Quantum Synchronization of Fock States
- URL: http://arxiv.org/abs/2605.30271v1
- Date: Thu, 28 May 2026 17:30:07 GMT
- Title: Quantum Synchronization of Fock States
- Abstract summary: Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain.<n>We show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state with a negative Wigner function.<n>We argue that synchronization is a dynamical property and fundamentally tied to the suppression of phase slips.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state with a negative Wigner function. We demonstrate that this non-classical state can be phase-locked to an external drive, achieving synchronization within an Arnold tongue regime. We argue that synchronization is a dynamical property and fundamentally tied to the suppression of phase slips, which we show to occur with exponentially decreasing probability. We introduce a novel method to extract the phase slip rate from the Lindblad time evolution of the system. This work opens new avenues for understanding and manipulating non-classical synchronization dynamics.
Related papers
- Quantum Synchronization of Perturbed Oscillating Coherences [0.0]
We investigate the response of spin systems that possess such oscillating modes to generic, weak perturbations.<n>We show that even when these perturbations break the symmetry and lead to a single steady state, the phase correlations in the resulting state exhibit signatures of synchronization.
arXiv Detail & Related papers (2025-10-13T16:41:08Z) - Observation of synchronization between two quantum van der Pol oscillators in trapped ions [3.7967008906519513]
Synchronization is a hallmark of nonlinear dynamics and drives self-organized behavior across systems.<n>Here, we demonstrate synchronization between two quantum van der Pol oscillators using trapped ions.<n>Our results establish limit-cycle synchronization in the quantum regime and pave the way toward exploring complex synchronized dynamics in larger networks.
arXiv Detail & Related papers (2025-09-22T21:05:46Z) - Transient dynamics of the quantum Stuart-Landau oscillator [0.27998963147546146]
We investigate the transient dynamics of a quantum system exhibiting a limit cycle and synchronization.<n>To quantify the evolution speed, we examined the system's Lindbladian spectra, particularly the Liouvillian gap.<n>This study provides a deeper insight into the transient behavior of self-sustained quantum systems.
arXiv Detail & Related papers (2024-06-18T07:05:11Z) - Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it.
We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
arXiv Detail & Related papers (2023-06-16T16:41:16Z) - Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems.
We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths.
We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z) - 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) - Classical-driving-assisted quantum synchronization in non-Markovian
environments [2.4603302139672008]
We study the quantum phase synchronization of a driven two-level system (TLS) coupled to a structured environment.
We show that the classical driving enables a TLS to reach stable anti-phase locking in the Markovian regime.
arXiv Detail & Related papers (2022-09-13T12:49:08Z) - 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) - Quantum Zeno effect appears in stages [64.41511459132334]
In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates.
We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
arXiv Detail & Related papers (2020-03-23T18:17:36Z) - Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit.
We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront.
The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
arXiv Detail & Related papers (2020-03-09T21:27:02Z)
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.