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arXiv 1911.02456cond-mat.stat-mechquant-ph
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孤立量子系统中淬灭实验所获得的磁化率反常行为

Anomalous Behavior of Magnetic Susceptibility Obtained by Quench Experiments in Isolated Quantum Systems

Yuuya Chiba, Kenichi Asano, Akira Shimizu

摘要:

我们研究了孤立量子系统的淬火实验所获得的磁化率是如何与热力学中定义的等温和绝热磁化率相关的。在类似于本征态热化假设的条件下,再加上一些额外的自然条件,我们证明了对于非线性不变系统,作为波矢量k的函数的猝灭磁化率在k=0处是不连续的。此外,它的值在k=0和k到0的限制,符合绝热和等温磁化率,分别。我们给出了数值预测,这些特定的行为如何可以观察到在实验中的XYZ自旋链与可调参数,以及它们如何偏离时,条件不完全满足。

英文摘要:

We examine how the magnetic susceptibility obtained by the quench experiment on isolated quantum systems is related to the isothermal and adiabatic susceptibilities defined in thermodynamics. Under the conditions similar to the eigenstate thermalization hypothesis, together with some additional natural ones, we prove that for translationally invariant systems the quench susceptibility as a function of wave vector k is discontinuous at k=0. Moreover, its values at k=0 and the k to 0 limit coincide with the adiabatic and the isothermal susceptibilities, respectively. We give numerical predictions on how these particular behaviors can be observed in experiments on the XYZ spin chain with tunable parameters, and how they deviate when the conditions are not fully satisfied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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