Hawking Radiation on an Ion Ring in the Quantum Regime
arXiv:1008.3494 · doi:10.1088/1367-2630/13/4/045008 10.1088/1367-2630/13/6/069601
Abstract
This paper discusses a recent proposal for the simulation of acoustic black holes with ions. The ions are rotating on a ring with an inhomogeneous, but stationary velocity profile. Phonons cannot leave a region, in which the ion velocity exceeds the group velocity of the phonons, as light cannot escape from a black hole. The system is described by a discrete field theory with a nonlinear dispersion relation. Hawking radiation is emitted by this acoustic black hole, generating entanglement between the inside and the outside of the black hole. We study schemes to detect the Hawking effect in this setup.
42 pages (one column), 17 figures, published revised version
References in corpus (41)
- A computable measure of entanglement
- Concentrating Partial Entanglement by Local Operations
- Analogue Gravity
- Fiber-optical analogue of the event horizon
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Measurement of stimulated Hawking emission in an analogue system
- Hawking radiation from ultrashort laser pulse filaments
- Realization of a sonic black hole analogue in a Bose-Einstein condensate
- Sonic black holes in dilute Bose-Einstein condensates
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- 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?
- Hawking Radiation Without Transplanckian Frequencies
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- Black-hole radiation in Bose-Einstein condensates
- On the Universality of the Hawking Effect
- Gaussian Entanglement of Formation
- Black hole lasers
- Hawking radiation in an electro-magnetic wave-guide?
- Realisation of a programmable two-qubit quantum processor
- Event horizons and ergoregions in 3He
- Hawking Radiation from an Acoustic Black Hole on an Ion Ring
- Hawking radiation in sonic black holes
- Mesoscopic Spin-Boson Models of Trapped Ions
- Black/White hole radiation from dispersive theories
- On Slow Light as a Black Hole Analogue
- Mode-Wise Entanglement of Gaussian States
- Detection of vacuum entanglement in a linear ion trap
- Density correlations and dynamical Casimir emission of Bogoliubov phonons in modulated atomic Bose-Einstein condensates
- Origin of the Thermal Radiation in a Solid-State Analog of a Black-Hole
- On the origin of the particles in black hole evaporation
- Backreaction in Acoustic Black Holes
- Lattice Black Holes
- Generalization of the model of Hawking radiation with modified high frequency dispersion relation
- Hawking radiation on a falling lattice
- Quantum effects in Acoustic Black Holes: the Backreaction
- Black hole radiation with high frequency dispersion
- On Quantum Correlations across the Black Hole Horizon
Cited by in corpus (15)
- Entangled phonons in atomic Bose-Einstein condensates
- Spectrum and entanglement of phonons in quantum fluids of light
- Derivation of Hawking radiation in dispersive dielectric media
- Violation of Cauchy-Schwarz inequalities by spontaneous Hawking radiation in resonant boson structures
- On the robustness of entanglement in analogue gravity systems
- Hawking radiation and the boomerang behaviour of massive modes near a horizon
- Dynamical Casimir Effect in dissipative media: When is the final state non-separable ?
- Coherent Control of the Rotational Degree of Freedom of a Two-Ion Coulomb Crystal
- Topological Phenomena in Trapped Ion Systems
- Violation of Bell inequalities in an analogue black hole
- Decoherence and Loss of Entanglement in Acoustic Black Holes
- Dynamics of an Acoustic Black Hole as an Open Quantum System
- "Charged" phonons in an external field: a QED analog with Bose-Einstein condensates
- Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
- Relativistic meson spectra on ion-trap quantum simulators