Anderson localization without eigenstates in photonic quantum walks

• URL: http://arxiv.org/abs/2304.07713v1
• Date: Sun, 16 Apr 2023 07:36:28 GMT
• Title: Anderson localization without eigenstates in photonic quantum walks
• Authors: Stefano Longhi
• Abstract summary: Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. In one-dimensional lattices with off-diagonal disorder Anderson localization can persist for arbitrary time-dependent drivings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Anderson localization is ubiquitous in wavy systems with strong static and uncorrelated disorder. The delicate destructive interference underlying Anderson localization is usually washed out in the presence of temporal fluctuations or aperiodic drives in the Hamiltonian, leading to delocalization and restoring transport. However, in one-dimensional lattices with off-diagonal disorder Anderson localization can persist for arbitrary time-dependent drivings that do not break a hidden conservation law originating from the chiral symmetry, leading to the dubbed 'localization without eigenstates'. Here it is shown that such an intriguing phenomenon can be observed in discrete-time photonic quantum walks with static disorder applied to the coin operator, and can be extended to non-Hermitian dynamics as well.

Related papers

• Lifshitz tail states in non-Hermitian disordered photonic lattices [0.0]
  Anderson localization near the band edges can exhibit anomalously weak localization in the form of Lifshitz tail states. Lifshitz tail states correspond to clusters of contiguous sites with nearly identical on-site energies. We show that when Anderson localization is induced by disorder in an imaginary on-site potential, Lifshitz tail states can dominate the system's dynamics and become experimentally observable.
  arXiv  Detail & Related papers  (2024-12-12T09:36:04Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Many-body Localization in Clean Chains with Long-Range Interactions [2.538209532048867]
  Author numerically investigates thermalization and many-body localization in translational invariant quantum chains. The long-time dynamics is dominated by the homogeneity eigenstates and eventually reach degenerate in real space. On the other hand, the entanglement entropy exhibits the size-dependence beyond the area law for the same reason, even deep in the localized state.
  arXiv  Detail & Related papers  (2023-06-19T04:06:06Z)
• Anderson localization in dissipative lattices [0.0]
  Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt. We consider the purely-dissipative Anderson model in the framework of a Lindblad master equation.
  arXiv  Detail & Related papers  (2023-04-16T07:23:07Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Stable interaction-induced Anderson-like localization embedded in standing waves [8.760432852008211]
  We find the interaction-induced emphstable self-localization of bosons in disorder-free superlattices. We propose a scheme to detect self-localization, where long-time quantum walks of a single particle form a superposition of multiple standing waves.
  arXiv  Detail & Related papers  (2022-07-12T05:18:27Z)
• Localization persisting under aperiodic driving [0.0]
  localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. We identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX chain. This protects indefinitely long-lived localization for general--even aperiodic--drives.
  arXiv  Detail & Related papers  (2021-11-26T15:54:15Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)
• Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition [15.907303576427644]
  We focus on the many-body eigenstates across a localization-delocalization phase transition. In the ergodic phase, the average of eigenstate overlaps $barmathcalO$ is exponential decay with the increase of the system size. For localized systems, $barmathcalO$ is almost size-independent showing the strong robustness of the eigenstates.
  arXiv  Detail & Related papers  (2020-05-19T10:19:52Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.