@misc{10481/71276,
year = {2021},
month = {9},
url = {http://hdl.handle.net/10481/71276},
abstract = {Using the Husimi quasiprobability distribution, we investigate the phase space signatures of excited-state quantum phase transitions (ESQPTs) in the Lipkin-Meshkov-Glick and coupled top models. We show that the ESQPT is evinced by the dynamics of the Husimi function, that exhibits a distinct time dependence in the different ESQPT phases. We also discuss how to identify the ESQPT signatures from the long-time averaged Husimi function and its associated marginal distributions. Moreover, from the calculated second moment and Wherl entropy of the long-time averaged Husimi function, we estimate the critical points of the ESQPT in both models, obtaining a good agreement with analytical (mean field) results. We provide a firm evidence that phase space methods are both a new probe for the detection and a valuable tool for the study of ESQPTs.},
organization = {National Natural Science Foundation of China (NSFC)	11805165},
organization = {Zhe-jiang Provincial Nature Science Foundation	LY20A050001},
organization = {Slovenian Research Agency - Slovenia	J1-9112	
P1-0306},
organization = {European Commission	SOMM17/6105/UGR},
organization = {EDER/MINECO	UNHU-15CE-2848},
organization = {Consejeria de Conocimiento, Investigacion y Universidad, Junta de An-dalucia		
UHU-1262561},
organization = {Ministerio de Ciencia, Innovacion y Universidades COOPB20364},
publisher = {American Physical Society},
title = {Signatures of excited-state quantum phase transitions in quantum many-body systems: Phase space analysis},
doi = {10.1103/PhysRevE.104.034119},
author = {Wang, Qian and Pérez Bernal, Francisco},
}