Floquet time crystals in driven spin systems with all-to-all $p$-body interactions

• URL: http://arxiv.org/abs/2201.10692v2
• Date: Thu, 7 Apr 2022 21:12:28 GMT
• Title: Floquet time crystals in driven spin systems with all-to-all $p$-body interactions
• Authors: Manuel H. Mu\~noz-Arias, Karthik Chinni, Pablo M. Poggi
• Abstract summary: We show the emergence of Floquet time crystal phases in the Floquet dynamics of periodically driven $p$-spin models. We develop a framework to predict robust subharmonic response in classical area-preserving maps. Our analysis reveals that the robustness of the time-crystal behavior is reduced as their period increases.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show the emergence of Floquet time crystal (FTC) phases in the Floquet dynamics of periodically driven $p$-spin models, which describe a collection of spin-1/2 particles with all-to-all $p$-body interactions. Given the mean-field nature of these models, we treat the problem exactly in the thermodynamic limit and show that, for a given $p$, these systems can host various robust time-crystalline responses with period $nT$, where $T$ is the period of the drive and $n$ an integer between 2 and $p$. In particular, the case of four-body interactions ($p=4$) gives rise to both a usual period-doubling crystal, and also a novel period-quadrupling phase. We develop a comprehensive framework to predict robust subharmonic response in classical area-preserving maps, and use this as a basis to predict the occurrence and characterize the stability of the resulting mean-field FTC phases in the quantum regime. Our analysis reveals that the robustness of the time-crystal behavior is reduced as their period increases, and establishes a connection between the emergence of time crystals, described by eigenstate ordering and robust subharmonic response, and the phenomenology of excited state and dynamical quantum phase transitions. Finally, for the models hosting two or more coexisting time crystal phases, we define protocols where the periodic subharmonic response of the system can be varied in time via the non-periodic modulation of an external control parameter.

Related papers

• Information scrambling and entanglement dynamics in Floquet Time Crystals [49.1574468325115]
  We study the dynamics of out-of-time-ordered correlators (OTOCs) and entanglement of entropy as measures of information propagation in disordered systems.
  arXiv  Detail & Related papers  (2024-11-20T17:18:42Z)
• Subspace-thermal discrete time crystals from phase transitions between different n-tuple discrete time crystals [0.46040036610482665]
  We propose a new Floquet time crystal model that responds in arbitrary multiples of the driving period. Transitions between these time crystals with different periods give rise to a novel phase of matter that we call subspace-thermal discrete time crystals.
  arXiv  Detail & Related papers  (2024-09-04T16:19:43Z)
• Swapping Floquet time crystal [0.0]
  We study the persistence of period-doubling oscillations in time and the time-crystal properties of the Floquet spectrum. We find that the interval of parameters where the system does not thermalize and persistent period-doubling is possible.
  arXiv  Detail & Related papers  (2023-12-28T15:32:49Z)
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model [77.34726150561087]
  We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model. We simulate the light-induced transition between two competing phases.
  arXiv  Detail & Related papers  (2022-05-13T13:13:31Z)
• 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)
• Entanglement and correlations in fast collective neutrino flavor oscillations [68.8204255655161]
  Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings. We study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations. We present evidence that these fast collective modes are generated by the same dynamical phase transition.
  arXiv  Detail & Related papers  (2022-03-05T17:00:06Z)
• 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)
• An absolutely stable open time crystal [0.8602553195689513]
  We show that locally-interacting, periodically-driven (Floquet) Hamiltonian dynamics coupled to a Langevin bath support finite-temperature discrete time crystals. The time crystalline order is stable to arbitrary perturbations, including those that break the time translation symmetry of the underlying drive.
  arXiv  Detail & Related papers  (2021-10-01T18:00:00Z)
• Self-ordered Time Crystals: Periodic Temporal Order Under Quasiperiodic Driving [0.0]
  A discrete time crystal is a non-equilibrium phase of matter characterized by persistent sub-harmonic response to a periodic drive. We investigate the dynamics of a Lipkin-Meshkov-Glick model under quasiperiodic kicking. Our results suggest that quasiperiodic driving protocols can provide a promising route for realizing novel non-equilibrium phases of matter.
  arXiv  Detail & Related papers  (2021-09-11T16:42:27Z)
• 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)
• Universal presence of time-crystalline phases and period-doubling oscillations in one-dimensional Floquet topological insulators [2.3978553352626064]
  We report a ubiquitous presence of topological Floquet time crystal (TFTC) in one-dimensional periodically-driven systems. Our modeling of the time-crystalline 'ground state' can be easily realized in experimental platforms such as topological photonics and ultracold fields.
  arXiv  Detail & Related papers  (2020-05-08T09:20:57Z)

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.