Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice

Abstract

We investigate the occurrence of a phase transition, characterized by the spontaneous breaking of a discrete symmetry, in a driven-dissipative Bose-Hubbard lattice in presence of two-photon coherent driving. The driving term does not lift the original $U(1)$ symmetry completely and a discrete ${\mathbb{Z}}_2$ symmetry is left. When driving the bottom of the Bose-Hubbard band, a mean-field analysis of the steady state reveals a second-order transition from a symmetric phase to a quasi-coherent state with a finite expectation value of the Bose field. For larger driving frequency, the phase diagram shows a third region, where both phases are stable and the transition becomes of first order.

7 pages, 3 figures, version accepted for publication

References in corpus (15)

• Quantum fluids of light
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
• Dissipative Phase Transition in Central Spin Systems
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Critical dynamical properties of a first-order dissipative phase transition
• Observation of the photon-blockade breakdown phase transition
• On the phase transition of light in cavity QED lattices
• Slow reflection and two-photon generation of microcavity exciton-polaritons
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Phase diagram of incoherently driven strongly correlated photonic lattices
• Homodyne versus photon-counting quantum trajectories for dissipative Kerr resonators with two-photon driving
• Two coupled nonlinear cavities in a driven-dissipative environment

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