical Review Letters, vol.124, p.141101, 2020. ,
Momentum Correlations as Signature of Sonic Hawking Radiation in Bose-Einstein Condensates, In: SciPost Physics, vol.4, p.19, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01774549
, Analogue Gravity Phenomenology, vol.870, 2013.
Observation of Optical Undular Bores in Multiple Four-Wave Mixing, In: Physical Review X, vol.4, p.21022, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00987287
Nonuniform States of an Imperfect Bose Gas, In: Annals of Physics, vol.70, pp.90330-90332, 1972. ,
Observation of the Bogoliubov Dispersion in a Fluid of Light, In: Physical Review Letters, vol.121, p.183604, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01940932
Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation, vol.2, pp.35-69, 1986. ,
Topological Soliton-Polaritons in 1D Systems of Light and Fermionic Matter, In: Communications Physics, vol.2, p.48, 2019. ,
Radiation from a Moving Mirror in Two Dimensional Space-Time: Conformal Anomaly, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, vol.348, pp.393-414, 1976. ,
Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time, In: Physical Review D, vol.7, pp.2850-2862, 1973. ,
Sonic Analog of Gravitational Black Holes in Bose-Einstein Condensates, In: Physical Review Letters, vol.85, pp.4643-4647, 2000. ,
Quantun Noise, 1999. ,
Quasi-1D Bose-Einstein Condensates in the Dimensional Crossover Regime, Europhysics Letters (EPL), vol.66, pp.771-777, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00001065
Introductory Quantum Optics, 2004. ,
Linear Algebra and Its Applications, 2005. ,
Conditions for One-Dimensional Supersonic Flow of Quantum Gases, Physical Review A, vol.70, p.63602, 2004. ,
, Table of Integrals, Series, and Products, 1980.
Structure of a Quantized Vortex in Boson Systems, In: Il Nuovo Cimento, vol.20, pp.454-477, 1961. ,
Source Atomique Cohérente Dans Des Pièges Optique et Magnétique: Réalisation d'un Laser à Atomes Guidé, 2007. ,
Allgemeine Lösung Des Statischen Einkörperproblems in, Astronomi Och Fysik. Stockholm: Almqvist & Wiksell, vol.16, 1922. ,
Breaking of a Riemann Wave in Dispersive Hydrodynamics, Pis'ma Zh. Exp. Teor. Fiz, vol.54, p.104, 1991. ,
Evolution of a Riemann Wave in Dispersive Hydrodynamics, In: Zh. Eksp. Teor. Fiz, vol.101, p.1797, 1992. ,
Quasi-Simple Waves in Korteweg-De Vries Hydrdynamics, In: Zh. Eksp. Teor. Fiz, vol.95, p.1674, 1989. ,
Nonstationary Structure of a Collisionless Shock Wave, In: Zh. Eksp. Teor. Fiz, vol.65, p.590, 1973. ,
Black Hole Entropy and Soft Hair, Journal of High Energy Physics, vol.2018, p.98, 2018. ,
Dynamics of Component Separation in a Binary Mixture of Bose-Einstein Condensates, In: Physical Review Letters, vol.81, pp.1539-1542, 1998. ,
Black Hole Explosions?, In: Nature, vol.248, p.30, 1974. ,
Particle Creation by Black Holes, In: Communications In Mathematical Physics, vol.43, p.199, 1975. ,
Loss of Information in Black Holes, The Geometric Universe, p.125, 1998. ,
, The Large Scale Structure of Space-Time, 1973.
Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics, Physical Review A, vol.74, p.23623, 2006. ,
Existence of Long-Range Order in One and Two Dimensions, In: Physical Review, vol.158, pp.383-386, 1967. ,
Long-Time Evolution of Pulses in the Korteweg-de Vries Equation in the Absence of Solitons Reexamined: Whitham Method, Physical Review E, vol.99, p.12210, 2019. ,
Collision of Rarefaction Waves in Bose-Einstein Condensates, Physical Review A, vol.99, p.13609, 2019. ,
Solitary Waves in Clouds of Bose-Einstein Condensed Atoms, In: Physical Review A, vol.58, pp.2417-2422, 1998. ,
Introductory Lectures on Black Hole Thermodynamics, 1996. ,
Negative Frequency at the Horizon, 2018. ,
The Influence of Spacetime Curvature on Quantum Emission in Optical Analogues to Gravity, physics:gr-qc, 2020. ,
Propagation of Ultrashort Periodic Pulses in Nonlinear Fiber Light Guides, In: Zh. Eksp. Teor. Fiz, vol.97, p.144, 1990. ,
Nonlinear Periodic Waves and Their Modulations: An Introductory Course, 2000. ,
Dynamics of Bose-Einstein Condensates in Cigar-Shaped Traps, Physical Review A, vol.70, p.23604, 2004. ,
Spontaneous Hawking Radiation and beyond: Observing the Time Evolution of an Analogue Black Hole, 2019. ,
Conservation of Number of Waves and Inheritance of Simmetries under Whitham Averaging, Pis'ma Zh. Exp. Teor. Fiz, vol.54, p.179, 1991. ,
Formation of a Sonic Horizon in Isotropically Expanding Bose-Einstein Condensates, Physical Review A, vol.76, p.53603, 2007. ,
Realization of a Sonic Black Hole Analog in a Bose-Einstein Condensate, Physical Review Letters, vol.105, p.240401, 2010. ,
Union soviétique, Mécanique Quantique -Théorie Non-Relativiste, vol.3, 1967. ,
, Fluids Mechanics. Oxford: Pergamon, 1987.
Landau and Lifshitz Course of Theoretical Physics, Electrodynamics of Continuous Media, vol.8, 2006. ,
Fluctuations Quantiques et Effets Non-Linéaires Dans Les Condensats de Bose-Einstein. Des Ondes de Choc Dispersives Au Rayonnement de Hawking Acoustique, 2013. ,
Quantum Fluctuations around Black Hole Horizons in Bose-Einstein Condensates, Physical Review A, vol.85, p.13621, 2012. ,
Optomechanical Signature of a Frictionless Flow of Superfluid Light, Physical Review A, vol.91, p.53809, 2015. ,
Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations, J. Math. Phys, vol.5, pp.611-613, 1964. ,
Bose-Einstein Beams: Coherent Propagation through a Guide, Physical Review A, vol.64, p.33602, 2001. ,
Solitonic Transmission of Bose-Einstein Matter Waves, Physical Review A, vol.68, p.63608, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00000393
Theory of Elementary Excitations in Unstable Bose-Einstein Condensates and the Instability of Sonic Horizons, Physical Review A, vol.67, p.33602, 2003. ,
Bogoliubov Theory of the Hawking Effect in Bose Einstein Condensates, In: Journal of Optics B: Quantum and Semiclassical Optics, vol.5, pp.42-49, 2003. ,
Geometry and Light: The Science of Invisibility, 2010. ,
Quantum Phase Diffusion of a Bose-Einstein Condensate, In: Physical Review Letters, vol.77, pp.3489-3493, 1996. ,
The Information Loss Problem: An Analogue Gravity Perspective, In: Entropy, vol.21, p.940, 2019. ,
On an Extension of Riemann's Method of Integration, with Applications to One-Dimensional Gas Dynamics, In: Mathematical Proceedings of the Cambridge Philosophical Society, vol.48, pp.499-510, 1952. ,
Colloquium : Trapping and Manipulating Photon States in Atomic Ensembles, In: Reviews of Modern Physics, vol.75, pp.457-472, 2003. ,
Black Hole Information and Thermodynamics, SpringerBriefs in Physics, 2019. ,
Multimode Squeeze Operators and Squeezed States, Physical Review A, vol.41, pp.4625-4631, 1990. ,
Black-Hole Radiation in Bose-Einstein Condensates, Physical Review A, vol.80, p.43601, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00390660
The Large-N Limit of Superconformal Field Theories and Supergravity, In: International Journal of Theoretical Physics, vol.38, pp.1113-1133, 1999. ,
The Information Paradox: A Pedagogical Introduction, In: Classical and Quantum Gravity, vol.26, p.224001, 2009. ,
Absence of Ferromagnetism or Antiferromagnetism in One-or Two-Dimensional Isotropic Heisenberg Models, In: Physical Review Letters, vol.17, pp.1133-1136, 1966. ,
Superfluid Motion and Drag-Force Cancellation in a Fluid of Light, Nature Communications, vol.9, p.2108, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01806947
, Gravitation. W. H. Freeman, 1973.
Extension of Bogoliubov Theory to Quasicondensates, Physical Review A, vol.67, p.53615, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00157445
Observation of Thermal Hawking Radiation and Its Temperature in an Analogue Black Hole, Nature, vol.569, pp.688-691, 2019. ,
Acoustic Black Hole in a Stationary Hydrodynamic Flow of Microcavity Polaritons, In: Physical Review Letters, vol.114, p.36402, 2015. ,
Invariante Variationsprobleme, In: Nachr. König. Gesellsch. Wiss. Göttingen, Math.-Phys. Klasse, pp.235-237, 1918. ,
Entanglement and Violation of Classical Inequalities in the Hawking Radiation of Flowing Atom Condensates, New Journal of Physics, vol.17, p.105003, 2015. ,
Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons, Physical Review Letters, vol.81, pp.938-941, 1998. ,
, Rogue and Shock Waves in Nonlinear Dispersive Media, vol.926, 2016.
On Massive Neutron Cores, In: Physical Review, vol.55, pp.374-381, 1939. ,
Topological Photonics, In: Reviews of Modern Physics, vol.91, p.15006, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02378333
Particle Emission Rates from a Black Hole: Massless Particles from an Uncharged, Nonrotating Hole, In: Physical Review D, vol.13, pp.198-206, 1976. ,
La Mécanique Classique et La Théorie de La Relativité, Les Comptes Rendus de l'Académie des Sciences de Paris 173, p.677, 1921. ,
Probability Distribution of Particles Created by a Black Hole, In: Physical Review D, vol.12, pp.1519-1525, 1975. ,
The Production of Elementary Particles by Strong Gravitational Fields, Asymptotic Structure of Space-Time, pp.107-226, 1977. ,
Nonlinear Schrodinger Equation and the Bogolyubov-Whitham Method of Averaging, In: Theoretical and Mathematical Physics, vol.71, pp.584-588, 1987. ,
In: The London, Edinburgh, and Dublin Philosophical Magazine and, Journal of Science, vol.42, pp.1373-1377, 1951. ,
Bose-Einstein Condensation and Liquid Helium, In: Physical Review, vol.104, pp.576-584, 1956. ,
Gravitational Collapse: The Role of General Relativity, Rivista del Nuovo Cimento, Numero Speziale, vol.1, p.252, 1969. ,
Topological Quantum Optics Using Atomlike Emitter Arrays Coupled to Photonic Crystals, In: Physical Review Letters, vol.124, p.83603, 2020. ,
Bose-Einstein Condensation in Dilute Gases, 2008. ,
Fiber-Optical Analog of the Event Horizon, In: Science, vol.319, p.1367, 2008. ,
Umklapp Superradiance with a Collisionless Quantum Degenerate Fermi Gas, In: Physical Review Letters, vol.112, p.143003, 2014. ,
Probing Planck-Scale Physics with Quantum Optics, Nature Physics, vol.8, pp.393-397, 2012. ,
Vortex Lines in an Imperfect Bose Gas, In: Soviet Physics -Journal of Experimental and Theoretical Physics, vol.13, p.451, 1961. ,
Bose-Einstein Condensation and Superfluidity, International Series of Monographs on Physics, 2016. ,
, Functional Integrals in Quantum Field Theory and Statistical Physics, 1983.
Do Black Holes Destroy Information, 1992. ,
Bogoliubov Theory of Acoustic Hawking Radiation in Bose-Einstein Condensates, Physical Review A, vol.80, p.43603, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00424278
The Nuclear Many Body Problem. Texts and Monographs in Physics, 2004. ,
The Theory of Hawking Radiation in Laboratory Analogues, In: Journal of Physics B: Atomic, Molecular and Optical Physics, vol.45, p.163001, 2012. ,
Observation of Negative-Frequency Waves in a Water Tank: A Classical Analogue to the Hawking Effect?, In: New Journal of Physics, vol.10, p.53015, 2008. ,
Horizon Effects with Surface Waves on Moving Water, New Journal of Physics, vol.12, p.95018, 2010. ,
Effective Wave Equations for the Dynamics of Cigar-Shaped and Disk-Shaped Bose Condensates, Physical Review A, vol.65, p.43614, 2002. ,
Nonequilibrium Precondensation of Classical Waves in Two Dimensions Propagating through Atomic Vapors, In: Physical Review Letters, vol.120, p.55301, 2018. ,
Planck Distribution of Phonons in a Bose-Einstein Condensate, Physical Review Letters, vol.111, p.55301, 2013. ,
Detection Scheme for Acoustic Quantum Radiation in Bose-Einstein Condensates, In: Physical Review Letters, vol.97, p.190405, 2006. ,
Uber Das Gravitationsfeld Eines Massenpunktes Nach Der Einsteinschen Theorie, In: Sitz. der K. Preuss. Akad. der Wiss, vol.7, pp.189-196, 1916. ,
Multimode Uncertainty Relations and Separability of Continuous Variable States, In: Physical Review Letters, vol.96, p.110402, 2006. ,
Detecting Entanglement by Symplectic Uncertainty Relations, In: Journal of the Optical Society of America B, vol.24, p.347, 2007. ,
Unitarily Localizable Entanglement of Gaussian States, In: Physical Review A, vol.71, p.32349, 2005. ,
Symplectic Invariants, Entropic Measures and Correlations of Gaussian States, In: Journal of Physics B: Atomic, Molecular and Optical Physics, vol.37, pp.21-28, 2004. ,
Phonon Dispersion Relation of an Atomic Bose-Einstein Condensate, Physical Review Letters, vol.109, p.195301, 2012. ,
Peres-Horodecki Separability Criterion for Continuous Variable Systems, In: Physical Review Letters, vol.84, pp.2726-2729, 2000. ,
Quantum-Noise Matrix for Multimode Systems: U( n ) Invariance, Squeezing, and Normal Forms, Physical Review A, vol.49, pp.1567-1583, 1994. ,
, Partial Differential Equations in Physics, 1964.
The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities, 2004. ,
Observation of Self-Amplifying Hawking Radiation in an Analogue Black-Hole Laser, Nature Physics, vol.10, pp.864-869, 2014. ,
Measuring the Entanglement of Analogue Hawking Radiation by the Density-Density Correlation Function, Physical Review D, vol.92, p.24043, 2015. ,
Observation of Quantum Hawking Radiation and Its Entanglement in an Analogue Black Hole, In: Nature Physics, vol.12, pp.959-965, 2016. ,
The Black Hole War: My Battle with Stephen Hawking to Make the World Safe for Quantum Mechanics, 2008. ,
Self Focusing of Wave Beams in Nonlinear Media, In: ZhETF Pisma Redaktsiiu, vol.2, p.218, 1965. ,
The Geometry of Hamiltonian Systems and Hydrodynamic Type. The Generalized Hodograph Method, Mathematics of the USSR-Izvestiya, vol.37, pp.397-419, 1991. ,
Notes on Black-Hole Evaporation, In: Physical Review D, vol.14, pp.870-892, 1976. ,
Experimental Black-Hole Evaporation?, In: Physical Review Letters, vol.46, p.1351, 1981. ,
Sonic Analogue of Black Holes and the Effects of High Frequencies on Black Hole Evaporation, Physical Review D, vol.51, pp.2827-2838, 1995. ,
Hawking Radiation from "Phase Horizons" in Laser Filaments?, In: Physical Review D, vol.86, p.64006, 2012. ,
Information Loss, In: Reports on Progress in Physics, vol.80, p.92002, 2017. ,
Computable Measure of Entanglement, Physical Review A, vol.65, p.32314, 2002. ,
Experimental Characterization of Nonlocal Photon Fluids, In: Optica, vol.2, p.484, 2015. ,
Role of Geometry in the Superfluid Flow of Nonlocal Photon Fluids, Physical Review A, vol.94, p.13849, 2016. ,
Rotating Black Hole Geometries in a Two-Dimensional Photon Superfluid, In: Optica, vol.5, p.1099, 2018. ,
On Particle Creation by Black Holes, Communications in Mathematical Physics, vol.45, pp.9-34, 1975. ,
Dispersive Superfluidlike Shock Waves in Nonlinear Optics, Nature Physics, vol.3, pp.46-51, 2007. ,
Measurement of Stimulated Hawking Emission in an Analogue System, Physical Review Letters, vol.106, p.21302, 2011. ,
Bound Entangled Gaussian States, In: Physical Review Letters, vol.86, pp.3658-3661, 2001. ,
A General Approach to Linear and Non-Linear Dispersive Waves Using a Lagrangian, In: Journal of Fluid Mechanics, vol.22, pp.273-283, 1965. ,
Non-Linear Dispersive Waves, In: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, vol.283, pp.238-261, 1965. ,
Two-Timing, Variational Principles and Waves, In: Journal of Fluid Mechanics, vol.44, p.373, 1970. ,
Linear and Nonlinear Waves, 1974. ,
Parametric Instabilities of Interacting Bosons in Periodically Driven 1D Optical Lattices, In: Physical Review X, vol.10, p.11030, 2020. ,
Limits to the Analog Hawking Temperature in a Bose-Einstein Condensate, In: Physical Review A, vol.76, p.13608, 2007. ,
Shock Wave Generation Triggered by a Weak Background in Optical Fibers, Optics Letters, vol.41, p.2656, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-02386570
Dispersive Dam-Break Flow of a Photon Fluid, In: Physical Review Letters, vol.118, p.254101, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-02386195
Resonant Hawking Radiation in Bose-Einstein Condensates, New Journal of Physics, vol.13, p.63048, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00647462
A First Course in String Theory, 2004. ,
Volume of the Set of Separable States, Physical Review A, vol.58, pp.883-892, 1998. ,