Non-Bloch $\mathcal{P}\mathcal{T}$ symmetry breaking in non-Hermitian Photonic Quantum Walks

Abstract

A hallmark of topological band theory in periodic media is that bulk properties are not affected by boundary conditions. Remarkably, in certain non-Hermitian lattices the bulk properties are largely affected by boundaries, leading to such major effects as the non-Hermitian skin effect and violation of the bulk-boundary correspondence. Here we unveil that non-unitary discrete-time quantum walks of photons in systems involving gain and loss show rather generally non-Bloch parity-time ($\mathcal{P}\mathcal{T}$) symmetry breaking phase transitions, and suggest a bulk probing method to detect such boundary-driven phase transitions.

6 pages, 3 figures, under review

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• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
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• Non-Hermitian skin effect and self-acceleration
• Delocalization of topological edge states
• Detecting non-Bloch topological invariants in quantum dynamics
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• Floquet engineering of point-gapped topological superconductors
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Spectral deformations in non-Hermitian lattices with disorder and skin effect: a solvable model
• Engineering Non-Hermitian Skin Effect with Band Topology in Ultracold Gases
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• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Non-Bloch quench dynamics
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Stochastic non-Hermitian skin effect
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• Extended imaginary gauge transformation in a general nonreciprocal lattice
• General theory for infernal points in non-Hermitian systems
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• Distinguishability Transitions in Non-Unitary Boson Sampling Dynamics
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• Hermitian and non-Hermitian topology in active matter
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• Non-standard quantum algebras and infinite-dimensional PT-symmetric systems
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• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Geometric origin of self-intersection points in non-Hermitian energy spectra
• Self-healing of non-Hermitian topological skin modes
• Recurrence method in Non-Hermitian Systems