Non-equilibrium Functional Renormalization for Driven-Dissipative Bose-Einstein Condensation

Abstract

We present a comprehensive analysis of critical behavior in the driven-dissipative Bose condensation transition in three spatial dimensions. Starting point is a microscopic description of the system in terms of a many-body quantum master equation, where coherent and driven-dissipative dynamics occur on an equal footing. An equivalent Keldysh real time functional integral reformulation opens up the problem to a practical evaluation using the tools of quantum field theory. In particular, we develop a functional renormalization group approach to quantitatively explore the universality class of this stationary non-equilibrium system. Key results comprise the emergence of an asymptotic thermalization of the distribution function, while manifest non-equilibrium properties are witnessed in the response properties in terms of a new, independent critical exponent. Thus the driven-dissipative microscopic nature is seen to bear observable consequences on the largest length scales. The absence of two symmetries present in closed equilibrium systems - underlying particle number conservation and detailed balance, respectively - is identified as the root of this new non-equilibrium critical behavior. Our results are relevant for broad ranges of open quantum systems on the interface of quantum optics and many-body physics, from exciton-polariton condensates to cold atomic gases.

33 pages, 8 figures

References in corpus (31)

• Exact evolution equation for the effective potential
• Quantum fluids of light
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Cold atoms in cavity-generated dynamical optical potentials
• Quantised Vortices in an Exciton-Polariton Fluid
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Spontaneous rotating vortex lattices in a pumped decaying condensate
• Dynamical Phase Transitions and Instabilities in Open Atomic Many-Body Systems
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Slowing and stopping light using an optomechanical crystal array
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Real-time observation of fluctuations at the driven-dissipative Dicke phase transition
• Nonequilibrium quantum criticality in open electronic systems
• Aging, rejuvenation and memory : the example of spin glasses
• Energy Relaxation in a 1-D Polariton Condensate
• Nonthermal fixed points and the functional renormalization group
• Polariton condensation with localised excitons and propagating photons
• Symmetries of generating functionals of Langevin processes with colored multiplicative noise
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Functional renormalisation group approach to far-from-equilibrium quantum field dynamics
• Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
• Ultracold atoms and the Functional Renormalization Group
• Non-perturbative Approach to Critical Dynamics
• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Universal scaling at non-thermal fixed points of a two-component Bose gas
• Superfluid Stiffness of a Driven Dissipative Condensate with Disorder
• Dynamic universality class of Model C from the functional renormalization group
• Keldysh Green's function approach to coherence in a non-equilibrium steady state: connecting Bose-Einstein condensation and lasing

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• Review: Quantum Metrology and Sensing with Many-Body Systems
• Critical behavior of dissipative two-dimensional spin lattices
• Perturbative Field-Theoretical Renormalization Group Approach to Driven-Dissipative Bose-Einstein Criticality
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Robust platform for engineering pure-quantum-state transitions in polariton condensates
• Universality in driven open quantum matter
• Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids
• Mean-field validity in a dissipative critical system: Liouvillian gap, $\mathbb{PT}$-symmetric antigap, and permutational symmetry in the $XYZ$ model
• Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems
• Finite temperature spectral functions in the O(N)-model
• Scaling properties of one-dimensional driven-dissipative condensates
• Adiabatic approximation and fluctuations in exciton-polariton condensates
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• The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
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• From quantum to classical dynamics: The relativistic $O(N)$ model in the framework of the real-time functional renormalization group
• Absorbing phase transition with a continuously varying exponent in a quantum contact process: a neural network approach
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• Quantum features of entropy production in driven-dissipative transitions
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• Review of recent developments of the functional renormalization group for systems out of equilibrium
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