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.

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

References in corpus (49)

• Area laws for the entanglement entropy - a review
• Topological entanglement entropy
• Edge states and topological invariants of non-Hermitian systems
• Anderson Transitions
• Detecting topological order in a ground state wave function
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Localization transitions in non-Hermitian quantum mechanics
• Topological phases of non-Hermitian systems
• Measuring entanglement entropy through the interference of quantum many-body twins
• Calculation of reduced density matrices from correlation functions
• Non-Bloch Band Theory of Non-Hermitian Systems
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Vortex Pinning and Non-Hermitian Quantum Mechanics
• Biorthogonal Quantum Mechanics
• Non-reciprocal robotic metamaterials
• Topological phase transition in non-Hermitian quasicrystals
• Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
• Observation of higher-order non-Hermitian skin effect
• Non-Hermitian Delocalization and Eigenfunctions
• Non-Hermitian Many-Body Localization
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
• Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
• Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Experimental Observation of Efficient Nonreciprocal Mode Transitions via Spatiotemporally-Modulated Acoustic Metamaterials
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
• Exceptional Bound States and negative Entanglement Entropy
• Localization Transition in Incommensurate non-Hermitian Systems
• Entanglement entropy and multifractality at localization transitions
• Free-fermion Entanglement Spectrum through Wannier Interpolation
• Critical properties of the many-particle (interacting) Aubry-André model ground-state localization-delocalization transition
• Characterizing disordered fermion systems using the momentum-space entanglement spectrum
• Non-power-law universality in one-dimensional quasicrystals
• Dynamics of entanglement after exceptional quantum quench
• Entanglement entropy in one-dimensional disordered interacting system: The role of localization
• Entanglement localization by a single defect in a spin chain
• Entanglement Entropy of Non-Hermitian Free Fermions
• Position momentum Duality in the Entanglement Spectrum of Free Fermions
• Entanglement, non-Hermiticity, and duality
• Signatures of metal-insulator and topological phase transitions in the entanglement of one-dimensional disordered fermions
• Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

Cited by in corpus (26)

• Topological Non-Hermitian skin effect
• Non-Hermitian Topological Phases: Principles and Prospects
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• 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