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Quantum Thermodynamics
Thermal pure state path integral and emergent symmetry
arXiv
Authors: Shin-ichi Sasa, Sho Sugiura, Yuki Yokokura
Year
2016
Paper ID
42283
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We investigate a thermally isolated quantum many-body system with an external control represented by a time-dependent parameter. We formulate a path integral in terms of thermal pure states and derive an effective action for trajectories in a thermodynamic state space, where the entropy appears with its conjugate variable. In particular, for quasi-static operations, the symmetry for the uniform translation of the conjugate variable emerges in the path integral. This leads to the entropy as a Noether invariant.
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- We investigate a thermally isolated quantum many-body system with an external control represented by a time-dependent parameter.
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