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Reentrant behavior of breathing mode in one-dimensional Bose gas | | A. Iu. Gudyma
; G. E. Astrakharchik
; Mikhail B. Zvonarev
; | | Date: |
14 Dec 2014 | | Abstract: | We calculate the breathing mode frequency $omega$ in a one-dimensional Bose
gas confined to a harmonic trap of frequency $omega_z$. We predict a smooth
crossover from Thomas-Fermi Bose-Einstein condensate (BEC) regime ($omega =
sqrt{3} omega_z$) to Gaussian BEC regime ($omega = 2 omega_z$) using
Hartree approximation and sum rules approach, adopted to small system sizes.
Local density approximation (LDA) correctly captures the crossover from
Tonks-Girardeau ($omega = 2 omega_z$) to Thomas-Fermi BEC ($omega = sqrt{3}
omega_z$) regimes. Predictions from local density and Hartree approximations
can be continuously matched for $N>25$ particles, providing a complete
zero-temperature description for large number of particles and resulting in a
non-monotonic reentrant behavior of the breathing frequency. For smaller number
of particles (ranging from $N=2$ to $N=25$) we perform extensive diffusion
Monte Carlo simulations. This permits us to obtain a complete picture,
applicable to arbitrary number of particles and any repulsive interaction
strength. We provide perturbative analysis for both weak and strong coupling
regimes. We revisit Innsbruck group experiment [Science 325, 1224 (2009)],
analyzing the measurements done in Thomas-Fermi - Gaussian BEC crossover, and
demonstrate that the breathing frequency follows a reentrant behavior as a
function of the interaction strength in full agreement with our theory. | | Source: | arXiv, 1412.4408 | | Services: | Forum | Review | PDF | Favorites | |
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