Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity

Abstract

For the driven-dissipative system of two coupled bosonic modes in a nonlinear cavity resonator, we demonstrate a sequence of phase transitions from a trivial steady state to two distinct dissipative time crystalline phases. These effects are already anticipated at the level of the semiclassical analysis of the Lindblad equation using the theory of bifurcations and are further supported by the full quantum (numerical) treatment. The system is predicted to exhibit different dynamical phases characterized by an oscillating non-equilibrium steady state with non-trivial periodicity, which is a hallmark of time crystals. We expect that these phases can be directly probed in various cavity QED experiments.

6+6 pages, 3+2 figures

References in corpus (4)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
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• Theory of parametric resonance for discrete time crystals in fully-connected spin-cavity systems
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• Adiabatic Transformations in Dissipative and Non-Hermitian Phase Transitions
• Exact steady state of quantum van der Pol oscillator: critical phenomena and enhanced metrology
• Conformal symmetry in quasi-free Markovian open quantum systems
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems