Fate of pseudo mobility-edge and multiple states in non-Hermitian Wannier-Stark lattice
arXiv:2409.16979 · doi:10.1103/PhysRevB.111.014315
Abstract
The interaction between non-reciprocity and disorder-free localization has emerged as a fascinating open question. Here, we explore the effects of pseudo mobility edges (MEs) along with different types of eigenstates in a one-dimensional (1D) lattice subjected to a non-reciprocal finite-height Wannier-Stark ladder. Utilizing the transfer matrix method, we analytically investigate the pseudo mobility edges under non-reciprocity, which accurately describe the boundary between ergodic and non-ergodic states. The ergodic states, under nonreciprocity, form topological point gaps in the complex plane, with the corresponding eigenstates localized at the boundaries. The localization of mixed states induced by the skin effect and Wannier-Stark ladder is further amplified under non-reciprocity. Through similarity transformations, the fate of multiple eigenstates under non-reciprocal transitions can be captured. Finally, we use wave packet dynamics as a means to detect these emerging states. Our findings broaden the understanding of disorder-free localization in non-Hermitian systems.
Published on Physical Review B
References in corpus (29)
- Universal non-Hermitian skin effect in two and higher dimensions
- Higher-order non-Hermitian skin effect
- One dimensional quasiperiodic mosaic lattice with exact mobility edges
- Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
- Topological defect engineering and PT-symmetry in non-Hermitian electrical circuits
- Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Observation of exceptional points and skin effect correspondence in non-Hermitian phononic crystals
- Exact new mobility edges between critical and localized states
- Observation of a non-Hermitian phase transition in an optical quantum gas
- Wannier-Stark ladders in one-dimensional elastic systems
- Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
- Discrete time crystal enabled by Stark many-body localization
- Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
- Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
- Wannier-Stark states and Bloch oscillations in the honeycomb lattice
- Non-Hermitian Stark Many-Body Localization
- Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
- Non-Hermitian pseudo mobility edge in a coupled chain system
- Anderson localization transitions in disordered non-Hermitian systems with exceptional points
- Absence of logarithmic and algebraic scaling entanglement phases due to skin effect
- Kinked linear response from non-Hermitian cold-atom pumping
- Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional non-reciprocal quasicrystals
- Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
- Wannier-Stark states in double-periodic lattices I: one-dimensional lattices
- Dynamical Transition due to Feedback-induced Skin Effect
- Coexistence of extended and localized states in finite-sized mosaic Wannier-Stark lattices
- Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
- Fate of non-Hermitian free fermions with Wannier-Stark ladder
Cited by in corpus (4)
- Measurement-Induced Entanglement Phase Transition in Free Fermion Systems
- Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
- Entanglement phases and phase transitions in monitored free fermion system due to localizations
- Exact Mobility Edges in a Disorder-Free Dimerized Stark Lattice with Effective Unbounded Hopping