Observation of non-Hermitian topological Anderson insulator in quantum dynamics

Abstract

Disorder and non-Hermiticity dramatically impact the topological and localization properties of a quantum system, giving rise to intriguing quantum states of matter. The rich interplay of disorder, non-Hermiticity, and topology is epitomized by the recently proposed non-Hermitian topological Anderson insulator that hosts a plethora of exotic phenomena. Here we experimentally simulate the non-Hermitian topological Anderson insulator using disordered photonic quantum walks, and characterize its localization and topological properties. In particular, we focus on the competition between Anderson localization induced by random disorder, and the non-Hermitian skin effect under which all eigenstates are squeezed toward the boundary. The two distinct localization mechanisms prompt a non-monotonous change in profile of the Lyapunov exponent, which we experimentally reveal through dynamic observables. We then probe the disorder-induced topological phase transitions, and demonstrate their biorthogonal criticality. Our experiment further advances the frontier of synthetic topology in open systems.

15 pages, 11 figures

References in corpus (9)

• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Topological Anderson Insulator
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Photonic Topological Anderson Insulators
• Topological Anderson Insulator in Three Dimensions
• Non-Bloch topological invariants in a non-Hermitian domain-wall system
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Topological Anderson insulators in two-dimensional non-Hermitian disordered systems

Cited by in corpus (72)

• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Topological Non-Hermitian skin effect
• Simulating non-Hermitian quasicrystals with single-photon quantum walks
• Non-Hermitian skin effect and self-acceleration
• Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
• Non-Hermitian Photonic Lattices: tutorial
• Non-Hermitian Floquet Topological Matter -- A Review
• Review on Quantum Walk Computing: Theory, Implementation, and Application
• A comprehensive review on developments of synthetic dimensions
• Bulk-Bulk Correspondence in Disordered Non-Hermitian Systems
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Non-Hermitian skin effects on many-body localized and thermal phases
• Manipulating non-reciprocity in a two-dimensional magnetic quantum walk
• Quantized Topological Anderson-Thouless Pump
• Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
• Percolation-induced PT symmetry breaking
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Topological Anderson amorphous insulator
• Anderson Delocalization in Strongly Coupled Disordered Non-Hermitian Chains
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• Universal non-Hermitian transport in disordered systems
• Self acceleration from spectral geometry in dissipative quantum-walk dynamics
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Insensitive edge solitons in a non-Hermitian topological lattice
• Critical non-Hermitian topology induced quantum sensing
• Scaling laws for non-Hermitian skin effect with long-range couplings
• Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\mathcal{P}\mathcal{T}$-symmetry breaking in a Floquet system
• Observation of disorder-induced boundary localization
• Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Non-Hermitian skin effect in a spin-orbit-coupled Bose-Einstein condensate
• Efficient learning of mixed-state tomography for photonic quantum walk
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems
• Dynamic conditioning of two particle discrete-time quantum walks
• Non-Hermitian control of localization in mosaic photonic lattices
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors
• Quantum quenches in a pseudo-Hermitian Chern insulator
• Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Lifshitz tail states in non-Hermitian disordered photonic lattices
• Dissipative two-dimensional Raman lattice
• Topological phase transition in fluctuating imaginary gauge fields
• Topologically compatible non-Hermitian skin effect
• Non-equilibrium dynamics of localization phase transition in the non-Hermitian Disorder-Aubry-André model
• Phase transitions of wave packet dynamics in disordered non-Hermitian systems
• Operator correlations in a quenched non-Hermitian Luttinger liquid
• Tentaclelike spectra and bound states in Hatano-Nelson chain with long-range impurity coupling
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• Phase transitions in non-Hermitian superlattices
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Evidence of random spin-singlet state in a three-dimensional quantum spin liquid candidate Sr${}_3$CuNb${}_2$O${}_9$
• Anderson localization without eigenstates in photonic quantum walks
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• An unusual phase transition in a non-Hermitian Su-Schrieffer-Heeger model
• Non-standard quantum algebras and infinite-dimensional PT-symmetric systems
• Optimization for the propagation of a multiparticle quantum walk in a one-dimensional lattice
• Critical properties in the non-Hermitian Aubry-Andre-Stark model
• Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Recent progress on disorder-induced topological phases
• Interplay of Disorder and Point-Gap Topology: Chiral Modes, Localization and Non-Hermitian Anderson Skin Effect in One Dimension
• Disordered Parity Anomalous Semimetal
• Disorder-Induced Topological Phases in a Two-Dimensional Chern Insulator with Strong Magnetic Disorder
• Coexistence of topological Anderson insulator and multifractal critical phase in a non-Hermitian quasicrystal
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice
• Survival of Hermitian Criticality in the Non-Hermitian Framework
• Noisy Cyclic Quantum Random Walk
• Anomalous Non-Hermitian Topological Anderson Insulator