Thermal pure state path integral and emergent symmetry
Statistical Mechanics
2018-12-19 v4 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1611.07268,
title = {Thermal pure state path integral and emergent symmetry},
author = {Shin-ichi Sasa and Sho Sugiura and Yuki Yokokura},
journal= {arXiv preprint arXiv:1611.07268},
year = {2018}
}
Comments
12 pages. Explanations have been added in ver.2, Introduction has been substantially revised in ver.3, Withdrawal because our new paper arXiv:1812.06375 provides a better formulation for the result of this paper