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Quantum Thermodynamics

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

arXiv
Authors: Yuuya Chiba, Kenichi Asano, Akira Shimizu

Year

2019

Paper ID

14991

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

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.

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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.02456 [2] arXiv https://arxiv.org/abs/1911.02456 [3] Publisher https://arxiv.org/abs/1911.02456

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