Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems

• URL: http://arxiv.org/abs/2001.01843v1
• Date: Tue, 7 Jan 2020 01:46:27 GMT
• Title: Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems
• Authors: Qing Xia Meng, Zhi Jiao Deng, Zhigang Zhu, and Liang Huang
• Abstract summary: We study the quantum signatures of transitions from stable fixed points to limit cycles in an optomechanical phonon laser system. Most strikingly, the entanglement quite close to the boundary line keeps as a constant, and it is very robust to the thermal phonon noise.
• Score: 7.749074148822401
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Optomechanical systems, due to its inherent nonlinear optomechanical coupling, owns rich nonlinear dynamics of different types of motion. The interesting question is that whether there exist some common quantum features to infer the nonlinear dynamical transitions from one type to another. In this paper, we have studied the quantum signatures of transitions from stable fixed points to limit cycles in an optomechanical phonon laser system. Our calculations show that the entanglement of stable fixed points in the long run does not change with time, however, it will oscillate periodically with time at the mechanical vibration frequency for the limit cycles. Most strikingly, the entanglement quite close to the boundary line keeps as a constant, and it is very robust to the thermal phonon noise, as strong indications of this particular classical transitions.

Related papers

• Nonlinear spin dynamics induced by feedback under continuous Larmor frequency distributions [0.5812284760539712]
  We study the case that the intrinsic Larmor frequencies of individual spins of the system, given rise to by an inhomogeneous bias magnetic field, form a continuum. We establish the relation between the synchronization frequency of limit cycles and the field inhomogeneity and derive an equation determining the stability of limit cycles.
  arXiv  Detail & Related papers  (2024-10-26T05:55:38Z)
• Periodic classical trajectories and quantum scars in many-spin systems [0.0]
  We numerically investigate the stability of exceptional periodic classical trajectories in chaotic many-body systems. We explore a possible connection between these trajectories and exceptional nonthermal quantum eigenstates known as "quantum many-body scars" Our investigation reveals the existence of quantum many-body scars for numerically accessible finite chains of spins 3/2 and higher.
  arXiv  Detail & Related papers  (2024-08-30T21:08:22Z)
• 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)
• Dissipative phase transitions in optomechanical systems [0.0]
  We show that optomechanical quantum systems can undergo dissipative phase transitions within the limit of small nonlinear interaction and strong external drive. In such a defined thermodynamical limit, the nonlinear interaction stabilizes optomechanical dynamics in strong and ultrastrong coupling regimes.
  arXiv  Detail & Related papers  (2022-08-25T09:43:40Z)
• The role of fluctuations in quantum and classical time crystals [58.720142291102135]
  We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
  arXiv  Detail & Related papers  (2022-03-10T19:00:01Z)
• 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)
• 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)
• Noise-Resilient Phase Transitions and Limit-Cycles in Coupled Kerr Oscillators [0.0]
  Driven-dissipative quantum many-body systems have been the subject of many studies in recent years. We investigate the Green's function and correlation of the cavity modes in different regions. Our results shed light on the emergence of dissipative phase transitions in open quantum systems.
  arXiv  Detail & Related papers  (2021-06-08T01:46:01Z)
• Time periodicity from randomness in quantum systems [0.0]
  Many complex systems can spontaneously oscillate under non-periodic forcing. We show that this behavior can emerge within the repeated-interaction description of open quantum systems. Specifically, we consider a many-body quantum system that undergoes dissipation due to sequential coupling with auxiliary systems at random times.
  arXiv  Detail & Related papers  (2021-04-27T18:02:31Z)
• Bridging the Gap Between the Transient and the Steady State of a Nonequilibrium Quantum System [58.720142291102135]
  Many-body quantum systems in nonequilibrium remain one of the frontiers of many-body physics. Recent work on strongly correlated electrons in DC electric fields illustrated that the system may evolve through successive quasi-thermal states. We demonstrate an extrapolation scheme that uses the short-time transient calculation to obtain the retarded quantities.
  arXiv  Detail & Related papers  (2021-01-04T06:23:01Z)
• 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.