Parametric resonant enhancement of motional entanglement under optimal control: an analytical study

• URL: http://arxiv.org/abs/2510.18427v1
• Date: Tue, 21 Oct 2025 09:01:19 GMT
• Title: Parametric resonant enhancement of motional entanglement under optimal control: an analytical study
• Authors: Gad Horovitz, Alexander N. Poddubny,
• Abstract summary: 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.
• Score: 45.88028371034407
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction, in the presence of a feedback control scheme. 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. Our model accurately reproduces the numerical findings and provides closed-form expressions for the entanglement degree. We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.

Related papers

• 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.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems [0.0]
  We pinpoint the conditions necessary for discrete time crystal formation in fully connected spin-cavity systems. We elucidate the role of nonlinearity and dissipation by mapping the periodically driven open Dicke model onto effective linear and nonlinear oscillator models. We analyze the effect of global symmetry breaking using the Lipkin-Meshkov-Glick model with tunable anisotropy.
  arXiv  Detail & Related papers  (2024-02-06T05:53:21Z)
• 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)
• Phase control of localization in the nonlinear two-mode system from harmonic mixing driving: Perturbative analysis and symmetry consideration [6.7407868933337145]
  We present a rigorous analysis of symmetry and underlying physics of the nonlinear two-mode system driven by a harmonic mixing field. The results are of relevance for the phase control of the atomic localization in Bose-Einstein condensates or switch of the optical signals in nonlinear mediums.
  arXiv  Detail & Related papers  (2022-07-11T10:35:55Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• 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)
• 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)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Role of Dissipation on the Stability of a Parametrically Driven Quantum Harmonic Oscillator [0.0]
  We show that the time evolution of a parametrically driven dissipative quantum oscillator has a strong connection with the classical damped Mathieu equation. We obtain a closed relationship between the localization of the Wigner function and the stability of the damped Mathieu equation.
  arXiv  Detail & Related papers  (2021-06-26T13:21:44Z)
• Enhancement of squeezing in the Rabi model with parametric nonlinearity [0.0]
  The squeezing effect arises in the interacting qubit-oscillator system. Based on the generalized rotating wave approximation, the approximate energy spectrum is compared with the numerically determined spectrum of the Hamiltonian. It is shown that the squeezing produced in the Rabi model can be enhanced substantially in the presence of a parametric nonlinear term.
  arXiv  Detail & Related papers  (2020-08-04T06:26:43Z)
• Quantum relaxation in a system of harmonic oscillators with time-dependent coupling [0.0]
  We analyze the relaxation of nonequilibrium initial distributions for a system of coupled one-dimensional harmonic oscillators. We show that in general the system studied here tends to equilibrium, but the relaxation can be retarded depending on the values of the parameters.
  arXiv  Detail & Related papers  (2020-07-06T12:57:18Z)

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.