2020/07/21 by H. Alaeian, Hadiseh Alaeian, G. Giedke +5
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Computer science #Dissipative system #Goldstone #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Mode (computer interface) #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Physics #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.103.013712
published as Phys. Rev. A 103, 013712 (2021)
arxiv created 2020/07/21 · openalex publication_date 2021/01/11 · arxiv updated 2021/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this article, we theoretically investigate the first- and second-order quantum dissipative phase transitions of a three-mode cavity with a Hubbard interaction. In both types, there is a mean-field (MF) limit cycle phase where the local U(1) symmetry and the time-translational symmetry of the Liouvillian superoperator are spontaneously broken. In MF, this spontaneous symmetry breaking manifests itself through the appearance of an unconditionally and fully squeezed state at the cavity output, connected to the well-known Goldstone mode. By employing the Wigner function formalism, hence, properly including the quantum noise, we show that away from the thermodynamic limit and within the quantum regime, fluctuations notably limit the coherence time of the Goldstone mode due to the phase diffusion. Our theoretical predictions suggest that interacting multimode photonic systems are rich, versatile test beds for investigating the crossovers between the mean-field picture and quantum phase transitions, a problem that can be investigated in various platforms including superconducting circuits, semiconductor microcavities, atomic Rydberg polaritons, and cuprite excitons.