Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry

• URL: http://arxiv.org/abs/2105.06989v4
• Date: Tue, 15 Feb 2022 11:54:51 GMT
• Title: Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• Authors: Lingzhen Guo, Vittorio Peano and Florian Marquardt
• Abstract summary: We show that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. Our work has important implications for the dynamics of 2D charged particles in a strong magnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It was recently discovered that atoms subject to a time-periodic drive can give rise to a crystal structure in phase space. In this work, we point out the atom-atom interactions give rise to collective phonon excitations of phase-space crystal via a pairing interaction with intrinsically complex phases that can lead to a phonon Chern insulator, accompanied by topologically robust chiral transport along the edge of the phase-space crystal. This topological phase is realized even in scenarios where the time-reversal transformation is a symmetry, which is surprising because the breaking of time-reversal symmetry is a strict precondition for topological chiral transport in the standard setting of real-space crystals. Our work has also important implications for the dynamics of 2D charged particles in a strong magnetic field.

Related papers

• Squeezing Quantum States in Three-Dimensional Twisted Crystals [0.0]
  A fundamental idea in wave mechanics is that propagation in a periodic medium can be described by Bloch waves whose conserved crystal momenta define their transformations when displaced by the set of discrete lattice translations. In ordered materials where incommensurate spatial periods compete, this general principle is rendered ineffective, often with dramatic consequences. Examples are crystals with broken symmetries from charge or spin density waves, quasiperiodic lattices that produce diffraction patterns with crystallographically forbidden point symmetries, and stacks of two-dimensional lattices with a relative rotation (twist) between layers.
  arXiv  Detail & Related papers  (2024-09-25T04:01:01Z)
• Dissipative time crystal in a strongly interacting Rydberg gas [14.07614057267722]
  We report the experimental observation of such dissipative time crystalline order in a room-temperature atomic gas. The observed limit cycles arise from the coexistence and competition between distinct Rydberg components. The nondecaying autocorrelation of the oscillation, together with the robustness against temporal noises, indicate the establishment of true long-range temporal order.
  arXiv  Detail & Related papers  (2023-05-31T17:44:32Z)
• Higher-order topological Peierls insulator in a two-dimensional atom-cavity system [58.720142291102135]
  We show how photon-mediated interactions give rise to a plaquette-ordered bond pattern in the atomic ground state. The pattern opens a non-trivial topological gap in 2D, resulting in a higher-order topological phase hosting corner states. Our work shows how atomic quantum simulators can be harnessed to investigate novel strongly-correlated topological phenomena.
  arXiv  Detail & Related papers  (2023-05-05T10:25:14Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Nonperturbative Casimir effects: Vacuum structure, Confinement, and Chiral Symmetry Breaking [91.3755431537592]
  We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase transitions properties in the presence of Casimir plates.
  arXiv  Detail & Related papers  (2022-08-06T07:39:36Z)
• Crystalline Phases of Laser-Driven Dipolar Bose-Einstein Condensates [0.0]
  We study the emergent crystallization of a laser-driven dipolar Bose-Einstein condensate. The competition between these two interactions results in a collective excitation spectrum with two roton minima. We find that both rotons can also soften simultaneously, resulting in the formation of exotic, complex periodic or aperiodic density patterns.
  arXiv  Detail & Related papers  (2022-07-04T18:01:58Z)
• Topological space-time crystal [1.0152838128195467]
  We introduce a new class of out-of-equilibrium noninteracting topological phases, the topological space-time crystals. These are time-dependent quantum systems which do not have discrete spatial translation symmetries, but instead are invariant under discrete space-time translations.
  arXiv  Detail & Related papers  (2022-01-10T19:00:02Z)
• Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
  We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
  arXiv  Detail & Related papers  (2021-12-21T19:57:30Z)
• Observation of a symmetry-protected topological time crystal with superconducting qubits [14.264932047880043]
  We report the observation of a symmetry-protected topological time crystal implemented with an array of programmable superconducting qubits. We observe robust long-lived temporal correlations and sub-harmonic temporal response for the edge spins up to 40 driving cycles. Our work paves the way to exploring peculiar non-equilibrium phases of matter emerged from the interplay between topology and localization as well as periodic driving.
  arXiv  Detail & Related papers  (2021-09-12T18:00:03Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)
• 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.