Phase synchronization in dissipative non-Hermitian coupled quantum systems

• URL: http://arxiv.org/abs/2111.02201v1
• Date: Wed, 3 Nov 2021 13:12:59 GMT
• Title: Phase synchronization in dissipative non-Hermitian coupled quantum systems
• Authors: J. Rohn, K. P. Schmidt and C. Genes
• Abstract summary: We study the interplay between non-Hermitian dynamics and phase synchronization in a system of $mathcalN$ bosonic modes coupled to an auxiliary mode. We provide analytical and numerical solutions for systems ranging from a few modes to the macroscopic limit of large $mathcalN$ in the presence of inhomogeneous frequency broadening.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the interplay between non-Hermitian dynamics and phase synchronization in a system of $\mathcal{N}$ bosonic modes coupled to an auxiliary mode. The linearity of the evolution in such a system allows for the derivation of fully analytical results for synchronization conditions. In contrast, analysis at the level of phase dynamics, followed by a transformation to a collective basis allows a complete reduction to an all-to-all coupled Kuramoto model with known analytical solutions. We provide analytical and numerical solutions for systems ranging from a few modes to the macroscopic limit of large $\mathcal{N}$ in the presence of inhomogeneous frequency broadening and test the robustness of phase synchronization under the action of external noise.

Related papers

• On the Mechanism and Dynamics of Modular Addition: Fourier Features, Lottery Ticket, and Grokking [49.1352577985191]
  We present a comprehensive analysis of how two-layer neural networks learn features to solve the modular addition task.<n>Our work provides a full mechanistic interpretation of the learned model and a theoretical explanation of its training dynamics.
  arXiv  Detail & Related papers  (2026-02-18T20:25:13Z)
• Synchronization effects in a periodically driven two-level system [0.0]
  We study phase-synchronization in a driven two-level system coupled to a non-Markovian bosonic reservoir.<n>We observe that a robust phase-locking develops and that the corresponding synchronization measure rapidly acquires a finite value.
  arXiv  Detail & Related papers  (2025-11-06T13:20:13Z)
• Parametric resonant enhancement of motional entanglement under optimal control: an analytical study [45.88028371034407]
  We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction.<n>We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations.<n>We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
  arXiv  Detail & Related papers  (2025-10-21T09:01:19Z)
• A multiscale analysis of mean-field transformers in the moderate interaction regime [7.742297876120561]
  We study the evolution of tokens through the depth of encoder-only transformer models at inference time.<n>We provide a rigorous characterization of the limiting dynamics in each of these phases and prove convergence in the above mentioned limit.
  arXiv  Detail & Related papers  (2025-09-29T16:57:04Z)
• Nonequilibrium Critical Scaling of a Squeezing Phase Transition [0.0]
  We find a transition between a collective phase characterized by Heisenberg limited squeezing and a partially collective phase with scalable squeezing.<n>Our work demonstrates a novel dynamical phase transition with potential applications in quantum sensing and quantum simulation in cold-atomic, molecular or Rydberg platforms.
  arXiv  Detail & Related papers  (2025-03-14T18:43:34Z)
• Graph Fourier Neural ODEs: Modeling Spatial-temporal Multi-scales in Molecular Dynamics [38.53044197103943]
  GF-NODE integrates a graph Fourier transform for spatial frequency decomposition with a Neural ODE framework for continuous-time evolution.<n>We show that GF-NODE achieves state-of-the-art accuracy while preserving essential geometrical features over extended simulations.<n>These findings highlight the promise of bridging spectral decomposition with continuous-time modeling to improve the robustness and predictive power of MD simulations.
  arXiv  Detail & Related papers  (2024-11-03T15:10:48Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment. We find sufficient conditions under which dynamical decoupling works for such systems. Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Investigating the Impact of Qubit Velocity on Quantum Synchronization Dynamics [1.1068280788997427]
  We investigate the quantum synchronization dynamics of a moving qubit interacting with a dissipative cavity environment. We focus on self-synchronization phenomena, where the qubit's phase dynamics exhibit locking to its initial phase distribution.
  arXiv  Detail & Related papers  (2024-09-02T19:16:16Z)
• Stochastic action for the entanglement of a noisy monitored two-qubit system [55.2480439325792]
  We study the effect of local unitary noise on the entanglement evolution of a two-qubit system subject to local monitoring and inter-qubit coupling. We construct a Hamiltonian by incorporating the noise into the Chantasri-Dressel-Jordan path integral and use it to identify the optimal entanglement dynamics. Numerical investigation of long-time steady-state entanglement reveals a non-monotonic relationship between concurrence and noise strength.
  arXiv  Detail & Related papers  (2024-03-13T11:14:10Z)
• Transient dynamical phase diagram of the spin-boson model [0.0]
  We investigate the real-time dynamics of the sub-Ohmic spin-boson model across a broad range of coupling strengths. We extract signatures of the zero-temperature quantum phase transition between localized and delocalized states. We identify and quantitatively analyze two competing mechanisms for the crossover between coherent oscillations and incoherent decay.
  arXiv  Detail & Related papers  (2024-02-28T18:52:23Z)
• Lie algebraic quantum phase reduction based on heterodyne detection [1.6574413179773757]
  We extend the quantum phase reduction approach [PhysRevLett.132.093602] into heterodyne detection. This study offers a comprehensive theoretical framework for analyzing quantum synchronization dynamics.
  arXiv  Detail & Related papers  (2023-04-17T11:26:07Z)
• Collective dynamics of the unbalanced three-level Dicke model [1.6621646421302865]
  We study a three-level Dicke model in V-configuration under both closed and open conditions. With independently tunable co- and counter-rotating coupling strength of the interaction Hamiltonian, this model is a generalization of the standard Dicke model. It is found that the system exhibits rich quantum phase behaviours, including distinct superradiant fixed points, multi-phase coexistence and limit cycle oscillation.
  arXiv  Detail & Related papers  (2022-11-14T11:58:54Z)
• Predicting the State of Synchronization of Financial Time Series using Cross Recurrence Plots [75.20174445166997]
  This study introduces a new method for predicting the future state of synchronization of the dynamics of two financial time series. We adopt a deep learning framework for methodologically addressing the prediction of the synchronization state. We find that the task of predicting the state of synchronization of two time series is in general rather difficult, but for certain pairs of stocks attainable with very satisfactory performance.
  arXiv  Detail & Related papers  (2022-10-26T10:22:28Z)
• 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)
• Convex Analysis of the Mean Field Langevin Dynamics [49.66486092259375]
  convergence rate analysis of the mean field Langevin dynamics is presented. $p_q$ associated with the dynamics allows us to develop a convergence theory parallel to classical results in convex optimization.
  arXiv  Detail & Related papers  (2022-01-25T17:13:56Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems [0.0]
  We describe an efficient numerical method for simulating the dynamics of interacting spin ensembles in the presence of dephasing and decay. This opens up the possibility to perform accurate real-scale simulations of a diverse range of experiments in quantum optics or with solid-state spin ensembles under realistic laboratory conditions.
  arXiv  Detail & Related papers  (2021-04-30T18:00:00Z)
• 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)
• Switching dynamics of single and coupled VO2-based oscillators as elements of neural networks [55.41644538483948]
  We report on the switching dynamics of both single and coupled VO2-based oscillators, with resistive and capacitive coupling, and explore the capability of their application in neural networks. For the resistive coupling, it is shown that synchronization takes place at a certain value of the coupling resistance, though it is unstable and a synchronization failure occurs periodically. For the capacitive coupling, two synchronization modes, with weak and strong coupling, are found. The transition between these modes is accompanied by chaotic oscillations.
  arXiv  Detail & Related papers  (2020-01-07T02:16:04Z)

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.