Finite temperature dynamical quantum phase transition in a non-Hermitian system

Abstract

We investigate the interplay between the non-Hermiticity and finite temperature in the context of mixed state dynamical quantum phase transition (MSDQPT). We consider a $p$-wave superconductor model, encompassing complex hopping and non-Hermiticity that can lead to gapless phases in addition to gapped phases, to examine the MSDQPT and winding number via the intra-phase quench. We find that the MSDQPT is always present irrespective of the gap structure of the underlying phase, however, the profile of Fisher zeros changes between the above phases. Such occurrences of MSDQPT are in contrast to the zero-temperature case where DQPT does not take place for the gapped phase. Surprisingly, the half-integer jumps in winding number at zero-temperature are washed away for finite temperature in the gapless phase. We study the evolution of the minimum time required by the system to experience MSDQPT with the inverse temperature such that gapped and gapless phases can be differentiated. Our study indicates that the minimum time shows monotonic (non-monotonic) behavior for the gapped (gapless) phase.

16 pages and 7 figures (main text: 8 pages with 5 figures + appendix: 8 pages with 2 figure)

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• Dissipation driven dynamical topological phase transitions in two-dimensional superconductors
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• Complex dynamics approach to dynamical quantum phase transitions: the Potts model
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Detecting exceptional points through dynamics in non-Hermitian systems
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Aperiodic dynamical quantum phase transitions in multi-band Bloch Hamiltonian and its origin
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Vortex loop dynamics and dynamical quantum phase transitions in 3D fermion matter
• Quantum coherence assisted dynamical phase transition
• Recognizing critical lines via entanglement in non-Hermitian systems
• Geometry effect of the dynamical quantum phase transitions at finite temperatures
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Emergent dynamical quantum phase transition in a $Z_3$ symmetric chiral clock model
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