2008/07/31 by Sei Suzuki · 4 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1742-5468/2009/03/p03032
published as J. Stat. Mech. P03032 (2009) · 10 pages and 2 figures, published version
openalex publication_date 2009/03/26 · arxiv created 2009/06/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dynamics of quenching temperature is studied in pure and random Ising chains. Using the Kibble-Zurek argument, we obtain for the pure Ising model that the density of kinks after quenching decays as 1/√(τ) with the quench rate of temperature 1/τ for large τ. For the random Ising model, we show that decay rates of the density of kinks and the residual energy are 1/lnτ and 1/(lnτ)2 for large τ respectively. Analytic results for the random Ising model are confirmed by the Monte-Carlo simulation. Our results reveal a clear difference between classical and quantum quenches in the random Ising chain.