Analogue gravitational field from nonlinear fluid dynamics
arXiv:2110.11083 · doi:10.1088/1361-6382/ac4828
Abstract
The dynamics of sound in a fluid is intrinsically nonlinear. We derive the consequences of this fact for the analogue gravitational field experienced by sound waves, by first describing generally how the nonlinearity of the equation for phase fluctuations back-reacts onto the definition of the background providing the effective space-time metric. Subsequently, we use the the analytical tool of Riemann invariants in one-dimensional motion to derive source terms of the effective gravitational field stemming from nonlinearity. Finally, we show that the consequences of nonlinearity we derive can be observed with Bose-Einstein condensates in the ultracold gas laboratory.
arXiv comment13 pages, 2 figures
References in corpus (52)
- Analogue Gravity
- Bose-Einstein condensation of atoms in a uniform potential
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- Topological vortex formation in a Bose-Einstein condensate
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
- Analog gravity from Bose-Einstein condensates
- Gravity wave analogs of black holes
- Observation of superradiance in a vortex flow
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Three-body decay of a rubidium Bose-Einstein condensate
- Black-hole radiation in Bose-Einstein condensates
- An acoustic black hole in a stationary hydrodynamic flow of microcavity polaritons
- Observation of noise correlated by the Hawking effect in a water tank
- Black hole lasers
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- `Superresonance' from a rotating acoustic black hole
- Analog gravity from field theory normal modes?
- Formation of shock waves in a Bose-Einstein condensate
- Acoustic Energy and Momentum in a Moving Medium
- Interferometric Unruh detectors for Bose-Einstein condensates
- Quasinormal mode oscillations in an analogue black hole experiment
- Analogue cosmological particle creation in an ultracold quantum fluid of light
- Analog Hawking radiation from an acoustic black hole in a flowing polariton superfluid
- Detection of acceleration radiation in a Bose-Einstein condensate
- Acoustic black holes in a two-dimensional "photon-fluid"
- Black hole lasers in Bose-Einstein condensates
- Cosmological particle production in emergent rainbow spacetimes
- Probing the scale invariance of the inflationary power spectrum in expanding quasi-two-dimensional dipolar condensates
- Observation of shock waves in a large Bose-Einstein condensate
- Spectrum and entanglement of phonons in quantum fluids of light
- Scattering of co-current surface waves on an analogue black hole
- Quantum backreaction in dilute Bose-Einstein condensates
- Quantitative Analysis of Shock Wave Dynamics in a Fluid of Light
- Unruh effect for interacting particles with ultracold atoms
- Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
- Geometric scalar theory of gravity
- Superradiant scattering in fluids of light
- Roton entanglement in quenched dipolar Bose-Einstein condensates
- The information loss problem: an analogue gravity perspective
- Analogue simulation of gravitational waves in a 3+1 dimensional Bose-Einstein condensate
- Beyond Analog Gravity: The Case of Exceptional Dynamics
- Higher-order effective interactions for bosons near a two-body zero crossing
- Hidden geometries in nonlinear theories: a novel aspect of analogue gravity
- Probing low-energy Lorentz violation from high-energy modified dispersion in dipolar Bose-Einstein condensates
- Phonon redshift and Hubble friction in an expanding BEC
- Acoustic Analogue of Gravitational Wave
- Inherent nonlinearity of fluid motion and acoustic gravitational wave memory