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Attractive-repulsive interaction in coupled quantum oscillators.

Bulti Paul1, Biswabibek Bandyopadhyay2, Tanmoy Banerjee1

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Researchers explored quantum oscillators with coupled attraction and repulsion, discovering a novel symmetry-breaking transition. This quantum phenomenon generates entanglement, unlike its classical counterparts.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics
  • Condensed matter theory

Background:

  • Coupled oscillators exhibit complex collective behaviors.
  • Quantum systems display unique dynamics distinct from classical systems.
  • Attractive-repulsive interactions can lead to emergent phenomena.

Purpose of the Study:

  • To investigate the emergent dynamics of quantum self-sustained oscillators with simultaneous attractive-repulsive coupling.
  • To analyze the symmetry-breaking transitions in such quantum systems.
  • To explore quantum entanglement generation during these transitions.

Main Methods:

  • Construction of a quantum master equation in Lindblad form for quantum Stuart-Landau oscillators.
  • Analysis of the system's behavior under attractive-repulsive coupling.
  • Comparison with a noisy classical model in the weak quantum regime.

Main Results:

  • Discovery of a novel symmetry-breaking transition from quantum limit cycle oscillation to a quantum inhomogeneous steady state.
  • Observation of a transition contrary to previously known symmetry-breaking pathways.
  • Generation of quantum entanglement associated with the symmetry-breaking transition, with no classical analog.

Conclusions:

  • The study reveals a new type of symmetry-breaking transition in quantum coupled oscillators.
  • The findings highlight the unique role of quantum mechanics in collective behaviors.
  • This research deepens the understanding of emergent phenomena in quantum systems.