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arXiv:2212.13220 · Physical Review A

Mitigating heating of degenerate fermions in a ring-dimple atomic trap

Daniel Allman, Parth Sabharwal, Kevin Wright

Published Apr 25, 2023• 5 citations
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Abstract

We report on the impact of the extended geometry of a ring-dimple trap on particle-loss heating of a degenerate Fermi gas. When the Fermi level is slightly greater than the depth of the dimple and a broad, low-density ``halo'' is present, the overall heating rate is reduced relative to the case of a bare ring. We find that the experimentally measured heating rates for the overfilled dimple are in good agreement with a model of the hole-induced heating caused by background-gas collisions. This suppression of the heating rate can be helpful for experimental studies of fermionic superfluids in the weak pairing limit, where achieving and maintaining low temperatures over long timescales are essential.

DOI
10.1103/physreva.107.043322

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We report on the impact of the extended geometry of a ring-dimple trap on particle-loss heating of a degenerate Fermi gas. When the Fermi level is slightly greater than the depth of the dimple and a broad, low-density ``halo'' is present, the overall heating rate is reduced relative to the case of a bare ring. We find that the experimentally measured heating rates for the overfilled dimple are in good agreement with a model of the hole-induced heating caused by background-gas collisions. This suppression of the heating rate can be helpful for experimental studies of fermionic superfluids in the weak pairing limit, where achieving and maintaining low temperatures over long timescales are essential.
Loss processes that remove particles from an atom trap leave holes behind in the single particle distribution if the trapped gas is a degenerate fermion system. The appearance of holes increases the temperature and we show that the heating (i) is significant if the initial temperature is well below the Fermi temperature T(F), and (ii) increases the temperature to T> or =T(F)/4 after half of the system's lifetime, regardless of the initial temperature. The hole heating has important consequences for the prospect of observing Cooper pairing in atom traps.
We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the fermionic component, and postulating the thermal distribution for both gases we calculate analytically the rate at which fermions are cooled by the bosonic atoms. The particle losses constitute an important source of heating of the degenerate Fermi gas. We evaluate the rate of loss-induced heating and derive analytical results for the final temperature of fermions, which is limited in the presence of particle losses.
We derive a simple formula for the heating rate that arises from quantum-diffractive background gas collisions in atom traps. This result appears to explain the residual heating rates reported for recent experiments with a Cs vapor-loaded, far-detuned optical trap at $\ensuremath{\simeq}{10}^{\ensuremath{-}9}$ Torr [Phys. Rev. Lett. 81, 5768 (1998)]. Diffractive collisions may determine the minimum heating rates achievable in shallow all-optical or magnetic atom traps operating at low temperature and high density.
We investigate a species selective cooling process of a trapped SU(N)\mathrm{SU}(N)SU(N) Fermi gas using entropy redistribution during adiabatic loading of an optical lattice. Using high-temperature expansion of the Hubbard model, we show that when a subset NA<N{N}_{A}<NNA​<N of the single-atom levels experiences a stronger trapping potential in a certain region of space, the dimple, it leads to improvement in cooling as compared to an SU(NA)\mathrm{SU}({N}_{A})SU(NA​) Fermi gas only. We show that optimal performance is achieved when all atomic levels experience the same potential outside the dimple and we quantify the cooling for various NA{N}_{A}NA​ by evaluating the dependence of the final entropy densities and temperatures as functions of the initial entropy. Furthermore, considering 87Sr^{87}\mathrm{Sr}87Sr and 173Yb^{173}\mathrm{Yb}173Yb for specificity, we provide a quantitative discussion of how the state selective trapping can be achieved with readily available experimental techniques.
For a gas trapped in a harmonic potential, the sloshing (or Kohn) mode is undamped and its frequency coincides with the trap frequency, independently of the statistics, interaction, and temperature of the gas. However, experimental trap potentials have usually Gaussian shape and anharmonicity effects appear as the temperature and, in the case of Fermions, the filling of the trap are increased. We study the sloshing mode of a degenerate Fermi gas in an anharmonic trap within the Boltzmann equation, including in-medium effects in both the transport and collision terms. The calculated frequency shifts and damping rates of the sloshing mode due to the trap anharmonicity are in satisfactory agreement with the available experimental data. We also discuss higher-order dipole, octupole, and bending modes and show that the damping of the sloshing mode is caused by its coupling to these modes.
Heating in a magnetic trap was observed through measurements of heated fraction. These results are in agreement with a trap simulation, which can also be used to predict per-atom heating rate . The heating rate for an ensemble with non-zero temperature is significantly smaller than the heating rate for an ensemble with zero temperature. Future work includes refining FH’ measurements, investigating possible deviations of the data from the simulation at large trap depths, and characterizing heating between trapped Rb and other gases, such as 40Ar. dt dE /