Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion

• URL: http://arxiv.org/abs/2505.00899v1
• Date: Thu, 01 May 2025 22:26:02 GMT
• Title: Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
• Authors: Zhiyuan Liu, Wanchao Yao, Sai Li, Yi Li, Yue Li, Zheng-Yuan Xue, Yiheng Lin,
• Abstract summary: 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.
• Score: 24.19286053407574
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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. This is known as the Aharonov-Bohm (AB) caging effect. It provides a powerful tool for the study of quantum transportation and dynamical effects. 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. Here, we propose an experimental scheme to synthesize non-Abelian gauge fields with a single trapped ion by coupling multiple internal levels and Fock states in its motion via laser fields. 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. Our experimental scheme broadens the study of localization phenomena and provides a novel tool for the study of non-Abelian physics.

Related papers

• A purely geometrical Aharonov-Bohm effect [0.14999444543328289]
  We present an application of the affine covariant integral quantization (ACIQ) to quantum mechanics on the punctured plane.<n>Due to the topology of the punctured plane, our quantization procedure gives rise to an affine vector potential.<n>Results provide a new perspective on the AB effect, highlighting the central roles of topology and symmetry in quantum mechanics.
  arXiv  Detail & Related papers  (2024-12-18T14:58:22Z)
• Nonlinearity-induced dynamical self-organized twisted-bilayer lattices in Bose-Einstein condensates [26.52467042417047]
  We propose a new scheme to realize a nonlinearity-induced dynamical self-organized twisted-bilayer lattice in an atomic Bose-Einstein condensate (BEC) The key idea here is to utilize the nonlinear effect from the intrinsic atomic interactions to couple different layers and induce a dynamical self-organized supercell structure. One of the interesting moir'e phenomena, i.e., the flat-band physics, is shown through investigating the dynamics of the wave packet of BEC.
  arXiv  Detail & Related papers  (2024-07-31T09:25:39Z)
• Tunable Aharonov-Bohm cages through anti-$\mathcal{PT}$-symmetric imaginary couplings [0.0]
  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.
  arXiv  Detail & Related papers  (2023-08-23T07:29:56Z)
• Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor [0.0]
  Non-Abelian topological order (TO) is a coveted state of matter with remarkable properties. We present the first unambiguous realization of non-Abelian TO and demonstrate control of its anyons.
  arXiv  Detail & Related papers  (2023-05-05T18:01:05Z)
• Electrodynamic Aharonov-Bohm effect [0.0]
  We propose an electrodynamic Aharonov-Bohm scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux. In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages.
  arXiv  Detail & Related papers  (2023-02-28T13:07:24Z)
• Unconditional Wigner-negative mechanical entanglement with linear-and-quadratic optomechanical interactions [62.997667081978825]
  We propose two schemes for generating Wigner-negative entangled states unconditionally in mechanical resonators. We show analytically that both schemes stabilize a Wigner-negative entangled state that combines the entanglement of a two-mode squeezed vacuum with a cubic nonlinearity. We then perform extensive numerical simulations to test the robustness of Wigner-negative entanglement attained by approximate CPE states stabilized in the presence of thermal decoherence.
  arXiv  Detail & Related papers  (2023-02-07T19:00:08Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• 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)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Non-Abelian Aharonov-Bohm Caging in Photonic Lattices [21.788288671239304]
  Aharonov-Bohm (AB) caging is the localization effect in translational-invariant lattices due to destructive interference induced by penetrated magnetic fields. We develop the non-Abelian AB caging concept by considering the particle localization in a 1D multi-component rhombic lattice with non-Abelian background gauge field.
  arXiv  Detail & Related papers  (2020-01-23T14:27:51Z)

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.