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Scaling and front dynamics in Ising quantum chains

Thierry Platini·Dragi Karevski
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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 $T_b$.

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Thierry Platini, Dragi Karevski. 2005-09-23. Scaling and front dynamics in Ising quantum chains. https://doi.org/10.1140/epjb%2Fe2005-00402-2

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