Exact density oscillations in the Tonks-Girardeau gas and their optical detection
Mihaly G. Benedict, Csaba Benedek, Attila Czirjak
TL;DR
This paper derives the exact time-dependent density oscillations in a strongly interacting one-dimensional Bose gas, proposing optical detection methods to measure particle number and superposition coefficients.
Contribution
It provides an exact analytical solution for density oscillations in the Tonks-Girardeau gas and links these to optical detection techniques for experimental characterization.
Findings
Exact density profiles for superpositions in the Tonks-Girardeau gas
Optical scattering can determine particle number and superposition coefficients
Potential for experimental measurement of strongly interacting 1D Bose gases
Abstract
We construct the exact time dependent density profile for a superposition of the ground and singly excited states of a harmonically trapped one dimensional Bose-Einstein condensate in the limit of strongly interacting particles, the Tonks-Girardeau gas. Results of an off resonant light scattering experiment probing the system could allow to determine the number of particles contained in the gas, as well as the coefficients of the superposition.
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