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복잡계 이론물리 연구단
복잡계 이론물리 연구단
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Probing an excited-state quantum phase transition in a quantum many-body system via an out-of-time-order correlator

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Title
Probing an excited-state quantum phase transition in a quantum many-body system via an out-of-time-order correlator
Author(s)
Qian Wang; Perez-Bernal, F
Publication Date
2019-12
Journal
PHYSICAL REVIEW A, v.100, no.6, pp.062113 -
Publisher
AMER PHYSICAL SOC
Abstract
Out-of-time-order correlators (OTOCs) play an increasingly important role in different fields of physics and in particular they provide a way of quantifying information scrambling in quantum many-body systems. We verify that an OTOC can be used to probe an excited-state quantum phase transition (ESQPT) in a quantum many-body system. We examine the dynamical properties of an OTOC in the Lipkin-Meshkov-Glick model, which undergoes an ESQPT, using the exact diagonalization method. We show that the long-time evolution of the proposed OTOC is remarkably different in the different phases of the ESQPT. In consequence, we put the long-time averaged value of the OTOC forward as a possible ESQPT order parameter. Our results highlight the connections between OTOCs and ESQPTs, opening the possibility of using OTOCs for accessing experimentally ESQPTs in quantum many-body systems. ©2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6716
ISSN
2469-9926
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
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