Interaction-induced non-Hermitian topological phases from a dynamical gauge field

Abstract

We present a minimal non-Hermitian model where a topologically nontrivial complex energy spectrum is induced by inter-particle interactions. Our model consists of a one-dimensional chain with a dynamical non-Hermitian gauge field with density dependence. The model is topologically trivial for a single particle system, but exhibits nontrivial non-Hermitian topology with a point gap when two or more particles are present in the system. We construct an effective doublon model to describe the nontrivial topology in the presence of two particles, which quantitatively agrees with the full interacting model. Our model can be realized by modulating hoppings of the Hatano-Nelson model; we provide a concrete Floquet protocol to realize the model in atomic and optical settings.

References in corpus (6)

• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Tools for quantum simulation with ultracold atoms in optical lattices
• Many-body topology of non-Hermitian systems
• Ultracold Lattice Gases with Periodically Modulated Interactions
• Hermitian zero modes protected by nonnormality: Application of pseudospectra

Cited by in corpus (34)

• Non-Hermitian Topological Phases: Principles and Prospects
• Non-Hermitian Photonic Lattices: tutorial
• Non-Hermitian Mott Skin Effect
• Non-Hermitian Floquet Topological Matter -- A Review
• Quantum Simulation of the Bosonic Kitaev Chain
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• Many-body non-Hermitian skin effect under dynamic gauge coupling
• Interaction-induced Liouvillian skin effect in a fermionic chain with a two-body loss
• A brief review of hybrid skin-topological effect
• The non-Hermitian skin effect: A perspective
• Fate of exceptional points under interactions: Reduction of topological classifications
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Anderson localization versus hopping asymmetry in a disordered lattice
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Modulational Instability and Dynamical Growth Blockade in the Nonlinear Hatano-Nelson Model
• Multifractality of many-body non-Hermitian skin effect
• Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer
• Investigation of a non-Hermitian edge burst with time-dependent perturbation theory
• Interaction-Induced Second-Order Skin Effect
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Topological phase transition in fluctuating imaginary gauge fields
• Anisotropic-scaling localization in higher-dimensional non-Hermitian systems
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• Many-body critical non-Hermitian skin effect
• Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
• Two-dimensional lattice with an imaginary magnetic field
• Topologically compatible non-Hermitian skin effect
• Non-Hermitian skin effect in fragmented Hilbert spaces of one-dimensional fermionic lattices
• Emergent Topology in Many-Body Dissipative Quantum Matter
• Spin-Depairing-Induced Exceptional Fermionic Superfluidity
• Multifractal statistics of non-Hermitian skin effect on the Cayley tree
• Inter-species topological phases via a dynamical gauge field
• Interplay of non-Hermitian skin effect and electronic correlations in the non-Hermitian Hubbard model via Real-space dynamical mean field theory