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

Abstract

Considering a non-Hermitian version of $p$-wave Kitaev chain in the presence of additional second nearest neighbour tunneling, 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 tunneling, we find these features to be universally present irrespective of the additional second nearest neighbour tunneling terms as long as non-Hermiticity is preserved.

Dedicated to celebrating the memory of Prof. Amit Dutta for EPJB special issue on "Quantum phase transitions and open quantum systems: A tribute to Prof. Amit Dutta" (6 pages and 2 figures)

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Cited by in corpus (5)

• Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• From Chiral Topological Dynamics to Chiral Topological Amplification: Real vs Imaginary Parameters in a Hermitian Bosonic Chain
• Adiabatic charge transport through non-Bloch bands