We present a general analysis of the cooling produced by losses on condensates or quasi-condensates. We study how the occupations of the collective phonon modes evolve in time, assuming that the loss process is slow enough so that each mode adiabatically follows the decrease of the mean density. The theory is valid for any loss process whose rate is proportional to the $j$th power of the density, but otherwise spatially uniform. We cover both homogeneous gases and systems confined in a smooth potential. For a low-dimensional gas, we can take into account the modified equation of state due to the broadening of the cloud width along the tightly confined directions, which occurs for large interactions. We find that at large times, the temperature decreases proportionally to the energy scale $mc^2$, where $m$ is the mass of the particles and $c$ the sound velocity. We compute the asymptotic ratio of these two quantities for different limiting cases: a homogeneous gas in any dimension and a one-dimensional gas in a harmonic trap.
Cited by 4
Isabelle Bouchoule et al., Asymptotic temperature of a lossy condensate
SciPost Phys. 8, 060 (2020) [Crossref]
Max Schemmer et al., Cooling a Bose Gas by Three-Body Losses
Phys. Rev. Lett. 121, 200401 (2018) [Crossref]
Lena H. Dogra et al., Can Three-Body Recombination Purify a Quantum Gas?
Phys. Rev. Lett. 123, 020405 (2019) [Crossref]
, 67 (2019) [Crossref]
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- 1 Université Paris-Saclay / University of Paris-Saclay
- 2 Universität Potsdam / University of Potsdam [UPC]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Studienstiftung des Deutschen Volkes (through Organization: Studienstiftung des deutschen Volkes / German National Academic Foundation)