Experimental observation of the Bogoliubov transformation for a Bose-Einstein condensed gas

Abstract

Phonons with wavevector $q/\hslash$ were optically imprinted into a Bose-Einstein condensate. Their momentum distribution was analyzed using Bragg spectroscopy with a high momentum transfer. The wavefunction of the phonons was shown to be a superposition of +q and -q free particle momentum states, in agreement with the Bogoliubov quasiparticle picture.

4 pages, 3 figures, please take postscript version for the best version of Fig 1

Cited by in corpus (75)

• Many-Body Physics with Ultracold Gases
• Quantum enhanced measurements without entanglement
• Dipolar physics: A review of experiments with magnetic quantum gases
• Fractional Quantum Hall Effect in Optical Lattices
• Momentum-Resolved Bragg Spectroscopy in Optical Lattices
• From single particle to superfuid excitations in a dissipative polariton gas
• Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
• Beliaev damping of quasi-particles in a Bose-Einstein condensate
• Superfluid light in propagating geometries
• Bragg spectroscopy of the multi-branch Bogoliubov spectrum of elongated Bose-Einstein condensates
• Naturalness in emergent spacetime
• Bogoliubov Excitations of Disordered Bose-Einstein Condensates
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Analogue quantum gravity phenomenology from a two-component Bose-Einstein condensate
• Entanglement in The Second Quantization Formalism
• Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
• Quantum signature of analog Hawking radiation in momentum space
• Dynamic structure factor of a Bose Einstein condensate in a 1D optical lattice
• Observation of quantum depletion in a nonequilibrium exciton-polariton condensate
• Evolution from BCS superconductivity to Bose-Einstein condensation: Current correlation function in the broken-symmetry phase
• The Planck distribution of phonons in a Bose-Einstein condensate
• Direct observation of the phonon energy in a Bose-Einstein condensate by tomographic imaging
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Phase Dependence of Phonon Tunneling in Bosonic Superfluid-Insulator-Superfluid Junctions
• Dynamic correlation functions in one-dimensional quasi-condensates
• The phonon dispersion relation of a Bose-Einstein condensate
• Bogoliubov spectrum and Bragg spectroscopy of elongated Bose-Einstein condensates
• Mean-field limit of Bose systems: rigorous results
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates
• The fate of phonons in freely expanding Bose-Einstein condensates
• Faraday patterns generated by Rabi oscillation in a binary Bose-Einstein condensate
• Hydrodynamic modes of partially condensed Bose mixtures
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Theory of a one-dimensional double-X atom interferometer
• Phonon background versus analogue Hawking radiation in Bose-Einstein condensates
• Noise correlations of the ultra-cold Fermi gas in an optical lattice
• The structure of the perturbation series of the spin-1 Bose gas at low temperatures
• Bogoliubov excitations of a polariton condensate in dynamical equilibrium with an incoherent reservoir
• Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide
• Supercurrent behavior of low-energy Bogoliubov phonon and anomalous tunneling effect in a Bose-Einstein condensate
• Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model
• Beliaev Damping in Spin-$\frac{1}{2}$ Interacting Bosons with Spin-Orbit Coupling
• Resource Letter BEC-1: Bose-Einstein Condensates in Trapped Dilute Gases
• Entangling Two Bose-Einstein Condensates by Stimulated Bragg Scattering
• Particle-hole character of the Higgs and Goldstone modes in strongly-interacting lattice bosons
• Anisotropic scattering of Bogoliubov excitations
• Three-wave mixing of Bogoliubov quasi-particles in a Bose condensate
• Quantum Decoherence of Phonons in Bose-Einstein Condensates
• Many-body Decay of the Gapped Lowest Excitation of a Bose-Einstein Condensate
• Supercurrent induced by tunneling Bogoliubov excitations in a Bose-Einstein condensate
• Bogoliubov excitations driven by thermal lattice phonons in a quantum fluid of light
• Superfluidity of the BEC at finite temperature
• Light scattering in Cooper-paired Fermi atoms
• Spin-charge-density wave in a squircle-like Fermi surface for ultracold atoms
• Instabilities of off-centered vortices in a Bose-Einstein condensate
• Goldstone Theorem, Hugenholtz-Pines Theorem and Ward-Takahashi Relation in Finite Volume Bose-Einstein Condensed Gases
• Spin-gapped magnets with weak anisotropies I: Constraints on the phase of the condensate wave function
• Low-lying energy levels of a one-dimensional weakly interacting Bose gas under zero boundary conditions
• Instabilities of interacting matter waves in optical lattices with Floquet driving
• Two-stream instability in quasi-one-dimensional Bose-Einstein condensates
• Quantum geometry of bosonic Bogoliubov quasiparticles
• On the survival of the quantum depletion of a condensate after release from a magnetic trap
• Optically trapped quasi-two-dimensional Bose gases in random environment: quantum fluctuations and superfluid density
• Photon-Pressure with an Effective Negative Mass Microwave Mode
• Collective excitations of low density fermion-boson quantum-liquid mixtures
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Strong connection between single-particle and density excitations in Bose-Einstein condensates
• Functional Integral and Stochastic Representations for Ensembles of Identical Bosons on a Lattice
• How do sound waves in a Bose-Einstein condensate move so fast?
• Momentum-Transfer to and Elementary-Excitations of a Bose-Einstein Condensate by a Time-Dependent Optical Potential
• Acoustic attenuation probe for fermion superfluidity in ultracold atom gases
• Probing Sound Speed of an Optically-Trapped Bose Gas with Periodically Modulated Interactions by Bragg Spectroscopy
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• How Infrared Singularities Affect Nambu-Goldstone Bosons at Finite Temperatures