Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
arXiv:2405.03168 · doi:10.1103/PhysRevLett.133.193001
Abstract
We unveil the existence of two-particle bound state in the continuum (BIC) in a one-dimensional interacting nonreciprocal lattice with a generalized boundary condition. By applying the Bethe-ansatz method, we can exactly solve the wavefunction and eigenvalue of the bound state in the continuum band, which enable us to precisely determine the phase diagrams of BIC. Our results demonstrate that the non-reciprocal hopping can delocalize the bound state and thus shrink the region of BIC. By analyzing the wavefunction, we identify the existence of two types of BICs with different spatial distributions and analytically derive the corresponding threshold values for the breakdown of BICs. The BIC with similar properties is also found to exist in another system with an impurity potential.
7 pages, 4 figures
References in corpus (23)
- Topological Origin of Non-Hermitian Skin Effects
- Topological nature of bound states in the radiation continuum
- Applications of Bound States in the Continuum in Photonics
- Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
- Observation of a higher-order topological bound state in the continuum
- Impurity induced scale-free localization
- Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
- Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
- Two-body physics in the Su-Schrieffer-Heeger model
- Anomalous Skin Effects in Disordered Systems with a Single non-Hermitian Impurity
- Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
- Robust bound states in the continuum in Kerr microcavity embedded in photonic crystal waveguide
- Accumulation of scale-free localized states induced by local non-Hermiticity
- Exact solution of single impurity problem in non-reciprocal lattices: impurity induced size-dependent non-Hermitian skin effect
- Point-Defect-Localized Bound States in the Continuum in Photonic Crystals and Structured Fibers
- Scale-free localization and PT symmetry breaking from local non-Hermiticity
- Exact solution of the Bose Hubbard model with unidirectional hopping
- Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
- Bound states in the one-dimensional two-particle Hubbard model with an impurity
- Nonperturbative Waveguide Quantum Electrodynamics
- Continuum of Bound States in a Non-Hermitian Model
- Diagnosis of bulk phase diagram of non-reciprocal topological lattices by impurity modes
- Interaction-induced multiparticle bound states in the continuum