Quantum Entanglement of Non-Hermitian Quasicrystals

Abstract

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian quasicrystals. We present a class of experimentally realizable models for non-Hermitian quasicrystal chains, in which asymmetric hopping and complex potential coexist. We diagnose global phase diagram by means of entanglement from both real-space and momentum-space partition. By measuring entanglement entropy, we numerically determine the metal-insulator transition point. We combine real-space and momentum-space entanglement spectra to complementarily characterize the delocalization phase and the localization phase. Inspired by entanglement spectrum, we further analytically prove that a duality exists between the two phase regions. The transition point is self-dual and exact, further validating the numerical result from diagonalizing non-Hermitian matrices. Finally, we identify mobility edge by means of entanglement.

Accepted by Phys. Rev. B (Letter). New data in SM added, references updated

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• Topological Non-Hermitian skin effect
• Non-Hermitian Topological Phases: Principles and Prospects
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• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Entanglement phase transitions in non-Hermitian quasicrystals
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Statistical mechanics for non-Hermitian quantum systems
• Evolution of Dynamical Signature in the X-cube Fracton Topological Order
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Many-body entanglement and spectral clusters in the extended hard-core bosonic Hatano-Nelson model
• Many-body phase transitions in a non-Hermitian Ising chain
• Physics of PT-Symmetric Quantum Systems at Finite Temperature
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Entanglement Signature of Hinge Arcs, Fermi Arcs, and Crystalline Symmetry Protection in Higher-Order Weyl Semimetals
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Skin Effect Induced Anomalous Dynamics from Charge-Fluctuating Initial States
• Entangelment Entropy on Generalized Brillouin Zone
• Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
• Recognizing critical lines via entanglement in non-Hermitian systems
• Mixedness timescale in non-Hermitian quantum systems
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Coexistence of extended and localized states in one-dimensional non-Hermitian Anderson model
• Path-integral Bosonization of $d=2$ PT symmetric models
• Entanglement scaling behaviors of free fermions on hyperbolic lattices
• Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase