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Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian p-wave Kitaev chain

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Abstract

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.

Graphic abstract

The upper panel depicts the discontinuity in Fisher’s zeros exactly on the imaginary axis. The lower panel demonstrates the half-qunatized jumps in the dynamical winding number corresponding to such discontinuous jump.

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Data availability statement

The data may be available on request to the corresponding author.

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Acknowledgements

We would like to dedicate this work to Prof. Amit Dutta whose untimely demise is a great loss for the community. Being his Ph.D. student, I (TN) always wanted to work with him on non-Hermitian DQPT once I returned to India. Unfortunately, this did not take place due to the unfortunate event. We are thankful to Heiko Rieger and Eduardo Hernandez, former and present Editor-in-Chief of European Physical Journal B (EPJB), for taking the initiative of this Topical Issue on “Quantum phase transitions and open quantum systems: A tribute to Prof. Amit Dutta”, in memory of their one long time Editor. We would like to thank the Guest Editors of this Special Issue of EPJB, Uma Divakaran, Ferenc Igloi, Victor Mukherjee and Krishnendu Sengupta for kind invitation to contribute in it. DM acknowledges SAMKHYA (High-Performance Computing Facility provided by the Institute of Physics, Bhubaneswar) for numerical computations. We thank to Arjit Saha for useful discussions. TN acknowledges the NFSG “NFSG/HYD/2023/H0911” from BITS Pilani.

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Authors and Affiliations

  1. Institute of Physics, Sachivalaya Marg, Bhubaneswar, 751005, India

    Debashish Mondal

  2. Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400094, India

    Debashish Mondal

  3. Department of Physics, BITS Pilani-Hyderabad Campus, Telangana, 500078, India

    Tanay Nag

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  1. Debashish Mondal
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Tanay Nag conceived the idea, analyzed the results and wrote the manuscript. Debashish Mondal did all the numerical calculations, prepared the figures, analyzed the results and partially wrote the manuscript.

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Mondal, D., Nag, T. Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian p-wave Kitaev chain. Eur. Phys. J. B 97, 59 (2024). https://doi.org/10.1140/epjb/s10051-024-00701-8

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