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Correlated environments can drive coupled quantum oscillators into long-lived synchronized states. Environmental correlations also induce quantum entanglement, revealing purely quantum mechanical origins for oscillator correlations.

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Area of Science:

  • Quantum Optics
  • Quantum Dynamics
  • Condensed Matter Physics

Background:

  • Understanding quantum oscillator dynamics in dissipative environments is crucial for quantum technologies.
  • Correlated environments can significantly alter system behavior compared to uncorrelated ones.

Purpose of the Study:

  • To investigate the quantum dynamics of coupled oscillators interacting with a common correlated dissipative environment.
  • To explore the role of environmental correlations in inducing synchronization and quantum entanglement.

Main Methods:

  • Analytical integration of equations of motion for operator moments and covariances using Lyapunov equations.
  • Analysis of system behavior under varying degrees of environmental correlation and oscillator resonance.

Main Results:

  • Fully correlated and anti-correlated environments lead to long-lived phase-synchronized states for nearly resonant or resonant oscillators.
  • An exceptional point signifies a transition from unsynchronized to synchronized dynamics as environmental correlations increase.
  • Environmental noise correlations are shown to induce quantum entanglement between oscillators.

Conclusions:

  • Environmental correlations are key drivers of synchronization and quantum entanglement in coupled oscillator systems.
  • The study provides a mathematical framework linking vibronic correlations to long-lived exciton coherences.