Revealing the nature of non-equilibrium phase transitions with quantum trajectories

Abstract

A damped and driven collective spin system is analyzed by using quantum state diffusion. This approach allows for a mostly analytical treatment of the investigated non-equilibrium quantum many body dynamics, which features a phase transition in the thermodynamical limit. The exact results obtained in this work, which are free of any finite size defects, provide a complete understanding of the model. Moreover, the trajectory framework gives an intuitive picture of the two phases occurring, revealing a spontaneously broken symmetry and allowing for a qualitative and quantitative characterization of the phases. We determine exact critical exponents, investigate finite size scaling, and explain a remarkable non-algebraic behaviour at the transition in terms of torus hopping.

arXiv comment5 pages, 5 figures

References in corpus (21)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Keldysh Field Theory for Driven Open Quantum Systems
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Boundary time crystals
• Entanglement in the Dicke model
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action
• Shattered Time: Can a Dissipative Time Crystal Survive Many-Body Correlations?
• Dissipation driven quantum phase transitions and symmetry breaking
• The Open-System Dicke-Model Quantum Phase Transition with a Sub-Ohmic Bath
• Integrable quantum dynamics of open collective spin models
• Dissipative quantum phase transition of light in a generalized Jaynes-Cummings-Rabi model
• Dissipative Dicke Model with Collective Atomic Decay: Bistability, Noise-Driven Activation and Non-Thermal First Order Superradiance Transition
• Dissipation-driven quantum phase transitions in collective spin systems
• Role of coherence in transport through engineered atomic spin devices

Cited by in corpus (12)

• Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
• Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
• Many-Body Open Quantum Systems
• Critical Theory for the Breakdown of Photon Blockade
• Directional superradiance in a driven ultracold atomic gas in free-space
• Dissipative time crystals originating from parity-time symmetry
• Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle
• Critical steady states of all-to-all squeezed and driven superradiance: An analytic approach
• Exploiting nonequilibrium phase transitions and strong symmetries for continuous measurement of collective observables
• Phase space theory for open quantum systems with local and collective dissipative processes
• Metastability in the Dissipative Quantum Rabi Model
• Parameter estimation with one- and two-time measurements on the emission field of the boundary time crystal