Excited stated quantum phase transitions and the entropy of the work
distribution in the anharmonic Lipkin-Meshkov-Glick model
- URL: http://arxiv.org/abs/2310.14285v1
- Date: Sun, 22 Oct 2023 12:34:21 GMT
- Title: Excited stated quantum phase transitions and the entropy of the work
distribution in the anharmonic Lipkin-Meshkov-Glick model
- Authors: Haiting Zhang, Yifan Qian, Zhen-Xia Niu, and Qian Wang
- Abstract summary: In this work, we delve into the affects and characterizations of the excited state quantum phase transitions (ESQPTs) in the anharmonic Lipkin-Meshkov-Glick (LMG) model.
The entropy of the work distribution measures the complexity of the work distribution and behaves as a valuable tool for analyzing nonequilibrium work statistics.
- Score: 6.4921082576021725
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Studying the implications and characterizations of the excited state quantum
phase transitions (ESQPTs) would enable us to understand various phenomena
observed in quantum many body systems.In this work, we delve into the affects
and characterizations of the ESQPTs in the anharmonic Lipkin-Meshkov-Glick
(LMG) model by means of the entropy of the quantum work distribution. The
entropy of the work distribution measures the complexity of the work
distribution and behaves as a valuable tool for analyzing nonequilibrium work
statistics.We show that the entropy of the work distribution captures salient
signatures of the underlying ESQPTs in the model.In particular, a detailed
analyses of the scaling behavior of the maximal entropy verifies thatit acts as
a witness of the ESQPTs. We further demonstrate that the entropy of the work
distribution also reveals the features of the ESQPTs in the energy space and
can be used to determine their critical energies. Our results provide further
evidence of the usefulness of the entropy of the work distribution for
investigating various phase transitions in quantum many body systems and open
up a promising way for experimentally exploring the signatures of ESQPTs.
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