$\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective

Abstract

We review the methodology to theoretically treat parity-time- ($\mathcal{P}\mathcal{T}$-) symmetric, non-Hermitian quantum many-body systems... (For the full abstract see paper)

arXiv comment56 pages, 12 figures. Published version with updated references

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• Non-Hermitian multiterminal phase-biased Josephson junctions
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Correlations and Krylov spread for a non-Hermitian Hamiltonian: Ising chain with a complex-valued transverse magnetic field
• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Phase transitions in a non-Hermitian Su-Schrieffer-Heeger model via Krylov spread complexity
• Phase diagram of non-Hermitian BCS superfluids in a dissipative asymmetric Hubbard model
• Formal Green's function theory in non-Hermitian lattice systems
• Three perspectives on entropy dynamics in a non-Hermitian two-state system
• Work statistics and generalized Loschmidt echo for the Hatano-Nelson model
• Vacuum Rabi Splitting and Quantum Fisher Information of a Non-Hermitian Qubit in a Single-Mode Cavity
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Quantum implementation of non-unitary operations with biorthogonal representations
• Meissner effect in non-Hermitian superconductors
• Disorder and non-Hermiticity in Kitaev spin liquids with a Majorana Fermi surface
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• Physical constraints on effective non-Hermitian systems
• Quantifying non-Hermiticity using single- and many-particle quantum properties
• Probing phase transitions in non-Hermitian systems with quantum entanglement
• Fidelity and quantum geometry approach to Dirac exceptional points in diamond nitrogen-vacancy centers