Spontaneous Beliaev-Landau scattering out of equilibrium

Abstract

We investigate Beliaev-Landau scattering in a gas of interacting photons in a coherently driven array of nonlinear dissipative resonators, as described by the 1D driven-dissipative Bose-Hubbard model. Due to the absence of detailed balance in such an out-of-equilibrium setup, steady-state properties can be much more sensitive to the underlying microscopic dynamics. As the popular truncated Wigner approximation dramatically fails in capturing this physics, we present an alternative approach, based on a systematic expansion beyond the Bogoliubov approximation, which includes the third-order correlation functions in the dynamics. As experimentally accessible signatures of Beliaev-Landau processes, we report a small but nonnegligible correction to the Bogoliubov prediction for the steady-state momentum distribution showing a characteristic series of peaks and dips, as well as non-Gaussian features in the statistics of the cavity output field.

References in corpus (45)

• Quantum fluids of light
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Phase space representation of quantum dynamics
• Keldysh Field Theory for Driven Open Quantum Systems
• Theory of the Weakly Interacting Bose Gas
• The iTEBD algorithm beyond unitary evolution
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Stochastic properties of systems controlled by autocatalytic reactions II
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Quantum simulations and many-body physics with light
• Probing a dissipative phase transition via dynamical optical hysteresis
• Quantum Simulation with Interacting Photons
• Variational Matrix Product Operators for the Steady State of Dissipative Quantum Systems
• Variational principle for steady states of dissipative quantum many-body systems
• Damping in dilute Bose gases: a mean-field approach
• Landau damping in dilute Bose gases
• Emergent equilibrium in many-body optical bistability
• A Matrix-Product-Operator Approach to the Nonequilibrium Steady State of Driven-Dissipative Quantum Arrays
• Stochastic classical field model for polariton condensates
• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
• Corner space renormalization method for driven-dissipative 2D correlated systems
• Spontaneous microcavity-polariton coherence across the parametric threshold: Quantum Monte Carlo studies
• A microscopic quantum dynamics approach to the dilute condensed Bose gas
• Analog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
• Beliaev damping of quasi-particles in a Bose-Einstein condensate
• The experimental observation of Beliaev damping in a Bose condensed gas
• Backreaction in Acoustic Black Holes
• Spectrum and entanglement of phonons in quantum fluids of light
• Scaling properties of one-dimensional driven-dissipative condensates
• Self-Consistent Projection Operator Theory for Quantum Many-Body Systems
• Simulation of Quantum Spin Dynamics by Phase Space Sampling of BBGKY Trajectories
• The spatial coherence of weakly interacting one-dimensional non-equilibrium Bosonic quantum fluids
• Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping
• Damping of Bogoliubov Excitations in Optical Lattices
• Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
• Dymamical Casimir emission from polariton condensates
• Decay of Bogoliubov excitations in one-dimensional Bose gases
• Truncated correlation hierarchy schemes for driven-dissipative multimode quantum systems
• Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light
• Damping of Condensate Oscillation of a Trapped Bose Gas in a One-Dimensional Optical Lattice at Finite Temperatures
• Photonic tuning of quasi-particle decay in a superfluid
• Landau-Khalatnikov phonon damping in strongly interacting Fermi gases
• Correlator expansion approach to stationary states of weakly coupled cavity arrays

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• Beliaev Damping in Spin-$\frac{1}{2}$ Interacting Bosons with Spin-Orbit Coupling
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• Long time universality of black-hole lasers
• Nonequilibrium polariton dynamics in a Bose-Einstein condensate coupled to an optical cavity
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• Gaussian trajectory description of fragmentation in an isolated spinor condensate
• Engineering Gaussian states of light from a planar microcavity
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