Quantum-to-semiclassical Husimi dynamics of non-Hermitian localization transitions
arXiv:2603.07178 · doi:10.1103/jqtx-3znq
Abstract
The localization transition in the Hermitian Aubry-André model is known to have a clear classical origin, with the critical point being exactly predictable from an analysis of classical phase-space trajectories. Motivated by this correspondence, we investigate whether a similar classical origin exists for localization transitions in non-Hermitian quasiperiodic Hamiltonians. Using semiclassical Husimi dynamics together with a detailed phase-space stability analysis, we show that localization transitions persist even in the semiclassical limit of such non-Hermitian models. However, in sharp contrast to the Hermitian Aubry-André case, the transition point inferred from classical phase-space analysis does not coincide with the quantum critical point. Instead, we find that the semiclassical transition depends sensitively on the choice of the irrational parameter defining the quasiperiodic potential, indicating the absence of a universal classical-quantum correspondence for the localization transition in the non-Hermitian setting. Nonetheless, we identify a suitable parameter regime in which the classical dynamics can faithfully mimic the quantum dynamics over a finite but appreciable time window.
22 pages, 17 figures
References in corpus (47)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Making Sense of Non-Hermitian Hamiltonians
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- PT-Symmetric Quantum Mechanics
- Quantum trajectories and open many-body quantum systems
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- Experimental realization of a Weyl exceptional ring
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Metal-insulator phase transition in a non-Hermitian Aubry-André-Harper Model
- Observation of PT-symmetric quantum interference
- Simulating non-Hermitian quasicrystals with single-photon quantum walks
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Phase transitions in a non-Hermitian Aubry-André-Harper model
- Quantum chaos and effective thermalization
- Localization and topological transitions in non-Hermitian quasiperiodic lattices
- Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
- Anomalous transport in the Aubry-André-Harper model in isolated and open systems
- Classical limit of non-Hermitian quantum dynamics - a generalised canonical structure
- Drive Induced Delocalization in Aubry-André Model
- Localization by bichromatic potentials versus Anderson localization
- Wave packet evolution in non-Hermitian quantum systems
- Duality between two generalized Aubry-Andre models with exact mobility edges
- Anderson localization transition in a robust -symmetric phase of a generalized Aubry-Andre model
- Localization Driven Quantum Sensing
- Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
- Percolation-induced PT symmetry breaking
- Scaling of the bulk polarization in extended and localized phases of a quasiperiodic model
- Lindblad dynamics of Gaussian states and their superpositions in the semiclassical limit
- Exact complex mobility edges and flagellate spectra for non-Hermitian quasicrystals with exponential hoppings
- Phase space flow in the Husimi representation
- A numerical study of the localization transition of Aubry-André type models
- Husimi dynamics generated by non-Hermitian Hamiltonians
- Semiclassical Husimi distributions for non-Hermitian quantum systems
- Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
- Anderson localization induced by complex potential
- Complex semiclassical theory for non-Hermitian quantum systems
- Controlled probing of localization effects in the non-Hermitian Aubry-André model via topolectrical circuits
- PT-Symmetry Breaking Transitions in Polymeric Systems
- Topological structures in the Husimi flow
- Beyond the non-Hermitian skin effect: scaling-controlled topology from Exceptional-Bound Bands
- Anomalous spectrum in a non-Hermitian quasiperiodic chain
- Probing quantum phase transition via quantum speed limit
- Correspondence principle, dissipation, and Ginibre ensemble