How to measure the Bogoliubov quasiparticle amplitudes in a trapped condensate

Abstract

We propose an experiment, based on two consecutive Bragg pulses, to measure the momentum distribution of quasiparticle excitations in a trapped Bose gas at low temperature. With the first pulse one generates a bunch of excitations carrying momentum $q$, whose Doppler line is measured by the second pulse. We show that this experiment can provide direct access to the amplitudes $u_q$ and $v_q$ characterizing the Bogoliubov transformations from particles to quasiparticles. We simulate the behavior of the nonuniform gas by numerically solving the time dependent Gross-Pitaevskii equation.

arXiv comment12 pages, 4 figures included

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• Bragg spectroscopy of a Bose-Einstein condensate
• Bosons in anisotropic traps: ground state and vortices
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• Quantum signature of analog Hawking radiation in momentum space
• Evolution from BCS superconductivity to Bose-Einstein condensation: Current correlation function in the broken-symmetry phase
• Bogoliubov's Vision: Quasiaverages and Broken Symmetry to Quantum Protectorate and Emergence
• Bogoliubov spectrum and Bragg spectroscopy of elongated Bose-Einstein condensates
• Spatially selective Bragg scattering: a signature for vortices in Bose-Einstein condensates
• The fate of phonons in freely expanding Bose-Einstein condensates
• Coherent Tunneling of Atoms from Bose-condensed Gases at Finite Temperatures
• Beliaev Damping in Spin-$\frac{1}{2}$ Interacting Bosons with Spin-Orbit Coupling
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• Entangling Two Bose-Einstein Condensates by Stimulated Bragg Scattering
• Anisotropic scattering of Bogoliubov excitations
• Rotational bosonic current in a quasi-condensate confined in an optical toroidal trap
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Strong connection between single-particle and density excitations in Bose-Einstein condensates
• Interacting Bosons at Finite Temperature: How Bogolubov Visited a Black Hole and Came Home Again
• Excitations at the border of a condensate
• Bragg spectroscopy of discrete axial quasiparticle modes in a cigar-shaped degenerate Bose gas