Skip to Main content Skip to Navigation
Habilitation à diriger des recherches

Ising quantum chains

Abstract : The aim of this article is to give a pedagogical introduction to the exact equilibrium and nonequilibrium properties of free fermionic quantum spin chains. In a first part we present in full details the canonical diagonalisation procedure and review quickly the equilibrium dynamical properties. The phase diagram is analysed and possible phase transitions are discussed. The two next chapters are concerned with the effect of aperiodicity and quenched disorder on the critical properties of the quantum chain. The remaining part is devoted to the nonequilibrium dynamical behaviour of such quantum chains relaxing from a nonequilibrium pure initial state. In particular,
a special attention is made on the relaxation of transverse magnetization. Two-time linear response functions and correlation functions are also considered, giving insights on the nature of the final nonequilibrium stationnary state. The possibility of aging is also discussed.
Document type :
Habilitation à diriger des recherches
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00113403
Contributor : Dragi Karevski <>
Submitted on : Monday, November 13, 2006 - 3:14:32 PM
Last modification on : Thursday, November 12, 2020 - 3:42:03 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 10:22:37 PM

Files

Identifiers

  • HAL Id : tel-00113403, version 1

Collections

Citation

Dragi Karevski. Ising quantum chains. Data Analysis, Statistics and Probability [physics.data-an]. Université Henri Poincaré - Nancy I, 2005. ⟨tel-00113403⟩

Share

Metrics

Record views

423

Files downloads

338