Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
arXiv:1701.06821 · doi:10.1016/j.aop.2019.03.023
Abstract
We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree method. We define from the full single-particle density matrix by the spatial decay exponent of off-diagonal long-range order. In a regime of mesoscopic particle numbers and moderate contact couplings, we derive the spatial dependence of the amplitude of phase fluctuations, determined from the {\em self-consistently} derived shape of the field operator orbitals and Fock space orbital occupation amplitudes. It is shown that the phase fluctuations display a peak, which in turn corresponds to a dip of the first-order correlations in position space, akin to what has previously been obtained in the Tonks-Girardeau limit of very large interactions and low densities.
13 pages of RevTex4-1, 10 figures
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- One-dimensional mixtures of several ultracold atoms: a review
- Effective approach to impurity dynamics in one-dimensional trapped Bose gases
- Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
- Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
- Many-body quantum dynamics of an asymmetric bosonic Josephson junction
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- Classical and quantum metrology of the Lieb-Liniger model
- Benchmarking the multiconfigurational Hartree method by the exact wavefunction of two harmonically trapped bosons with contact interaction
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