Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate
arXiv:cond-mat/0307200 · doi:10.1103/PhysRevD.69.064021
Abstract
We demonstrate that the ambiguity of the particle content for quantum fields in a generally curved space-time can be experimentally investigated in an ultracold gas of atoms forming a Bose-Einstein condensate. We explicitly evaluate the response of a suitable condensed matter detector, an ``Atomic Quantum Dot,'' which can be tuned to measure time intervals associated to different effective acoustic space-times. It is found that the detector response related to laboratory, ``adiabatic,'' and de Sitter time intervals is finite in time and nonstationary, vanishing, and thermal, respectively.
arXiv comment9 pages, 2 figures; references updated, as published in Physical Review D
References in corpus (18)
- Realization of Bose-Einstein condensates in lower dimensions
- Collective excitations of a trapped Bose-condensed gas
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Evolution of a Bose-condensed gas under variations of the confining potential
- Analog gravity from Bose-Einstein condensates
- Breathing Modes and Hidden Symmetry of Trapped Atoms in 2D
- Gravity wave analogs of black holes
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- The transverse breathing mode of an elongated Bose-Einstein condensate
- "Cosmological" quasiparticle production in harmonically trapped superfluid gases
- Sound propagation in a cylindrical Bose-condensed gas
- On Slow Light as a Black Hole Analogue
- Riemannian geometry of irrotational vortex acoustics
- Cosmic Dynamics of Bose-Einstein Condensates
- On the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry
Cited by in corpus (44)
- Analogue Gravity
- Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
- Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
- Cosmological quantum entanglement
- Synthetic Unruh effect in cold atoms
- Causal structure of acoustic spacetimes
- Cosmological particle production in emergent rainbow spacetimes
- Vortex geometry for the equatorial slice of the Kerr black hole
- Analogue Cosmological Particle Creation: Quantum Correlations in Expanding Bose Einstein Condensates
- Unruh and analogue Unruh temperatures for circular motion in 3+1 and 2+1 dimensions
- Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
- Conditions for one-dimensional supersonic flow of quantum gases
- Trans-Planckian physics and signature change events in Bose gas hydrodynamics
- Unruh effect for interacting particles with ultracold atoms
- Simulating quantum effects of cosmological expansion using a static ion trap
- Heuristic approach to the Schwarzschild geometry
- On the existence of steady-state black hole analogues in finite quasi-one-dimensional Bose-Einstein condensates
- Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
- Quasiparticle universes in Bose-Einstein condensates
- The fate of phonons in freely expanding Bose-Einstein condensates
- Analogue Hawking radiation in an exactly solvable model of BEC
- Different models of gravitating Dirac fermions in optical lattices
- Formation of a sonic horizon in isotropically expanding Bose-Einstein condensates
- Zero-point excitation of a circularly moving detector in an atomic condensate and phonon laser dynamical instabilities
- Spacetime analogue of Bose-Einstein condensates: Bogoliubov-de Gennes formulation
- Emergent Horizons in the Laboratory
- Direct Characteristic-Function Tomography of the Quantum States of Quantum Fields
- Quantum simulation of Unruh-DeWitt detectors with nonlinear optics
- Collective dynamics of accelerated atoms
- Thermality from a Rindler quench
- Using nanokelvin quantum thermometry to detect timelike Unruh effect in a Bose-Einstein condensate
- Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
- Dissipative parametric resonance in a modulated 1D Bose gas
- Quantum thermal machines in BTZ black hole spacetime
- Quantum simulation of particle creation in curved space-time
- Quantum simulation of discrete curved spacetime by the Bose-Hubbard model: from analog acoustic black hole to quantum phase transition
- Analog Unruh effect of inhomogeneous one-dimensional Dirac fermions
- Nondestructive optomechanical detection scheme for Bose-Einstein condensates
- Detecting the Unruh Effect via an Engineered Low-Mass Field in a Superconducting Qubit
- Quantum noise in time-dependent media and cosmic expansion
- Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
- Wigner function method for the Gibbons-Hawking and the Unruh effect
- Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
- Analogue gravitational phenomena in Bose-Einstein condensates