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Bulletin of the Moscow State Regional University (Physics and mathematics)

Time evolution of Bose-condensed atoms in a three-well trap under the condition of a non-zero initial population of the first well

Olga F. Vasilieva, Зинган Анна Петровна

Published Jan 1, 2022• 2 citations
Publisher

Abstract

ÂÐÅÌÅÍÍÀß ÝÂÎËÞÖÈß ÁÎÇÅ-ÊÎÍÄÅÍÑÈÐÎÂÀÍÍÛÕ ÀÒÎÌΠ ÒШÕÚßÌÍÎÉ ËÎÂÓØÊÅ, ÏÐÈ ÓÑËÎÂÈÈ ÎÒËÈ×ÍÎÉ ÎÒ ÍÓËß ÍÀ×ÀËÜÍÎÉ ÇÀÑÅ˨ÍÍÎÑÒÈ ÏÅÐÂÎÉ ßÌÛ Васильева О. Ф., Зинган А
DOI
10.18384/2310-7251-2022-2-28-41

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Aim of this work is to theoretically investigate the temporal evolution of Bose-condensed atoms in a quadrupole trap. Methodology. Theoretical studies of the interaction Hamiltonian describing the time evolution of Bose-condensed atoms in a quadrupole trap under linear tunneling conditions have been carried out. Results. Analytical solutions are obtained for a system of differential equations describing the time evolution of Bose-condensed atoms in a quadrupole trap. Research implications. The time evolution of Bose-condensed atoms in a quadrupole trap is determined by the initial phase difference, which makes it possible to phase-control the process of Bose-atom tunneling in traps.
We experimentally studied the spin-dependent collision dynamics of 87Rb^{87}\mathrm{Rb}87Rb spin-2 Bose-Einstein condensates confined in an optical trap. The condensed atoms were initially populated in the $\ensuremath{\mid}F=2,{m}_{F}=0⟩$ state, and their time evolutions in the trap were measured in the presence of external magnetic field strengths ranging from 0.1 to 3.0G3.0\phantom{\rule{0.3em}{0ex}}\mathrm{G}3.0G. The atom loss rate due to inelastic two-body collisions was found to be $1.4(2)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}13}\phantom{\rule{0.3em}{0ex}}{\text{cm}}^{3}\phantom{\rule{0.3em}{0ex}}{\mathrm{s}}^{\ensuremath{-}1}$. Spin mixing in the F=2F=2F=2 manifold developed dramatically for the first few tens of milliseconds, and the oscillations in the population distribution between different magnetic components were observed over a limited range of magnetic field strengths. The antiferromagnetic property of this system was deduced from the magnetic field dependence on the evolution of relative populations for each mF{m}_{F}mF​ component.