Synchronization of persistent oscillations in spin systems with non-local dissipations

• URL: http://arxiv.org/abs/2207.06860v3
• Date: Fri, 31 Mar 2023 00:17:44 GMT
• Title: Synchronization of persistent oscillations in spin systems with non-local dissipations
• Authors: Xingli Li, Yan Li, Jiasen Jin
• Abstract summary: We explore the synchronization phenomenon in the quantum few-body system of spins with the non-local dissipation. Without the external driving, we find that the system can exhibit stable oscillatory behaviors in the long-time dynamics. The oscillations of the next-nearest-neighboring spins are completely synchronized by the quantum analysis within the Schr"odinger equation.
• Score: 3.0429703764855343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore the synchronization phenomenon in the quantum few-body system of spins with the non-local dissipation. Without the external driving, we find that the system can exhibit stable oscillatory behaviors in the long-time dynamics accompanied by the appearance of the purely imaginary eigenvalues of the Liouvillian. Moreover, the oscillations of the next-nearest-neighboring spins are completely synchronized revealed by the quantum trajectory analysis within the stochastic Schr\"odinger equation. The possibility of the appearance of the long-time oscillations in infinite-size lattice by means of cluster mean-field approximation is also discussed.

Related papers

• Megastable quantization in self-excited systems [0.0]
  A classical particle in a confining potential gives rise to a Hamiltonian conservative dynamical system. The corresponding quantum particle exhibits countably infinite discrete energy levels. Our formalism can be extended to self-excited particles in general confining potentials.
  arXiv  Detail & Related papers  (2024-06-06T09:40:57Z)
• Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving [1.641189223782504]
  Time crystal, a nonequilibrium phenomenon extending spontaneous symmetry breaking into the temporal dimension, holds fundamental significance in quantum many-body physics. We numerically identify the emergence of novel nonstationary oscillatory states by analyzing the spin dynamics. This study provides many insights into the intricate interplay between the dissipation-induced spin downwards and anisotropic-interaction-induced spin precession or spin fluctuation.
  arXiv  Detail & Related papers  (2024-03-13T12:40:32Z)
• Driven generalized quantum Rayleigh-van der Pol oscillators: Phase localization and spectral response [0.0]
  This work considers the classically driven generalized quantum Rayleigh-van der Pol oscillator. Two non-linear terms break the rotational phase space symmetry, Wigner distribution of quantum mechanical limit cycle state is not rotationally symmetric. Phase localization and frequency entrainment, which are required for synchronization, are discussed in detail. Several observables are found to exhibit the analog of the celebrated classical Arnold tongue.
  arXiv  Detail & Related papers  (2024-01-08T11:19:51Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Quantum non-stationary phenomena of spin systems in collision models [3.0429703764855343]
  We investigate the non-stationary phenomenon in a tripartite spin-1/2 system in the collision model (CM) framework. We find the emergence of long-time oscillation in the dynamics of the system and the synchronization among subsystems.
  arXiv  Detail & Related papers  (2022-10-31T06:34:53Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• 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)
• Ancilla assisted Discrete Time Crystals in Non-interacting Spin Systems [0.0]
  We show the emergence of discrete time translation symmetry breaking in non-interacting systems. These time-periodic structures become stable against perturbations only in the presence of their interaction with the ancillary quantum system.
  arXiv  Detail & Related papers  (2021-07-25T07:41:24Z)
• Synchronisation phase as an indicator of persistent quantum correlations between subsystems [68.8204255655161]
  Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. We show that our analysis applies to a variety of spontaneously synchronising open quantum systems.
  arXiv  Detail & Related papers  (2020-06-29T17:21:32Z)
• Non-equilibrium non-Markovian steady-states in open quantum many-body systems: Persistent oscillations in Heisenberg quantum spin chains [68.8204255655161]
  We investigate the effect of a non-Markovian, structured reservoir on an open Heisenberg spin chain. We establish a coherent self-feedback mechanism as the reservoir couples frequency-dependent to the spin chain.
  arXiv  Detail & Related papers  (2020-06-05T09:16:28Z)

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.