Electrodynamic duality and vortex unbinding in driven-dissipative condensates

Abstract

We investigate the superfluid properties of two-dimensional driven Bose liquids, such as polariton condensates, using their long-wavelength description in terms of a compact Kardar-Parisi-Zhang (KPZ) equation for the phase dynamics. We account for topological defects (vortices) in the phase field through a duality mapping between the compact KPZ equation and a theory of non-linear electrodynamics coupled to charges. Using the dual theory we derive renormalization group equations that describe vortex unbinding in these media. When the non-equilibirum drive is turned off, the KPZ non-linearity λ vanishes and the RG flow gives the usual Kosterlitz-Thouless (KT) transition. On the other hand, with non-linearity λ > 0 vortices always unbind, even if the same system with λ = 0 is superfluid. We predict the finite size scaling behavior of the superfluid stiffness in the crossover governed by vortex unbinding showing its clear distinction from the scaling associated with the KT transition.

arXiv comment23 pages, 4 figures. revised version

References in corpus (65)

• Quantum fluids of light
• The World of the Complex Ginzburg-Landau Equation
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Cold atoms in cavity-generated dynamical optical potentials
• Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
• Quantised Vortices in an Exciton-Polariton Fluid
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Quantum-fluid dynamics of microcavity polaritons
• Keldysh Field Theory for Driven Open Quantum Systems
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Polariton superfluids reveal quantum hydrodynamic solitons
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Persistent currents and quantised vortices in a polariton superfluid
• Stochastic properties of systems controlled by autocatalytic reactions II
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Non-equilibrium quantum condensation in an incoherently pumped dissipative system
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Two-Loop Renormalization Group Analysis of the Burgers-Kardar-Parisi-Zhang Equation
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Non-perturbative renormalization group for the Kardar-Parisi-Zhang equation
• Spatial Coherence of a Polariton Condensate
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Creation of orbital angular momentum states with chiral polaritonic lenses
• Fermionic Superradiance in a Transversely Pumped Optical Cavity
• Critical Exponents of the KPZ Equation via Multi-Surface Coding Numerical Simulations
• Driven Markovian Quantum Criticality
• Umklapp Superradiance from a Collisionless Quantum Degenerate Fermi Gas
• Temporal Order in Dirty Driven Periodic Media
• Soliton Instabilities and Vortex Streets Formation in a Polariton Quantum Fluid
• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
• Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid
• Non-perturbative renormalisation group for the Kardar-Parisi-Zhang equation: general framework and first applications
• Ultracold fermions in a cavity-induced artificial magnetic field
• Scaling Exponents for Kinetic Roughening in Higher Dimensions
• Extremely large scale simulation of a Kardar-Parisi-Zhang model using graphics cards
• Universality in two-dimensional Kardar-Parisi-Zhang growth
• Numerical estimate of the Kardar Parisi Zhang universality class in (2 + 1) dimensions
• Algebraic order and the Berezinskii-Kosterlitz-Thouless transition in an exciton-polariton gas
• Current in open quantum systems
• Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: scaling functions and amplitude ratios in 1+1, 2+1 and 3+1 dimensions
• Absence of Long-Range Coherence in the Parametric Emission from Photonic Wires
• Numerical study of the Kardar-Parisi-Zhang equation
• Adiabatic response for Lindblad dynamics
• Scaling properties of one-dimensional driven-dissipative condensates
• Universal aspects of curved, flat & stationary-state Kardar-Parisi-Zhang statistics
• Temporal coherence of one-dimensional non-equilibrium quantum fluids
• Universality for Moving Stripes: A Hydrodynamic Theory of Polar Active Smectics
• Coherence expansion and polariton condensate formation in a semiconductor microcavity
• Superfluid density of an open dissipative condensate
• From Classical to Quantum Glasses with Ultracold Polar Molecules
• The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
• Stationary State Skewness in Two Dimensional KPZ Type Growth
• Injection of orbital angular momentum and storage of quantized vortices in polariton superfluids
• Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators
• Superfluid Stiffness of a Driven Dissipative Condensate with Disorder
• Lattice duality for the compact Kardar-Parisi-Zhang equation
• Spiral Motion in a Noisy Complex Ginzburg-Landau Equation
• From Kardar-Parisi-Zhang scaling to explosive desynchronization in arrays of limit-cycle oscillators
• Scale Invariant Dynamics of Surface Growth
• Dynamical Transition in Sliding Charge-density Waves with Quenched Disorder
• Nonequilibrium dislocation dynamics and instability of driven vortex lattices in two dimensions
• Stochastic Model in the Kardar-Parisi-Zhang Universality With Minimal Finite Size Effects
• Normal and superfluid fractions of inhomogeneous nonequilibrium quantum fluids
• Superfluidity and Phase Correlations of Driven Dissipative Condensates

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• Topological active matter
• Topological order and equilibrium in a condensate of exciton-polaritons
• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
• Critical fluctuations at a many-body exceptional point
• Universality in driven open quantum matter
• Topological defects in solids with odd elasticity
• Phase-controlled bistability of a dark soliton train in a polariton fluid
• Space-time vortex driven crossover and vortex turbulence phase transition in one-dimensional driven open condensates
• Nonreciprocal Ising model
• Kibble-Zurek mechanism in driven-dissipative systems crossing a non-equilibrium phase transition
• Lattice duality for the compact Kardar-Parisi-Zhang equation
• Tuning across Universalities with a Driven Open Condensate
• Experimental observation of a dissipative phase transition in a multi-mode many-body quantum system
• Chiral active hexatics: Giant number fluctuations, waves and destruction of order
• Coherently driven microcavity-polaritons and the question of superfluidity
• Phase ordering kinetics of a nonequilibrium exciton-polariton condensate
• Universal phenomenology at critical exceptional points of nonequilibrium $O(N)$ models
• Critical exponent of quantum phase transitions driven by colored noise
• From Kardar-Parisi-Zhang scaling to explosive desynchronization in arrays of limit-cycle oscillators
• Dynamical phase transitions in the nonreciprocal Ising model
• Photoluminescence and gain/absorption spectra of a driven-dissipative electron-hole-photon condensate
• Vortices in nonequilibrium photon condensates
• Kardar-Parisi-Zhang universality in discrete two-dimensional driven-dissipative exciton polariton condensates
• Topological Defects in Anisotropic Driven Open Systems
• Noise-induced transition from superfluid to vortex state in two-dimensional nonequilibrium polariton condensates
• Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates
• Spatiotemporal scaling of two-dimensional nonequilibrium exciton-polariton systems with weak interactions
• Classical field model for arrays of photon condensates
• Pseudo-thermalization in driven-dissipative non-Markovian open quantum systems
• Multivortex states and dynamics in nonequilibrium quantum fluids
• Searching for the Kardar-Parisi-Zhang phase in microcavity polaritons
• Vortex dynamics in a compact Kardar-Parisi-Zhang system
• Emergence and stability of spontaneous vortex lattices in exciton-polariton condensates
• Unconventional Berezinskii-Kosterlitz-Thouless Transition in the Multicomponent Polariton System
• Kardar-Parisi-Zhang scaling in time-crystalline matter
• Vortex pair annihilation in arrays of photon cavities
• Phase diagram and universal scaling regimes of two-dimensional exciton-polariton Bose-Einstein condensates
• Miscible-Immiscible Transition and Nonequilibrium Scaling in Two-Component Driven Open Condensate Wires
• From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays
• Noise-induced transition from superfluid to vortex state in two-dimensional nonequilibrium polariton condensates -- semi-analytical treatment
• Vortex unbinding transition in nonequilibrium photon condensates
• Topological Unwinding in an Exciton-Polariton Condensate Array