Prethermalization in periodically-driven nonreciprocal many-body spin systems

• URL: http://arxiv.org/abs/2208.09005v3
• Date: Wed, 8 Nov 2023 14:13:37 GMT
• Title: Prethermalization in periodically-driven nonreciprocal many-body spin systems
• Authors: Adam J. McRoberts, Hongzheng Zhao, Roderich Moessner, and Marin Bukov
• Abstract summary: We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems. We find that the magnetization dynamics features a long-lived metastable plateau, whose duration is controlled by the fourth power of the drive frequency. We extend the notion of prethermal dynamics, observed in the high-frequency limit of periodically-driven systems, to nonreciprocal systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the dynamics of the system cannot be derived from any time-dependent Hamiltonian. In the high-frequency limit, we find that the magnetization dynamics features a long-lived metastable plateau, whose duration is controlled by the fourth power of the drive frequency. However, due to the lack of an effective Hamiltonian, the prethermal state the system evolves into cannot be understood within the framework of the canonical ensemble. We propose a Hamiltonian extension of the system using auxiliary degrees of freedom, in which the original spins constitute an open yet nondissipative subsystem. This allows us to perturbatively derive effective equations of motion that manifestly display symplecticity breaking at leading order in the inverse frequency. We thus extend the notion of prethermal dynamics, observed in the high-frequency limit of periodically-driven systems, to nonreciprocal systems.

Related papers

• Many-body nonequilibrium dynamics in a self-induced Floquet system [2.4898174182192974]
  We experimentally demonstrate a self-induced Floquet system in the interacting Rydberg gas. This originates from the photoionization of thermal Rydberg gases in a static magnetic field. We probe the nonequilibrium dynamics in the bistable regime and identify the emergence of a discrete time crystalline phase.
  arXiv  Detail & Related papers  (2024-11-07T12:13:02Z)
• Systematic time-coarse graining for driven quantum systems [7.217684156614636]
  We introduce a systematic perturbation theory for obtaining the complete non-unitary effective model of the time-coarse grained dynamics of a driven quantum system. Remarkably, even though the effective theory presumes unitary time evolution at the microscopic level, the time-coarse grained dynamics is found to follow a non-unitary time evolution in general.
  arXiv  Detail & Related papers  (2024-07-08T16:11:52Z)
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving [0.0]
  We investigate the dynamics of a quasiperiodically driven Rydberg atom chain in the strong Rydberg blockage regime. Even without driving, the PXP model exhibits many-body scarring and resultant persistent oscillations. Our results demonstrate that continuous quasi-periodic drive protocols can provide a promising route to realize prethermal phases of matter.
  arXiv  Detail & Related papers  (2024-06-03T15:30:02Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• TANGO: Time-Reversal Latent GraphODE for Multi-Agent Dynamical Systems [43.39754726042369]
  We propose a simple-yet-effective self-supervised regularization term as a soft constraint that aligns the forward and backward trajectories predicted by a continuous graph neural network-based ordinary differential equation (GraphODE) It effectively imposes time-reversal symmetry to enable more accurate model predictions across a wider range of dynamical systems under classical mechanics. Experimental results on a variety of physical systems demonstrate the effectiveness of our proposed method.
  arXiv  Detail & Related papers  (2023-10-10T08:52:16Z)
• Dynamics with autoregressive neural quantum states: application to critical quench dynamics [41.94295877935867]
  We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion. We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
  arXiv  Detail & Related papers  (2022-09-07T15:50:00Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Metastable discrete time-crystal resonances in a dissipative central spin system [0.0]
  Generalizing the theory of metastability in open quantum systems, we develop an effective description for the evolution within a long-lived metastable subspace. Our study links to timely questions concerning emergent collective behavior in the 'prethermal' stage of a dissipative quantum many-body evolution.
  arXiv  Detail & Related papers  (2022-05-23T12:27:09Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Nonseparable Symplectic Neural Networks [23.77058934710737]
  We propose a novel neural network architecture, Nonseparable Symplectic Neural Networks (NSSNNs) NSSNNs uncover and embed the symplectic structure of a nonseparable Hamiltonian system from limited observation data. We show the unique computational merits of our approach to yield long-term, accurate, and robust predictions for large-scale Hamiltonian systems.
  arXiv  Detail & Related papers  (2020-10-23T19:50:13Z)

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.