Atomic boson-fermion mixtures in one-dimensional box potentials: Few-body and mean-field many-body analyses

Parajuli, Bishal; Pęcak, Daniel; Chien, Chih-Chun

doi:10.1103/physreva.107.023308

Cited by 7 publications

(3 citation statements)

References 64 publications

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“…Nevertheless, the phase-separation structures of bosonfermion mixtures can exhibit various inhomogeneous profiles already for binary mixtures in the presence of uniform interactions [76,77]. Adding inhomogeneous interactions to the fermions, such as the step-function or spatial quench of the pairing interaction studied here, is expected to lead to richer structures.…”

Section: Bosonic Backgroundmentioning

confidence: 90%

“…By using the fermionic parameters as units, the boson-boson and boson-fermion coupling constants can be written in terms of dimensionless quantities as g bb = g bb E 0 f /k 0 f and g bf = g bf E 0 f /k 0 f , respectively. Previous studies [76,77] have shown that bosons and fermions in a binary mixture can form miscible mixtures when the inter-species interaction is relatively weak or the densities are low. However, phase-separation structures with inhomogeneous densities start to emerge as the inter-species interaction and densities increase.…”

Section: Bosonic Backgroundmentioning

confidence: 99%

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Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Parajuli¹,

Chien²

2023

Preprint

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Introducing spatially tunable interactions to atomic Fermi gases makes it feasible to study two phenomena, the proximity effect and spatial Kibble-Zurek mechanism (KZM), in a unified platform. While the proximity effect of a superconductor adjacent to a normal metal corresponds to a stepfunction quench of the pairing interaction in real space, the spatial KZM is based on a linear drop of the interaction that can be modeled as a spatial quench. After formulating the Fermi gases with spatially varying pairing interactions by the Bogoliubov-de Gennes (BdG) equation, we obtain the profiles of the pair wavefunction and its correlation function to study their penetration into the noninteracting region. For the step-function quench, both correlation lengths from the pair wavefunction and its correlation function follow the BCS coherence length and exhibit the same scaling behavior. In contrast, the exponents from the two correlation lengths are different in the spatial quench. Only the exponent from the pair correlation function agrees with the KZM prediction. Therefore, the spatial quench allows more refined analyses of the correlation lengths from different physical quantities. Moreover, adding a weakly interacting bosonic background does not change the scaling behavior. We also discuss relevant experimental techniques that may realize and verify the inhomogeneous phenomena.

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Section: Bosonic Backgroundmentioning

confidence: 90%

Section: Bosonic Backgroundmentioning

confidence: 99%

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Parajuli¹,

Chien²

2023

Preprint

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“…The alkali-metal binary atomic Bose-Fermi mixtures with 87 Rb and 40 K exhibit intriguing properties, which have rich Feshbach resonances, and have attracted enormous attention, [38,39] such as the Bose-Fermi Hubbard model, [40] few-body and mean-field many-body, [41] realization of mixed bright solitons, [42] and creation of polar molecules. [43] However, many problems still need to be overcome to achieve the degeneracy of Bose-Fermi gas mixtures in experiments, such as increasing the number and lifetime of the atomic mixtures via reducing the light-assisted hetero-nuclear collision losses, [44] avoiding the space competition induced by the over-lap high densities of the two atomic clouds during the stage for capturing atoms in three-dimensional magnetic-optical trap (3D MOT), and finding the right spin state to form atomic mixtures and to achieve better sympathetically evaporative cooling effect in the optical dipole trap (ODT).…”

mentioning

confidence: 99%

Optimal preparation of Bose and Fermi atomic gas mixtures of ⁸⁷Rb and ⁴⁰K in a crossed optical dipole trap

Ding 丁,

Shan 单,

Zhao 赵

et al. 2024

Chinese Phys. B

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We report on the optimal production of the Bose and Fermi mixtures with $^{87}$Rb and $^{40}$K in a crossed optical dipole trap (ODT). We measure the atomic number and lifetime of the mixtures at the combination of the spin state $|F=9/2, m_{F}=9/2\rangle$ of $^{40}$K and $|1, 1\rangle$ of $^{87}$Rb in the ODT, which is larger and longer compared with the combination of the spin state $|9/2, 9/2\rangle$ of $^{40}$K and $|2, 2\rangle$ of $^{87}$Rb in the ODT. We observe the atomic numbers of $^{87}$Rb and $^{40}$K shown in each stage of the sympathetic cooling process while gradually reducing the depth of the optical trap. By optimizing the relative loading time of atomic mixtures in the MOT, we can obtain the large atomic number of $^{40}$K ($\sim$6$\times$10$^{6}$) or the mixtures of atoms with an equal number ($\sim$1.6$\times$10$^{6}$) at the end of evaporative cooling in ODT. We have experimentally investigated the evaporative cooling in an enlarged volume of ODT via adding a third laser beam to the crossed ODT and found that more atoms (8$\times$10$^{6}$) and higher degeneracy ($T/T_F$=0.25) of Fermi gases are obtained. The ultracold atomic gas mixtures pave the way to explore phenomena such as few-body collisions and the Bose-Fermi Hubbard model, as well as for creating ground-state molecules of $^{87}$Rb$^{40}$K.

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Radial and angular correlations in a confined system of two atoms in two-dimensional geometry

Kościk

2024

Quantum Inf Process

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We study the ground-state entanglement between two atoms in a two-dimensional isotropic harmonic trap. We consider a finite-range soft-core interaction that can be applied to simulate various atomic systems. We provide detailed results on the dependence of the correlations on the parameters of the system. Our investigations show that in the hardcore limit, the wave function can be approximated as the product of the radial and angular components regardless of the interaction range. This implies that the radial and angular correlations are independent of one another. However, correlations within the radial and angular components persist and are heavily influenced by the interaction range. The radial correlations are generally weaker than the angular correlations. When soft-core interactions are considered, the correlations exhibit more complex behavior.

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Atomic boson-fermion mixtures in one-dimensional box potentials: Few-body and mean-field many-body analyses

Cited by 7 publications

References 64 publications

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Optimal preparation of Bose and Fermi atomic gas mixtures of ⁸⁷Rb and ⁴⁰K in a crossed optical dipole trap

Radial and angular correlations in a confined system of two atoms in two-dimensional geometry

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Atomic boson-fermion mixtures in one-dimensional box potentials: Few-body and mean-field many-body analyses

Cited by 7 publications

References 64 publications

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Proximity effect and spatial Kibble-Zurek mechanism in atomic Fermi gases with inhomogeneous pairing interactions

Optimal preparation of Bose and Fermi atomic gas mixtures of 87Rb and 40K in a crossed optical dipole trap

Radial and angular correlations in a confined system of two atoms in two-dimensional geometry

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Product

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Optimal preparation of Bose and Fermi atomic gas mixtures of ⁸⁷Rb and ⁴⁰K in a crossed optical dipole trap