Scaling and front dynamics in Ising quantum chains

2005/09/23 by Thierry Platini, T. Platini, D. Karevski +1 · 1 citation
Computer Science · Physics and Astronomy · #Ising model #Magnetization #Quantum #Quantum Computing Algorithms and Architecture #Quantum many-body systems #Relaxation (psychology) #Scaling #Spins #Theoretical and Computational Physics #Transverse field #Transverse plane #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2005-00402-2

7 pages, submitted to EPJB

arxiv created 2005/09/23 · openalex publication_date 2005/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the relaxation dynamics of a quantum Ising chain initially prepared in a product of canonical states corresponding each to an equilibrium state of part of the chain at a given temperature. We focus our attention on the transverse magnetization for which a general expression is given. Explicite results are given for the completely factorized initial state, corresponding to a situation where all the spins are thermalized independently, and for the two-temperatures initial state, where part of the chain called the system is thermalized at a temperature T_s and the remaining part is at a temperature T_b.

Citations

• Statistical Mechanics of theXYModel. I
• Off equilibrium dynamics in disordered quantum spin chain
• Long-time tails and anomalous slowing down in the relaxation of spatially inhomogeneous excitations in quantum spin chains
• Dynamics of the dissipative two-state system
• Two soluble models of an antiferromagnetic chain

Cited by

• Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems