Quantum dynamical field theory for non-equilibrium phase transitions in driven open systems

Abstract

We develop a quantum dynamical field theory for studying phase transitions in driven open systems coupled to Markovian noise, where non-linear noise effects and fluctuations beyond semiclassical approximations influence the critical behaviour. We systematically compare the diagrammatics, the properties of the renormalization group flow and the structure of the fixed points, of the novel quantum dynamical field theory and of its semi-classical counterpart, which is employed to characterise dynamical criticality in three dimensional driven-dissipative condensates. As an application, we perform the Keldysh Functional Renormalization of a one dimensional driven open Bose gas, where a tailored diffusion Markov noise realises an analog of quantum criticality for driven-dissipative condensation. We find that the associated non-equilibrium quantum phase transition does not map into the critical behaviour of its three dimensional classical driven counterpart.

28 pages, 11 figures, 2 tables; close to published version; Editors' Suggestion

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Cited by in corpus (47)

• Neural-Network Approach to Dissipative Quantum Many-Body Dynamics
• Exploring dynamical phase transitions with cold atoms in an optical cavity
• Critical dynamical properties of a first-order dissipative phase transition
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Dynamical crossovers in prethermal critical states
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Kinetic theory of non-thermal fixed points in a Bose gas
• Universality in driven open quantum matter
• Orthogonality catastrophe in dissipative quantum many body systems
• Space-time vortex driven crossover and vortex turbulence phase transition in one-dimensional driven open condensates
• Field Theory of Many-Body Lindbladian Dynamics
• Non-equilibrium fixed points of coupled Ising models
• Quantum Criticality in Open Quantum Spin Chains with Nonreciprocity
• Low-energy effective theory of non-thermal fixed points in a multicomponent Bose gas
• Universal Dynamics of Stochastically Driven Quantum Impurities
• Emergent Finite Frequency Criticality of Driven-Dissipative Correlated Lattice Bosons
• Jarzynski Equality for Driven Quantum Field Theories
• Quantum Critical Scaling under Periodic Driving
• Universal equilibrium scaling functions at short times after a quench
• Universal short-time dynamics: boundary functional renormalization group for a temperature quench
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Universality class of Ising critical states with long-range losses
• Fermionic formalism for driven-dissipative multi-level systems
• Critical exponent of quantum phase transitions driven by colored noise
• Critical Theory for the Breakdown of Photon Blockade
• Nonequilibrium Criticality at the Onset of Time-Crystalline Order
• Thermal radiation and dissipative phase transition in a BEC with local loss
• Dilaton-induced open quantum dynamics
• A new method for directly computing reduced density matrices
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Classical critical dynamics in quadratically driven Kerr resonators
• Correlation-induced steady states and limit cycles in driven dissipative quantum systems
• On the nature of the non-equilibrium phase transition in the non-Markovian driven Dicke model
• Variational Quantum Algorithms for Steady States of Open Quantum Systems
• Comments on the adiabatic theorem
• Incoherent quantum algorithm dynamics of an open system with near-term devices
• Density matrix formalism for interacting quantum fields
• Time-dependent current into and through multilevel parallel quantum dots in a photon cavity
• Universal long-time behavior of stochastically driven interacting quantum systems
• Universality of photon counting below a bifurcation threshold
• Nonequilibrium polariton dynamics in a Bose-Einstein condensate coupled to an optical cavity
• Long-Range Order and Quantum Criticality in a Dissipative Spin Chain
• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Radiation statistics of a degenerate parametric oscillator at threshold
• Universality in Non-Equilibrium Quantum Systems
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions