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  Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions

Mishra, U., Jafari, R., & Akbari, A. (2020). Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions. Journal of Physics A, (53): 375301, pp. 1-22. doi:10.1088/1751-8121/ab97de.

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Genre: Journal Article
Alternative Title : Journal of Physics A: Mathematical and Theoretical

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 Creators:
Mishra, U.1, Author
Jafari, R.1, Author
Akbari, Alireza2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Physics of Correlated Matter, Max Planck Institute for Chemical Physics of Solids, Max Planck Society, ou_1863445              

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Free keywords: Dynamical phase transition, Loschmidt echo, Non equilibrium dynamics, Quantum revivals
 Abstract: We explore the dynamics of long-range Kitaev chain by varying pairing interaction exponent. It is well known that the distinctive features of the nonequilibrium dynamics of a closed quantum system are closely related to the equilibrium phase transitions. Specifically, the return probability (Loschmidt echo) of the system to its initial state, in the finite-size system, is expected to exhibit periodicity after a sudden quench to a quantum critical point. The time of the first revivals scales inversely with the maximum of the group velocity. We show that, contrary to expectations, the periodicity of the return probability breaks for a sudden quench to the non-trivial quantum critical point. Further, we find that the periodicity of the return probability scales inversely with the group velocity at the gap closing point for a quench to the trivial critical point of truly long-range pairing case. Also, analyzing the effect of averaging quenched disorder shows that the revivals in the short-range pairing cases are more robust against disorder than that of the long-range pairing case. We also study the effect of disorder on the non-analyticities of the rate function of the return probability which introduced as a witness of the dynamical phase transition. We show that the non-analyticities in the rate function of return probability are washed out in the presence of strong disorders. © 2020 IOP Publishing Ltd.

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Language(s): eng - English
 Dates: 2020-08-172020-08-17
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1088/1751-8121/ab97de
 Degree: -

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Title: Journal of Physics A
  Other : Journal of Physics A: Mathematical and Theoretical
  Abbreviation : J. Phys. A
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Bristol : IOP Pub.
Pages: - Volume / Issue: (53) Sequence Number: 375301 Start / End Page: 1 - 22 Identifier: ISSN: 1751-8113
CoNE: https://pure.mpg.de/cone/journals/resource/954925513480_2