https://doi.org/10.1140/epjb/s10051-024-00701-8
Regular Article - Statistical and Nonlinear Physics
Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian p-wave Kitaev chain
1
Institute of Physics, Sachivalaya Marg, 751005, Bhubaneswar, India
2
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400094, Mumbai, India
3
Department of Physics, BITS Pilani-Hyderabad Campus, 500078, Telangana, India
b
tanay.nag@hyderabad.bits-pilani.ac.in
Received:
13
February
2024
Accepted:
29
April
2024
Published online:
14
May
2024
Considering a non-Hermitian version of p-wave Kitaev chain in the presence of additional second nearest neighbour tunnelling, we study dynamical quantum phase transition (DQPT) which accounts for the vanishing Loschmidt amplitude. The locus of the Fisher’s zero traces a continuous path on the complex time plane for the Hermitian case while it becomes discontinuous for non-Hermitian cases. This further leads to the half-unit jumps in the winding number characterizing a dynamical topological aspect of DQPT for non-Hermitian Hamiltonian. Uncovering the interplay between non-Hermiticity and long-range tunnelling, we find these features to be universally present irrespective of the additional second nearest neighbour tunnelling terms as long as non-Hermiticity is preserved.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
