Mobility rings in a non-Hermitian non-Abelian quasiperiodic lattice
arXiv:2507.12176 · doi:10.1103/zfrn-53lz
Abstract
We study localization and topological properties in spin-1/2 non-reciprocal Aubry-André chain with SU(2) non-Abelian artificial gauge fields. The results reveal that, different from the Abelian case, mobility rings, will emerge in the non-Abelian case accompanied by the non-Hermitian topological phase transition. As the non-Hermitian extension of mobility edges, such mobility rings separate Anderson localized eigenstates from extended eigenstates in the complex energy plane under the periodic boundary condition. Based on the topological properties, we obtain the exact expression of the mobility rings. Furthermore, the corresponding indicators such as inverse participation rate, normalized participation ratio, winding number, non-Hermitian spectral structures and wave functions are numerically studied. The numerical results are in good agreement with the analytical expression, which confirms the emergence of mobility rings.
arXiv comment9 pages, 6 figures; version accepted by PRA
References in corpus (61)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Edge states and topological invariants of non-Hermitian systems
- Anderson Transitions
- Artificial gauge potentials for neutral atoms
- Anderson localization of a non-interacting Bose-Einstein condensate
- Exceptional Topology of Non-Hermitian Systems
- Non-Hermitian Physics
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Light-induced gauge fields for ultracold atoms
- Topological Band Theory for Non-Hermitian Hamiltonians
- Non-Bloch Band Theory of Non-Hermitian Systems
- Topological Bands for Ultracold Atoms
- Non-Hermitian Chern bands
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Localization of ultrasound in a three-dimensional elastic network
- Non-Hermitian Topology and Exceptional-Point Geometries
- Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
- Non-Hermitian Topological Invariants in Real Space
- Critical non-Hermitian Skin Effect
- Direct observation of a localization transition in quasi-periodic photonic lattices
- Topological phase transition in non-Hermitian quasicrystals
- Universal non-Hermitian skin effect in two and higher dimensions
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Acoustic non-Hermitian skin effect from twisted winding topology
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Topological Non-Hermitian skin effect
- Topological quantum matter with cold atoms
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Mobility Edges in 1D Bichromatic Incommensurate Potentials
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect
- Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
- Observation of non-Hermitian topological Anderson insulator in quantum dynamics
- Non-Hermitian Topological Anderson Insulators
- Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
- Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
- Localization and topological transitions in non-Hermitian quasiperiodic lattices
- Topological Anderson insulators in two-dimensional non-Hermitian disordered systems
- Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
- Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
- Dynamical Degeneracy Splitting and Directional Invisibility in Non-Hermitian Systems
- Emergent entanglement phase transitions in non-Hermitian Aubry-André-Harper chains
- Non-Hermitian bidirectional robust transport
- Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
- Synthetic non-Abelian gauge fields for non-Hermitian systems
- Correlations at PT-symmetric quantum critical point
- Cyclotron quantization and mirror-time transition on nonreciprocal lattices
- Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems
- Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
- Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
- Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
- Non-Hermitian non-Abelian topological insulators with symmetry
- Topological Bulk Lasing Modes Using an Imaginary Gauge Field
- Identifying non-Hermitian critical points with quantum metric
- Localization-Delocalization Transitions in Non-Hermitian Aharonov-Bohm Cages
- Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux