Link between \emph{Zitterbewegung} and topological phase transition

• URL: http://arxiv.org/abs/2201.12628v1
• Date: Sat, 29 Jan 2022 17:59:08 GMT
• Title: Link between \emph{Zitterbewegung} and topological phase transition
• Authors: Xin Shen, Yan-Qing Zhu and Zhi Li
• Abstract summary: We investigate the relationship between emphZitterbewegung and the topology of systems that reflect the properties of the local and whole energy bands. By studying emphZitterbewegung dynamics before and after topological phase transition, we find that the direction of quasiparticles' oscillation can well reflect topological properties.
• Score: 6.390959580779527
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological quantum state described by the global invariant has been extensively studied in theory and experiment. In this letter, we investigate the relationship between \emph{Zitterbewegung} and the topology of systems that reflect the properties of the local and whole energy bands, respectively. We generalize the usual two-band effective Hamiltonian to characterize the topological phase transition of the spin-$J$ topological insulator. By studying \emph{Zitterbewegung} dynamics before and after topological phase transition, we find that the direction of quasiparticles' oscillation can well reflect topological properties. Furthermore, we develop a quantitative calculation formula for the topological invariant in the spin-$J$ Chern insulator and give the selection rule of the corresponding dynamics. Finally, we demonstrate that our theory is valid in different topological systems. The topological invariant can be represented by local dynamical properties of the high-symmetry points in the first Brillouin zone, which provides a new measurement method from the dynamical perspective.

Related papers

• Relative Representations: Topological and Geometric Perspectives [53.88896255693922]
  Relative representations are an established approach to zero-shot model stitching. We introduce a normalization procedure in the relative transformation, resulting in invariance to non-isotropic rescalings and permutations. Second, we propose to deploy topological densification when fine-tuning relative representations, a topological regularization loss encouraging clustering within classes.
  arXiv  Detail & Related papers  (2024-09-17T08:09:22Z)
• Predicting Topological Entanglement Entropy in a Rydberg analog simulator [0.0]
  This work focuses on the dynamical preparation of a quantum-spin-liquid state on a Rydberg-atom simulator. The flexibility of our approach does not only allow one to match the physically correct form of the Rydberg-atom Hamiltonian but also the relevant lattice topology. We show that, while the simulated state exhibits (global) topological order and local properties resembling those of a resonating-valence-bond (RVB) state, it lacks the latter's characteristic topological entanglement entropy signature.
  arXiv  Detail & Related papers  (2024-06-28T12:27:42Z)
• Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system [11.467872077398688]
  We study topological chiral and nonreciprocal dynamics by encircling the exceptional points (EPs) of non-Hermitian Hamiltonians in a trapped ion system. These dynamics are topologically robust against external perturbations even in the presence dissipation-induced nonadiabatic processes. Our results mark a significant step towards exploring topological properties of open quantum systems.
  arXiv  Detail & Related papers  (2024-06-05T07:51:58Z)
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach [11.15439488946414]
  We investigate the dynamical characterization theory for periodically driven systems in which Floquet topology can be fully detected. We propose a more flexible scheme to characterize a generic class of $d$-dimensional Floquet topological phases. This study provides an immediately implementable approach for dynamically classifying Floquet topological phases in ultracold atoms or other quantum simulators.
  arXiv  Detail & Related papers  (2023-10-12T15:23:44Z)
• Topological transitions of the generalized Pancharatnam-Berry phase [55.41644538483948]
  We show that geometric phases can be induced by a sequence of generalized measurements implemented on a single qubit. We demonstrate and study this transition experimentally employing an optical platform. Our protocol can be interpreted in terms of environment-induced geometric phases.
  arXiv  Detail & Related papers  (2022-11-15T21:31:29Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Bridging the gap between topological non-Hermitian physics and open quantum systems [62.997667081978825]
  We show how to detect a transition between different topological phases by measuring the response to local perturbations. Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
  arXiv  Detail & Related papers  (2021-09-22T18:00:17Z)
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes [11.012609338912506]
  Topological phases of the famous Altland-Zirnbauer (AZ) tenfold classes are defined on the equilibrium ground states. This work establishes a universal dynamical characterization for the complete AZ symmetry classes of topological phases.
  arXiv  Detail & Related papers  (2021-04-01T16:49:07Z)
• Topological holographic quench dynamics in a synthetic dimension [4.703471655236035]
  We propose to efficiently characterize photonic topological phases via holographic quench dynamics. Key prediction is that the complete topological information of the Hamiltonian is extracted from quench dynamics solely in the time domain. This work also shows that the photonic synthetic frequency dimension provides an efficient and powerful way to explore the topological non-equilibrium dynamics.
  arXiv  Detail & Related papers  (2021-01-21T13:46:33Z)
• 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)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

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.