Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
arXiv:2407.21390 · doi:10.1103/PhysRevA.110.063314
Abstract
Quantum fluctuations are inherent in open quantum systems and they affect not only the statistical properties of the initial state but also the time evolution of the system. Using a generic minimal model, we show that quantum noise smoothens the transition between a stationary and a dynamical phase corresponding to a limit cycle (LC) in the semiclassical mean-field approximation of a generic open quantum system. Employing truncated Wigner approximation, we show that the inherent quantum noise pushes the system to exhibit signatures of LCs for interaction strengths lower than the critical value predicted by the standard mean-field theory, suggesting a noise-induced emergence of temporal ordering. Our work demonstrates that the apparent crossover-like behavior between stationary phases brought by finite-size effects from quantum fluctuations also apply to transitions involving dynamical phases. To demonstrate this on a specific physical system, we consider a transversely pumped atom-cavity setup, wherein LCs have been observed and identified as continuous time crystals. We compare the oscillation frequencies of the LCs in the one-dimensional (1D) and two-dimensional regimes, and find that the frequencies have larger shot-to-shot fluctuations in 1D. This has an important consequence in the effectiveness of entrainment of LCs for a periodically driven pump intensity or light-matter coupling strength.
13 pages, 12 figures
References in corpus (22)
- Quantum fluids of light
- Cold atoms in cavity-generated dynamical optical potentials
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Dynamical phase transition in the open Dicke model
- Observation of a continuous time crystal
- Self-organization of a Bose-Einstein condensate in an optical cavity
- Emergent limit cycles and time crystal dynamics in an atom-cavity system
- Atom-only descriptions of the driven-dissipative Dicke model
- Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
- Measurement Induced Continuous Time Crystals
- Continuous time crystal in an electron-nuclear spin system: stability and melting of periodic auto-oscillations
- Solid-state continuous time crystal with a built-in clock
- Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
- Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
- Self-organized Limit Cycles in Red-detuned Atom-cavity Systems
- Realizing limit cycles in dissipative bosonic systems
- Nonequilibrium transition between dissipative time crystals
- Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
- Time Crystal in a Single-mode Nonlinear Cavity
- Observation of a phase transition from a continuous to a discrete time crystal
- Dissipative Dicke time crystals: an atoms' point of view
- Oscillating-mode gap: an indicator of phase transition in open quantum many-body systems