Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates

Abstract

Generalizing the one-component case, we demonstrate that the propagation of sound waves in two-component Bose-Einstein condensates can also be described in terms of effective sonic geometries under appropriate conditions. In comparison with the one-component case, the two-component setup offers more flexibility and several advantages. In view of these advantages, we propose an experiment in which the evolution of the inflaton field, and thereby the generation of density quantum fluctuations in the very early stages of our universe during inflation, can be simulated, realizing a {\em quantum simulation via analogue gravity models}.

8 pages of RevTex4, 1 figure; added explanatory material, to appear in Physical Review A

References in corpus (33)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• The dynamics of component separation in a binary mixture of Bose-Einstein condensates
• Reconstructing the Inflaton Potential --- an Overview
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
• Sonic analog of gravitational black holes in Bose-Einstein condensates
• Phase separation of Bose-Einstein condensates
• Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
• Hawking Spectrum and High Frequency Dispersion
• Observation of metastable states in spinor Bose-Einstein condensates
• Sonic black holes in dilute Bose-Einstein condensates
• Three-body recombination of ultra-cold atoms to a weakly bound $s$ level
• Analog gravity from Bose-Einstein condensates
• Three-body recombination at large scattering lengths in an ultracold atomic gas
• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Mode Generating Mechanism in Inflation with Cutoff
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Bose Condensates with 1/r Interatomic Attraction: Electromagnetically Induced ``Gravity''
• Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
• "Cosmological" quasiparticle production in harmonically trapped superfluid gases
• Hawking radiation without black hole entropy
• Superluminal travel requires negative energies
• Superluminal travel requires negative energies
• On the Origin of the Outgoing Black Hole Modes
• On Slow Light as a Black Hole Analogue
• Making, probing and understanding Bose-Einstein condensates
• The Corley-Jacobson dispersion relation and trans-Planckian inflation
• BEC Collapse and Dynamical Squeezing of Vacuum Fluctuations
• Dielectric black hole analogues
• Observer dependence for the phonon content of the sound field living on the effective curved space-time background of a Bose-Einstein condensate
• Refringence, field theory, and normal modes
• Quasiparticle universes in Bose-Einstein condensates
• Warped space-time for phonons moving in a perfect nonrelativistic fluid

Cited by in corpus (120)

• Quantum Simulation
• Analogue Gravity
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
• Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method
• Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
• Crystallography of Hyperbolic Lattices
• Quantum field simulator for dynamics in curved spacetime
• Cosmological quantum entanglement
• Quantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry
• Analogue cosmological particle creation in an ultracold quantum fluid of light
• Cosmological particle production in emergent rainbow spacetimes
• Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
• Dynamical zero-temperature phase transitions and cosmic inflation/deflation
• Analogue simulations of quantum gravity with fluids
• Probing the scale invariance of the inflationary power spectrum in expanding quasi-two-dimensional dipolar condensates
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• Relativistic quantum effects of Dirac particles simulated by ultracold atoms
• Fate of the false vacuum: towards realization with ultra-cold atoms
• Massive Klein--Gordon equation from a BEC-based analogue spacetime
• Early Universe Quantum Processes in BEC Collapse Experiments
• Aspects of Cosmic Inflation in Expanding Bose-Einstein Condensates
• Observation of Massless and Massive Collective Excitations with Faraday Patterns in a Two-Component Superfluid
• Quantum mixtures of ultracold gases of neutral atoms
• Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
• Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model
• Analog cosmological particle generation in a superconducting circuit
• Trans-Planckian physics and signature change events in Bose gas hydrodynamics
• The universe on a table top: engineering quantum decay of a relativistic scalar field from a metastable vacuum
• Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
• Analogue spacetime based on 2-component Bose-Einstein condensates
• Accurate Determination of Hubble Attenuation and Amplification in Expanding and Contracting Cold-Atom Universes
• Analogue model for quantum gravity phenomenology
• Bouncing Unitary Cosmology I: Mini-Superspace General Solution
• Quantum simulations of the early universe
• The fate of the false vacuum: Finite temperature, entropy and topological phase in quantum simulations of the early universe
• Islands in the Lambda-sea: An alternative cosmological model
• Analogue gravity and the Hawking effect: historical perspective and literature review
• Simulating quantum effects of cosmological expansion using a static ion trap
• Analog cosmological reheating in an ultracold Bose gas
• Roton entanglement in quenched dipolar Bose-Einstein condensates
• Scalar quantum fields in cosmologies with 2+1 spacetime dimensions
• Analogue simulation of gravitational waves in a 3+1 dimensional Bose-Einstein condensate
• Modelling Planck-scale Lorentz violation via analogue models
• The Timescales of Quantum Breaking
• Quantum simulations with multiphoton Fock states
• Formation of a sonic horizon in isotropically expanding Bose-Einstein condensates
• Numerical studies of back-reaction effects in an analog model of cosmological pre-heating
• Quantum fluctuations of the friction force induced by the dynamical Casimir emission
• Inflationary Dynamics and Particle Production in a Toroidal Bose-Einstein Condensate
• Analog of cosmological particle creation in electromagnetic waveguides
• Toward the Observation of Entangled Pairs in BEC analogue Expanding Universes
• Quantum fluctuations in trapped time-dependent Bose-Einstein condensates
• Large-N approximation for single- and two-component dilute Bose gases
• Perturbing the vortex: quasinormal and quasibound spectra of rotating acoustic geometries
• Quantum simulation of dark energy candidates
• Spacetime analogue of Bose-Einstein condensates: Bogoliubov-de Gennes formulation
• Emergent Horizons in the Laboratory
• Modulating carrier and sideband coupling strengths in a standing wave gate beam
• Massive phonon modes from a BEC-based analog model
• Mimicking inflation with 2-fluid systems in a strong gradient magnetic field
• Particle creation in the spin modes of a dynamically oscillating two-component Bose-Einstein condensate
• Detection of Gravitational Waves using Parametric Resonance in Bose-Einstein Condensates
• Phonon redshift and Hubble friction in an expanding BEC
• Ion trap analogue of particle creation in black holes and cosmology
• Dynamical quantum phase transitions
• The role of Causality in Tunable Fermi Gas Condensates
• Petrov classification of analogue spacetimes
• Generalized cold-atom simulators for vacuum decay
• Analogous Hawking radiation and quantum entanglement in two-component Bose-Einstein condensates: the gapped excitations
• Critical velocities in two-component superfluid Bose gases
• Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem
• Analogue gravitational field from nonlinear fluid dynamics
• Dynamical Aspects of Analogue Gravity: The Backreaction of Quantum Fluctuations in Dilute Bose-Einstein Condensates
• On Quantum Simulation Of Cosmic Inflation
• Experimental particle production in time-dependent spacetimes: a one-dimensional scattering problem
• Quantum nonlinear effects in the number-conserving analogue gravity of Bose-Einstein condensates
• Analog spacetimes from nonrelativistic Goldstone modes in spinor condensates
• Quench Dynamics and Emergence of Phase Separation in Two-Component Atomic Bose Gases at Zero Temperature and above the BEC Critical Temperature
• Analogous Hawking radiation from gapped excitations in a transonic flow of binary Bose-Einstein condensates
• Dispersive censor of acoustic spacetimes with a shock-wave singularity
• Superradiant phononic emission from the analog spin ergoregion in a two-component Bose-Einstein condensate
• Expansion-contraction duality breaking in a Planck-scale sensitive cosmological quantum simulator
• Finite temperature ferromagnetic transition in coherently coupled Bose gases
• Vortices without inflow: bound spectra in horizonless rotational analogs
• Entanglement production in Einstein-Cartan theory
• Time-resolved density correlations as probe of squeezing in toroidal Bose-Einstein condensates
• Analog of cosmological particle production in Dirac materials
• Simulating Hawking radiation in quantum many-body systems: deviations from the thermal spectrum
• Simulating Cosmological Evolution by Quantum Quench of an Atomic BEC
• Ultrafast coherent control of spinor Bose-Einstein condensates using stimulated Raman adiabatic passage
• Inherent nonlinearity of fluid motion and acoustic gravitational wave memory
• Analog de Sitter space in a controlled Coulomb explosion
• Dissipative parametric resonance in a modulated 1D Bose gas
• Bubbles in a box: Eliminating edge nucleation in cold-atom simulators of vacuum decay
• Binary superfluids: Low-energy properties and dissipative processes from spontaneous emission of massive phonons
• Analogue time machine in a photonic system
• Quantum simulation of particle creation in curved space-time
• Simulating superluminal propagation of Dirac particles using trapped ions
• Smart Holes: Analogue black holes with the right temperature and entropy
• Quantum dynamics of cosmological particle production: interacting quantum field theories with matrix product states
• Curved and expanding spacetime geometries in Bose-Einstein condensates
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
• Quantum simulation of discrete curved spacetime by the Bose-Hubbard model: from analog acoustic black hole to quantum phase transition
• Mechanical cosmology: simulating scalar fluctuations in expanding Universes using synthetic mechanical lattices
• Analog Unruh effect of inhomogeneous one-dimensional Dirac fermions
• Bayesian analysis of analog gravity systems with the Rezzolla-Zhidenko metric
• Soliton Diffusion as a Signature of Hawking Radiation in Bose-Einstein Condensates
• Parametric pair production of collective excitations in a Bose-Einstein condensate
• Nondestructive optomechanical detection scheme for Bose-Einstein condensates
• Finite-temperature phase diagram and collective modes of coherently coupled Bose mixtures
• Detecting the Unruh Effect via an Engineered Low-Mass Field in a Superconducting Qubit
• Island of acoustic black hole in Schwarzschild spacetime
• Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems
• Cavity optomechanics with ultra-cold Bose gases for quasiparticle state manipulation and prospects for sensing applications
• Holographic superfluid sound modes with bulk acoustic black hole
• Recreating Fundamental Effects in the Laboratory?
• Phonon Dynamics in Spherically-Curved Analog-Gravity Bose-Einstein Condensates
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices