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-symmetry from Lindblad dynamics in a linearized optomechanical system.

B Jaramillo Ávila1, C Ventura-Velázquez2, R de J León-Montiel3

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This study explores optomechanical systems, revealing how coupling strength controls frequency conversion. It links passive parity-time symmetry breaking to transitions between mode hybridization and damped dynamics, offering insights for quantum simulations.

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Area of Science:

  • Quantum optics and optomechanics
  • Non-Hermitian physics
  • Quantum information science

Background:

  • Optomechanical systems enable quantum state transfer and frequency conversion.
  • Understanding the transition between strong and weak coupling regimes is crucial.
  • Parity-time (PT) symmetry breaking offers a framework for non-Hermitian quantum dynamics.

Purpose of the Study:

  • To analyze a lossy linearized optomechanical system for quantum state transfer.
  • To investigate the connection between coupling strength, PT symmetry, and system dynamics.
  • To compare open quantum system approaches with PT-symmetric Hamiltonians.

Main Methods:

  • Analysis of a lossy linearized optomechanical system in the red-detuned regime.
  • Application of the rotating wave approximation.
  • Numerical exploration of quantum state evolution under different initial conditions and temperatures.

Main Results:

  • The optomechanical state transfer protocol acts as a lossy frequency converter.
  • A transition from mode-hybridization to damped dynamics signifies passive PT symmetry breaking.
  • Identified conditions where open quantum system dynamics match PT-symmetric Hamiltonian dynamics.

Conclusions:

  • Optomechanical systems can realize non-Hermitian Hamiltonians at a quantum level.
  • The study provides a pathway for quantum simulations using optomechanical setups.
  • Demonstrated the link between PT symmetry breaking and observable optomechanical phenomena.