Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Abstract

In bosonic gases at thermal equilibrium, an external quadratic drive can induce a Bose-Einstein condensation described by the Ising transition, as a consequence of the explicitly broken U(1) phase rotation symmetry down to ${\mathbb{Z}}_2$. However, in physical realizations such as exciton-polaritons and nonlinear photonic lattices, thermal equilibrium is lost and the state is rather determined by a balance between losses and external drive. A fundamental question is then how nonequilibrium fluctuations affect this transition. Here, we show that in a two-dimensional driven-dissipative Bose system the Ising phase is suppressed and replaced by a nonequilibrium phase featuring Kardar-Parisi-Zhang (KPZ) physics. Its emergence is rooted in a U(1)-symmetry restoration mechanism enabled by the strong fluctuations in reduced dimensionality. Moreover, we show that the presence of the quadratic drive term enhances the visibility of the KPZ scaling, compared to two-dimensional U(1)-symmetric gases, where it has remained so far elusive.

References in corpus (13)

• Quantum fluids of light
• Quantised Vortices in an Exciton-Polariton Fluid
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Quantum phase transition in a far from equilibrium steady state of XY spin chain
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Polaritonic Feshbach Resonance
• Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
• Universal correlators and distributions as experimental signatures of 2+1 Kardar-Parisi-Zhang growth
• Superfluidity and phase transitions in a resonant Bose gas
• A quantum Langevin model for non-equilibrium condensation
• Long range order in non-equilibrium interacting quantum spin chains
• Nonlinear Bloch-waves and current states of exciton-polariton condensates
• Noise-induced transition from superfluid to vortex state in two-dimensional nonequilibrium polariton condensates

Cited by in corpus (10)

• Universality in driven open quantum matter
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• Superdiffusion from nonabelian symmetries in nearly integrable systems
• Kardar-Parisi-Zhang universality in discrete two-dimensional driven-dissipative exciton polariton condensates
• Kardar-Parisi-Zhang scaling in the Hubbard model
• Phase diagram of one-dimensional driven-dissipative exciton-polariton condensates
• Tunable Spatiotemporal Orders in Driven Insulators
• Kardar-Parisi-Zhang scaling in time-crystalline matter
• From Kardar-Parisi-Zhang scaling to soliton proliferation in Josephson junction arrays
• Topological Unwinding in an Exciton-Polariton Condensate Array