A time-dependent Kohn-Sham-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate and non-mean-field corrections due to the three-body recombination. We find that the calculated corrections are about 13 times larger for three-dimensional (3D) trapped dilute bose gases and about seven times larger for 1D trapped weakly interacting Bose gases when compared with the corresponding corrections for the ground-state energy and for the collective frequencies. The results are obtained at zero temperature.A time-dependent Kohn-Sham-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate and non-mean-field corrections due to the three-body recombination. We find that the calculated corrections are about 13 times larger for three-dimensional (3D) trapped dilute bose gases and about seven times larger for 1D trapped weakly interacting Bose gases when compared with the corresponding corrections for the ground-state energy and for the collective frequencies. The results are obtained at zero temperature.

arXiv:cond-mat/0305089Physical Review AFeb 3, 200416 citations

Characterization of three-body loss in Er166 and optimized production of large Bose-Einstein condensates

Milan Krstajić, Péter Juhász, Jiří Kučera +4 more

Ultracold gases of highly magnetic lanthanide atoms have enabled the realization of dipolar quantum droplets and supersolids. However, future studies could be limited by the achievable atom numbers and hindered by high three-body loss rates. Here we study density-dependent atom loss in an ultracold gas of $^{166}\mathrm{Er}$ for magnetic fields below 4 G, identifying six previously unreported, strongly temperature-dependent features. We find that their positions and widths show a linear temperature dependence up to at least $15\phantom{\rule{0.16em}{0ex}}\textmu{}\mathrm{K}$. In addition, we observe a weak, polarization-dependent shift of the loss features with the intensity of the light used to optically trap the atoms. This detailed knowledge of the loss landscape allows us to optimize the production of dipolar Bose-Einstein condensates with more than $2\ifmmode\times\else\texttimes\fi{}{10}^{5}$ atoms and points towards optimal strategies for the study of large-atom-number dipolar gases in the droplet and supersolid regimes.Ultracold gases of highly magnetic lanthanide atoms have enabled the realization of dipolar quantum droplets and supersolids. However, future studies could be limited by the achievable atom numbers and hindered by high three-body loss rates. Here we study density-dependent atom loss in an ultracold gas of $^{166}\mathrm{Er}$ for magnetic fields below 4 G, identifying six previously unreported, strongly temperature-dependent features. We find that their positions and widths show a linear temperature dependence up to at least $15\phantom{\rule{0.16em}{0ex}}\textmu{}\mathrm{K}$. In addition, we observe a weak, polarization-dependent shift of the loss features with the intensity of the light used to optically trap the atoms. This detailed knowledge of the loss landscape allows us to optimize the production of dipolar Bose-Einstein condensates with more than $2\ifmmode\times\else\texttimes\fi{}{10}^{5}$ atoms and points towards optimal strategies for the study of large-atom-number dipolar gases in the droplet and supersolid regimes.

arXiv:2307.01245Physical Review ADec 1, 202310 citations

Momentum-dependent 3-body loss in out-of-equilibrium 1D Bose gases

Laura A. Zundel, Lin Xia, Jean-Félix Riou +1 more

Bulletin of the American Physical SocietyOct 4, 20140 citations

Ultracold three-body recombination of fermionic atoms

Brett D. Esry, Hiroya Suno, Chris H. Greene

Three-body recombination can play an important role in experiments on ultracold atomic gases because it can produce significant atom loss. Such losses have been seen in Bose-Einstein condensates, but have been thought to play little role for degenerate Fermi gases. We show that under some circumstances, three-body recombination can be just as large in fermi systems as in bose systems. In particular, when there is a two-body resonance near threshold — as is often the case experimentally — the threshold suppression due to the Pauli principle no longer applies. 1Three-body recombination can play an important role in experiments on ultracold atomic gases because it can produce significant atom loss. Such losses have been seen in Bose-Einstein condensates, but have been thought to play little role for degenerate Fermi gases. We show that under some circumstances, three-body recombination can be just as large in fermi systems as in bose systems. In particular, when there is a two-body resonance near threshold — as is often the case experimentally — the threshold suppression due to the Pauli principle no longer applies. 1

International Conference on Atomic Physics (ICAP)Apr 1, 20032 citations

^{166}\mathrm{Er}

for magnetic fields below 4 G, identifying six previously unreported, strongly temperature-dependent features. We find that their positions and widths show a linear temperature dependence up to at least $15\phantom{\rule{0.16em}{0ex}}\textmu{}\mathrm{K}$. In addition, we observe a weak, polarization-dependent shift of the loss features with the intensity of the light used to optically trap the atoms. This detailed knowledge of the loss landscape allows us to optimize the production of dipolar Bose-Einstein condensates with more than $2\ifmmode\times\else\texttimes\fi{}{10}^{5}$ atoms and points towards optimal strategies for the study of large-atom-number dipolar gases in the droplet and supersolid regimes.