Few-mode geometric description of a driven-dissipative phase transition in an open quantum system

Abstract

By example of the nonlinear Kerr-mode driven by a laser, we show that hysteresis phenomena in systems featuring a driven-dissipative phase transition (DPT) can be accurately described in terms of just two collective, dissipative Liouvillian eigenmodes. The key quantities are just two components of a nonabelian geometric connection, even though a single parameter is driven. This powerful geometric approach considerably simplifies the description of driven-dissipative phase transitions, extending the range of computationally accessible parameter regimes, and providing a new starting point for both experimental studies and analytical insights.

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Cited by in corpus (15)

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• Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
• Driven-dissipative time crystalline phases in a two-mode bosonic system with Kerr nonlinearity
• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops
• Dynamical hysteresis properties of the driven-dissipative Bose-Hubbard model with a Gutzwiller Monte Carlo approach
• How quantum evolution with memory is generated in a time-local way
• Multicritical dissipative phase transitions in the anisotropic open quantum Rabi model
• Critical phenomena and nonlinear dynamics in a spin ensemble strongly coupled to a cavity. I. Semiclassical approach
• Arnoldi-Lindblad time evolution: Faster-than-the-clock algorithm for the spectrum of time-independent and Floquet open quantum systems
• The connection between time-local and time-nonlocal perturbation expansions
• A trapped ion in an optical cavity: numerical study of an optomechanical transition in the few-photon regime
• Dynamic Hysteresis Across a Dissipative Multi-Mode Phase Transition
• Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the $A^2$ Term