Ising Quantum Chains

Details Ising Quantum Chains Ising Quantum Chains

2006-11-13

arxiv.org/abs/cond-mat/0611327v1

Physics

Condensed Matter

Statistical Mechanics

Habilitation thesis

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Ising Quantum Chains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ising Quantum Chains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ising Quantum Chains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-669143