Black-hole radiation in Bose-Einstein condensates

Abstract

We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogous to that of a black hole. We focus on elongated one dimensional condensates and on stationary flows. Our theoretical analysis and numerical results are based on the Bogoliubov-de Gennes equation without further approximation. The spectral properties of the fluxes and of the long distance density-density correlations are obtained, both with and without an initial temperature. In realistic conditions, we show that the condensate temperature dominates the fluxes and thus hides the presence of the spontaneous emission (the Hawking effect). We also explain why the temperature amplifies the long distance correlations which are intrinsic to this effect. This confirms that the correlation pattern offers a neat signature of the Hawking effect. Optimal conditions for observing the pattern are discussed, as well as correlation patterns associated with scattering of classical waves. Flows associated with white holes are also considered.

revTeX 4, 55 pages single-column, 19 figures; v2: figure and refs added, typos corrected; v3: twocolumn, refs added/updated, new results, presentation clarified; v4: usefulness of white holes emphasized

References in corpus (16)

• A Primer for Black Hole Quantum Physics
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
• "Cosmological" quasiparticle production in harmonically trapped superfluid gases
• Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
• Black/White hole radiation from dispersive theories
• Cosmological particle production in emergent rainbow spacetimes
• The Quantum de Laval Nozzle: stability and quantum dynamics of sonic horizons in a toroidally trapped Bose gas containing a superflow
• Stability analysis of sonic horizons in Bose-Einstein condensates
• Decoherence and entropy of primordial fluctuations. I: Formalism and interpretation
• Decoherence and entropy of primordial fluctuations II. The entropy budget
• Black hole entanglement entropy regularized in a freely falling frame
• Limits to the analogue Hawking temperature in a Bose-Einstein condensate
• Phonon background versus analogue Hawking radiation in Bose-Einstein condensates
• The depletion in Bose Einstein condensates using Quantum Field Theory in curved space

Cited by in corpus (149)

• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
• Realization of a sonic black hole analogue in a Bose-Einstein condensate
• Observation of noise correlated by the Hawking effect in a water tank
• A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
• Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
• Hawking Radiation and Deflection of Light from Rindler Modified Schwarzschild Black Hole
• Minimal conditions for the existence of a Hawking-like flux
• Hawking-like radiation from evolving black holes and compact horizonless objects
• Relativistic Bose-Einstein Condensates: a new system for analogue models of gravity
• Quantum fluctuations around black hole horizons in Bose-Einstein condensates
• The theory of Hawking radiation in laboratory analogues
• Analog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
• Black hole radiation with short distance dispersion, an analytical S-matrix approach
• Black hole lasers in Bose-Einstein condensates
• Measuring the entanglement of analogue Hawking radiation by the density-density correlation function
• Black hole lasers, a mode analysis
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
• Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
• Departing from thermality of analogue Hawking radiation in a Bose-Einstein condensate
• Dielectric black holes induced by a refractive index perturbation and the Hawking effect
• Quantum signature of analog Hawking radiation in momentum space
• Entangled phonons in atomic Bose-Einstein condensates
• Acoustic white holes in flowing atomic Bose-Einstein condensates
• Black Holes and Wormholes in spinor polariton condensates
• Spectrum and entanglement of phonons in quantum fluids of light
• Resonant Hawking radiation in Bose-Einstein condensates
• Hawking radiation in dispersive theories, the two regimes
• Spectral properties of acoustic black hole radiation: Broadening the horizon
• Cosmological Constant: A Lesson from Bose-Einstein Condensates
• Quantum vacuum emission in a nonlinear optical medium illuminated by a strong laser pulse
• Phonon spectrum and correlations in a transonic flow of an atomic Bose gas
• Derivation of Hawking radiation in dispersive dielectric media
• Undulations from amplified low frequency surface waves
• Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures
• Generation of dispersive shock waves by the flow of a Bose-Einstein condensate past a narrow obstacle
• Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: dispersion effects
• Mechanism of stimulated Hawking radiation in a laboratory Bose-Einstein condensate
• Unruh effect for interacting particles with ultracold atoms
• Non-linear effects in time-dependent transonic flows: An analysis of analogue black hole stability
• The imprint of the analogue Hawking effect in subcritical flows
• On Quantum Correlations across the Black Hole Horizon
• The phonon dispersion relation of a Bose-Einstein condensate
• Hawking radiation of massive modes and undulations
• Saturation of black hole lasers in Bose-Einstein condensates
• Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
• Low frequency analogue Hawking radiation: The Bogoliubov-de Gennes model
• On the existence of steady-state black hole analogues in finite quasi-one-dimensional Bose-Einstein condensates
• The entropy of an acoustic black hole in Bose-Einstein condensates
• Questioning the recent observation of quantum Hawking radiation
• Nonlocal interactions in a BEC: an Analogue Gravity perspective
• On the robustness of acoustic black hole spectra
• Self-amplifying Hawking radiation and its background: a numerical study
• From vacuum fluctuations across an event horizon to long distance correlations
• Hawking radiation correlations in Bose Einstein condensates using quantum field theory in curved space
• Impact of trans-Planckian excitations on black-hole radiation in dipolar condensates
• Black holes and Hawking radiation in spacetime and its analogues
• Entanglement and violation of classical inequalities in the Hawking radiation of flowing atom condensates
• Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates
• Hawking radiation and the boomerang behaviour of massive modes near a horizon
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• Low frequency analogue Hawking radiation: The Korteweg-de Vries model
• Dynamical Casimir Effect in dissipative media: When is the final state non-separable ?
• Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates
• Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
• The Cerenkov effect revisited: from swimming ducks to zero modes in gravitational analogs
• Regularization of fluctuations near the sonic horizon due to the quantum potential and its influence on the Hawking radiation
• Analogue Hawking radiation in an exactly solvable model of BEC
• Scattering of gravity waves in subcritical flows over an obstacle
• Step-like discontinuities in Bose-Einstein condensates and Hawking radiation: the hydrodynamic limit
• Gray-body factor and infrared divergences in 1D BEC acoustic black holes
• Hawking Radiation on an Ion Ring in the Quantum Regime
• Zero-point excitation of a circularly moving detector in an atomic condensate and phonon laser dynamical instabilities
• Nonlocality and fluctuations near the optical analog of a sonic horizon
• Analog of cosmological particle creation in electromagnetic waveguides
• The two faces of quantum sound
• Instability of the superfluid flow as black-hole lasing effect
• Dispersive fields in de Sitter space and event horizon thermodynamics
• Quantum correlations across the horizon in acoustic and gravitational Black Holes
• The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
• Violation of Bell inequalities in an analogue black hole
• Birth of a quasi-stationary black hole in an outcoupled Bose-Einstein condensate
• Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light
• Scattering coefficients and gray-body factor for 1D BEC acoustic black holes: exact results
• Particle Production in the Interiors of Acoustic Black Holes
• Quantum Brownian motion in an analog Friedmann-Robertson-Walker geometry
• Tunneling method for Hawking quanta in analogue gravity
• Kinematic study of the effect of dispersion in quantum vacuum emission from strong laser pulses
• Acoustic superradiance from an optical-superradiance-induced vortex in a Bose-Einstein condensate
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Slow Sound in a duct, effective transonic flows and analogue black holes
• Black-hole lasing in coherently coupled two-component atomic condensates
• Hawking temperature and phonon emission in acoustic holes
• No hair theorems for analogue black holes
• Analogue Hawking Effect: BEC and Surface Waves
• Confirmation of stimulated Hawking radiation, but not of black hole lasing
• Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
• Particle creation in Bose--Einstein condensates: Theoretical formulation based on conserving gapless mean field theory
• Analogue gravitational field from nonlinear fluid dynamics
• Suppression of infrared instability in trans-sonic flows by condensation of zero-frequency short wave length phonons
• Analogue Hawking Effect: a master equation
• Hawking radiation in a two-component Bose-Einstein condensate
• Understanding Hawking radiation from simple models of atomic Bose-Einstein condensates
• Quantum nonlinear effects in the number-conserving analogue gravity of Bose-Einstein condensates
• Amplifying the Hawking signal in BECs
• Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates
• An exact solution for the Hawking effect in a dispersive fluid
• Black-hole lasing in Bose-Einstein condensates: analysis of the role of the dynamical instabilities in a nonstationary setup
• Acoustic analogue of Hawking radiation in quantized circular superflows of Bose-Einstein condensates
• Instabilities in an optical black-hole laser
• Non-linear stationary solutions in realistic models for analog black-hole lasers
• Dispersive censor of acoustic spacetimes with a shock-wave singularity
• Quantum quenches, sonic horizons and the Hawking radiation in a class of exactly solvable models
• Acoustic Superradiance from a Bose-Einstein Condensate Vortex with a Self-Consistent Background Density Profile
• Quantum Potential induced UV-IR coupling in Analogue Hawking radiation: From Bose-Einstein Condensates to canonical acoustic black holes
• Dynamics of an Acoustic Black Hole as an Open Quantum System
• Correlation patterns from massive phonons in 1+1 dimensional acoustic black holes: A toy model
• Bosons falling into a black hole: A superfluid analogue
• Analogue Stochastic Gravity in Strongly-Interacting Bose-Einstein Condensates
• Hawking radiation from acoustic black holes in hydrodynamic flow of electrons
• Logarithmic catastrophes and Stokes's phenomenon in waves at horizons
• Hawking radiation on the lattice from Floquet and local Hamiltonian quench dynamics
• Formation dynamics of black- and white-hole horizons in an analogue gravity model
• Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates
• Spontaneous quantum superradiant emission in atomic Bose-Einstein condensates subject to a synthetic vector potential
• Vortices without inflow: bound spectra in horizonless rotational analogs
• Four-wave mixing and enhanced analogue Hawking effect in a nonlinear optical waveguide
• Finite width of the sonic event horizon and grey body Hawking radiation
• Smarr Mass formulas for BPS multicenter Black Holes
• Inherent nonlinearity of fluid motion and acoustic gravitational wave memory
• From Entropy to Echoes: Counting the quasi-normal modes and the quantum limit of silence
• Quantum transport in the black-hole configuration of an atom condensate outcoupled through an optical lattice
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• The fine structure of the peaks of the correlation function in acoustic black holes: a complete analytical model
• Wigner function method for the Gibbons-Hawking and the Unruh effect
• Analog cosmology with spinor BECs
• Effects of the Quantum Potential on lower dimensional models of analogue gravity
• Parametric pair production of collective excitations in a Bose-Einstein condensate
• Some considerations on BEC analogue black holes
• Superluminal modes in a quantum field simulator for cosmology from analog trans-Planckian physics
• Acoustic horizons and the Hawking effect in polariton fluids of light
• Backreaction equations for 1+1 dimensional BEC sonic black holes
• Toy models of black hole, white hole and wormhole: thermal effects and information loss problem
• Time Crystal from Self-Amplification of Spontaneous Analog Hawking Radiation
• Acoustic black holes in BECs with an extended sonic region
• Self-Similar acoustic white hole solutions in Bose-Einstein condensates and their Borel analysis
• Analogue gravitational phenomena in Bose-Einstein condensates
• Looking for traces of Hawking radiation in correlation functions of BEC acoustic black holes