Cyclic permutation-time symmetric structure with coupled gain-loss microcavities

Abstract

We study the coupled even number of microcavities with the balanced gain and loss between any pair of their neighboring components. The effective non-Hermitian Hamiltonian for such structure has the cyclic permutation-time symmetry with respect to the cavity modes, and this symmetry determines the patterns of the dynamical evolutions of the cavity modes. The systems also have multiple exceptional points for the degeneracy of the existing supermodes, exhibiting the "phase transition" of system dynamics across these exceptional points. We illustrate the quantum dynamical properties of the systems with the evolutions of cavity photon numbers and correlation functions. Moreover, we demonstrate the effects of the quantum noises accompanying the amplification and dissipation of the cavity modes. The reciprocal light transportation predicted with the effective non-Hermitian models for the similar couplers is violated by the unavoidable quantum noises.

The version to be published, 8 pages, 6 figures

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Cited by in corpus (12)

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• Parity-time symmetry in optical microcavity systems
• Dynamical Phonon Laser in Coupled Active-Passive Microresonators
• Quantum noise effects with Kerr nonlinearity enhancement in coupled gain-loss waveguides
• Emergence of PT-symmetry breaking in open quantum systems
• Energy localization enhanced ground-state cooling of mechanical resonator from room temperature in optomechanics using a gain cavity
• Entangling light field with mechanical resonator at high temperature
• Realization and application of parity-time-symmetric oscillators in quantum regime
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Continuous-variable entanglement generated with a hybrid PT-symmetric system
• Rotation sensing in two coupled whispering-gallery-mode resonators with loss and gain
• Partially dark optical molecule via phase control