Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal

Abstract

Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and dynamical features of two interacting particles in a non-Hermitian quasi crystal, described by an effective Hubbard model in an incommensurate sinusoidal potential with a complex phase, and unravel some intriguing effects without any Hermitian counterpart. Owing to the effective decrease of correlated hopping introduced by particle interaction, doublon states, i.e. bound particle states, display a much lower threshold for spectral and localization-delocalization transitions than single-particle states, leading to the emergence of mobility edges. Remarkably, since doublons display longer lifetimes, two particles initially placed in distant sites tend to bunch and stick together, forming a doublon state in the long time limit of evolution, a phenomenon that can be dubbed {\em non-Hermitian particle bunching}.

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References in corpus (63)

• Topological Origin of Non-Hermitian Skin Effects
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Repulsively bound atom pairs in an optical lattice
• Non-Hermitian Topology and Exceptional-Point Geometries
• Topological phase transition in non-Hermitian quasicrystals
• Strongly Correlated Quantum Walks in Optical Lattices
• Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Non-Hermitian topological phenomena: A review
• New topological invariants in non-Hermitian systems
• Topological Non-Hermitian skin effect
• Non-Hermitian Morphing of Topological Modes
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Defining a bulk-edge correspondence for non-Hermitian Hamiltonians via singular-value decomposition
• Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
• Fractional Bloch oscillations in photonic lattices
• Observation of non-Hermitian topological Anderson insulator in quantum dynamics
• Transient non-Hermitian skin effect
• Two-particle states in the Hubbard model
• Non-Hermitian Edge Burst
• Simulating non-Hermitian quasicrystals with single-photon quantum walks
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Many-body localization in a non-Hermitian quasi-periodic system
• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Many-body topology of non-Hermitian systems
• Symmetry breaking and spectral structure of the interacting Hatano-Nelson model
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Non-Hermitian Many-Body Localization with Open Boundaries
• Non-Hermitian skin effect and self-acceleration
• Non-Hermitian skin clusters from strong interactions
• Fate of the non-Hermitian skin effect in many-body fermionic systems
• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian skin effect beyond the tight-binding models
• Non-Hermitian Photonic Lattices: tutorial
• Non-Bloch bands in two-dimensional non-Hermitian systems
• Dimerization induced mobility edges and multiple reentrant localization transitions in non-Hermitian quasicrystals
• Non-Hermitian Floquet Topological Matter -- A Review
• Designing non-Hermitian real spectra through electrostatics
• Nonequilibrium dynamics of the localization-delocalization transition in the non-Hermitian Aubry-André model
• Unusual wave-packet spreading and entanglement dynamics in non-Hermitian disordered many-body systems
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Spectral Properties of Disordered Interacting Non-Hermitian Systems
• Topological energy braiding of the non-Bloch bands
• Non-Hermitian Maryland Model
• Non-Hermitian skin effects on many-body localized and thermal phases
• Non-Hermitian Stark Many-Body Localization
• Non-Hermitian boundary spectral winding
• Anatomy of open-boundary bulk in multiband non-Hermitian systems
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Anderson localization in dissipative lattices
• Fate of exceptional points under interactions: Reduction of topological classifications
• Topological delocalization transitions and mobility edges in the nonreciprocal Maryland model
• Complex Berry phase and imperfect non-Hermitian phase transitions
• Non-Hermitian topological mobility edges and transport in photonic quantum walks
• Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System
• Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects
• Phase transitions in non-Hermitian superlattices

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• Entanglement phase transitions in non-Hermitian quasicrystals
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Dynamical Transition due to Feedback-induced Skin Effect
• Spectral structure and doublon dissociation in the two-particle non-Hermitian Hubbard model
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Entanglement phase transitions in non-Hermitian Floquet systems
• Correlation-induced phase transitions and mobility edges in an interacting non-Hermitian quasicrystal
• Numerical instability of non-Hermitian Hamiltonian evolutions
• Dissipation induced transition between delocalization and localization in the three-dimensional Anderson model
• Two-body interaction induced phase transitions and intermediate phases in nonreciprocal non-Hermitian quasicrystals
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices