Observation of a symmetry-protected topological time crystal with superconducting qubits

• URL: http://arxiv.org/abs/2109.05577v1
• Date: Sun, 12 Sep 2021 18:00:03 GMT
• Title: Observation of a symmetry-protected topological time crystal with superconducting qubits
• Authors: Xu Zhang, Wenjie Jiang, Jinfeng Deng, Ke Wang, Jiachen Chen, Pengfei Zhang, Wenhui Ren, Hang Dong, Shibo Xu, Yu Gao, Feitong Jin, Xuhao Zhu, Qiujiang Guo, Hekang Li, Chao Song, Zhen Wang, Dong-Ling Deng and H. Wang
• Abstract summary: 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.
• Score: 14.264932047880043
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of the discrete time translational symmetry occurs for local observables throughout the whole system, the topological time crystal observed in our experiment breaks the time translational symmetry only at the boundaries and has trivial dynamics in the bulk. More concretely, we observe robust long-lived temporal correlations and sub-harmonic temporal response for the edge spins up to 40 driving cycles. We demonstrate that the sub-harmonic response is independent of whether the initial states are random product states or symmetry-protected topological states, and experimentally map out the phase boundary between the time crystalline and thermal phases. 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, with current noisy intermediate-scale quantum processors.

Related papers

• Observation of a time crystal comb in a driven-dissipative system with Rydberg gas [2.4898174182192974]
  Time crystals manifest as stable and periodic behavior that breaks time translation symmetry. In an open quantum system, many-body interaction subjected to dissipation allows one to develop the time crystalline order in an unprecedented way. We report the observation of a time crystal comb in the continuously driven-dissipative and strongly interacting Rydberg thermal gas.
  arXiv  Detail & Related papers  (2024-02-20T16:09:29Z)
• Long-lived topological time-crystalline order on a quantum processor [16.781279220543517]
  Topologically ordered phases of matter elude Landau's symmetry-breaking theory. We report the observation of signatures of such a phenomenon with programmable superconducting qubits arranged on a square lattice. We further connect the observed dynamics to the underlying topological order by measuring a nonzero topological entanglement entropy.
  arXiv  Detail & Related papers  (2024-01-09T03:20:15Z)
• 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)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Clean two-dimensional Floquet time-crystal [68.8204255655161]
  We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network methods that the system can sustain a spontaneously broken discrete time-translation symmetry. We observe a non-perturbative change in the decay rate of the order parameter, which is related to the long-lived stability of the magnetic domains in 2D.
  arXiv  Detail & Related papers  (2022-05-10T13:04:43Z)
• Genuine Multipartite Correlations in a Boundary Time Crystal [56.967919268256786]
  We study genuine multipartite correlations (GMC's) in a boundary time crystal (BTC) We analyze both (i) the structure (orders) of GMC's among the subsystems, as well as (ii) their build-up dynamics for an initially uncorrelated state.
  arXiv  Detail & Related papers  (2021-12-21T20:25:02Z)
• 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 Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Signatures of discrete time-crystallinity in transport through an open Fermionic chain [0.0]
  We analytically identify the conditions for observing time-crystalline behavior in a periodically driven open Fermi-Hubbard chain attached to electrodes. Remarkably, the spin-polarized transport current directly manifests the existence of a time-crystalline behavior. Our findings are verifiable in present-day experiments with quantum-dot arrays and Fermionic ultra-cold atoms in optical lattices.
  arXiv  Detail & Related papers  (2021-07-09T05:21:07Z)
• Realization of a discrete time crystal on 57 qubits of a quantum computer [0.0]
  We report the observation of a discrete time crystal on a chain consisting of 57 superconducting qubits on a state-of-the-art quantum computer. We probe random initial states and compare the cases of vanishing and finite disorder to distinguish many-body localization from pre-thermal dynamics.
  arXiv  Detail & Related papers  (2021-05-14T04:05:14Z)
• 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.