Tunable Aharonov-Bohm cages through anti-$\mathcal{PT}$-symmetric imaginary couplings

• URL: http://arxiv.org/abs/2308.11968v1
• Date: Wed, 23 Aug 2023 07:29:56 GMT
• Title: Tunable Aharonov-Bohm cages through anti-$\mathcal{PT}$-symmetric imaginary couplings
• Authors: S. M. Zhang, H. S. Xu, L. Jin
• Abstract summary: The Aharonov-Bohm cage enables localized confinement with nondiffractive propagation for arbitrary excitation. We introduce an anti-parity-time symmetric imaginary coupling in a generalized Creutz ladder to construct a non-Hermitian AB cage with tunable flat-band energy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Aharonov-Bohm (AB) cage enables localized confinement with nondiffractive propagation for arbitrary excitation. In this study, we introduce an anti-parity-time (anti-$\mathcal{PT}$) symmetric imaginary coupling in a generalized Creutz ladder to construct a non-Hermitian AB cage with tunable flat-band energy. We investigate compact localized states and complete localization dynamics, and show that non-Hermiticity affects the localization probability distributions and increases the oscillation period of the AB cage dynamics. Non-Hermitian engineering of the decoupled core of the AB cage is the essential point in our proposal. Our approach is widely applicable to a more general situation and can facilitate the manipulation of localization in physics.

Related papers

• Unveiling the Self-Orthogonality at Exceptional Points in Driven $\mathcal{PT}$-Symmetric Systems [79.16635054977068]
  We explore the effect of self-orthogonality at exceptional points (EPs) in non-Hermitian Parity-Time-symmetric systems.<n>Using a driven three-band lattice model, we show that the Rabi frequency diverges as the system approaches an EP due to the coalescence of eigenstates.
  arXiv  Detail & Related papers  (2025-07-14T12:53:10Z)
• Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion [24.19286053407574]
  In the lattice system, when the synthetic flux reaches a $pi$ phase along a closed loop under the synthetic gauge field, destructive interference occurs and gives rise to the localization phenomenon.<n>In the system where lattice sites possess internal structure and the underlying gauge field is non-Abelian, localization can also occur, forming the non-Abelian AB caging.<n>In contrast to the Abelian AB caging, we numerically observe that the non-Abelian AB caging occurs either when the interference matrix is nilpotent, or when the initial state is specifically set.
  arXiv  Detail & Related papers  (2025-05-01T22:26:02Z)
• Imaginary gauge potentials in a non-Hermitian spin-orbit coupled quantum gas [0.0]
  In 1996, Hatano and Nelson proposed a non-Hermitian lattice model containing an imaginary Peierls phase. We experimentally realize a continuum analog to this model using a homogeneous spin-orbit coupled Bose-Einstein condensate. We demonstrate that the resulting Heisenberg equations of motion for position and momentum depend explicitly on the system's phase-space distribution.
  arXiv  Detail & Related papers  (2025-04-11T15:20:19Z)
• Non-Hermitian Aharonov-Bohm Cage in Bosonic Bogoliubov-de Gennes Systems [1.0419623105391278]
  We construct a non-Hermitian AB cage in a bosonic Bogoliubov-de Gennes (BdG) system with various types of degenerate flat bands (DFBs) Using the transfer matrix, we demonstrate the localization mechanism for the formation of AB cage and the degeneracy types of DFBs. We propose a scheme to realize highly degenerate flat bands.
  arXiv  Detail & Related papers  (2025-01-17T02:15:05Z)
• Dipole-dipole interactions mediated by a photonic flat band [44.99833362998488]
  We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB) We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length. We find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D.
  arXiv  Detail & Related papers  (2024-05-30T18:00:05Z)
• Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach [0.0]
  We show how to generate spin-squeezed states using shortcuts to adiabaticity (STA) and the recently developed enhanced version thereof (eSTA) We show that the eSTA approach allows for a particularly robust realization of strongly spin-squeezed states in this system. Our method could also be employed for the generation of metrologically-useful non-Gaussian states.
  arXiv  Detail & Related papers  (2024-04-30T16:24:43Z)
• Nonequilibrium Nonlinear Effects and Dynamical Boson Condensation in a Driven-Dissipative Wannier-Stark Lattice [0.0]
  Driven-dissipative light-matter systems can exhibit collective nonequilibrium phenomena due to loss and gain processes. We numerically predict a diverse range of stationary and non-stationary states resulting from the interplay of the tilt, tunneling, on-site interactions and loss and gain processes.
  arXiv  Detail & Related papers  (2024-04-29T12:28:52Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• 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)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• Adiabaticity in nonreciprocal Landau-Zener tunneling [7.674326574708779]
  We investigate the Landau-Zener tunneling (LZT) of a self-interacting two-level system in which the coupling between the levels is nonreciprocal. We show that the adiabatic tunneling probabilities can be precisely predicted by the classical action at EPs in the weak nonreciprocal regime.
  arXiv  Detail & Related papers  (2022-01-09T05:57:04Z)
• Shear of the vector potential in the Aharonov-Bohm effect [0.0]
  The Aharonov-Bohm (AB) effect is now largely considered to be a manifestation of geometric phase. We show that a local shear field provides a velocity-dependent, dynamic-phase interaction in the AB effect.
  arXiv  Detail & Related papers  (2021-12-16T21:12:57Z)
• Excited states from eigenvector continuation: the anharmonic oscillator [58.720142291102135]
  Eigenvector continuation (EC) has attracted a lot attention in nuclear structure and reactions as a variational resummation tool for many-body expansions. This work is dedicated to a detailed understanding of the emergence of excited states from the eigenvector continuation approach.
  arXiv  Detail & Related papers  (2021-08-05T19:28:25Z)
• Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems [0.0]
  Dynamical instability is an inherent feature of bosonic systems described by the Bogoliubov de Geenes (BdG) Hamiltonian. We present a theorem for determining the stability of states with energies sufficiently away from zero in terms of an unconventional commutator. We use this model to illustrate how the vanishing of the unconventional commutator selects the symmetries for a system so that its bulk states are stable against (weak) pairing interactions.
  arXiv  Detail & Related papers  (2020-11-30T16:01:27Z)

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.