Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

Madeira, Lucas; Gandolfi, Stefano; Schmidt, Kevin

doi:10.1103/physreva.95.053603

Cited by 14 publications

(14 citation statements)

References 43 publications

(83 reference statements)

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“…We have compared our results to previous ab-initio work, finding significantly lower energies than prior ground-state DMC results [42] in the crossover regime and excellent agreement with AFQMC [43]. More recently another QMC study has emerged [48] that finds DMC results in agreement with ours. Note that we here provide more results in the BCS side than where available previously [44].…”

Section: Equation Of Statesupporting

confidence: 75%

Fermions in Two Dimensions: Scattering and Many-Body Properties

et al. 2017

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Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spindown particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo (DMC) calculations. The many-body dynamics are largely dependent on the two-body interactions, therefore we start with an in-depth look at scattering theory in 2D. We show the partial-wave expansion and its relation to the scattering length and effective range. Then we discuss our numerical methods for determining these scattering parameters. We close out this discussion by illustrating the details of bound states in 2D. Transitioning to the many-body system, we use variationally optimized wave functions to calculate ground-state properties of the gas over a range of interaction strengths. We show results for the energy per particle and parametrize an equation of state. We then proceed to determine the chemical potential for the strongly interacting gas.

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Section: Equation Of Statesupporting

confidence: 75%

Fermions in Two Dimensions: Scattering and Many-Body Properties

et al. 2017

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“…For example, cylindrical geometries are useful in the study of vortex lines in cold gases [34][35][36]. In two-dimensions, disks can be used to investigate point-like vortices [37][38][39]. ACKNOWLEDGMENTS We thank A. Tononi and L. Salasnich for sharing their findings concerning Bose-Einstein condensation on the surface of a sphere.…”

Section: Discussionmentioning

confidence: 99%

“…We can perform a Taylor expansion of the spherical Bessel functions, Eqs. (29) and (30), (39) where f l can denote either j l or y l , and we used the property df l (z)/dz = (1/2)(f l−1 (z) − f l (z)/z + f l+1 (z)). Substituting this into Eq.…”

Section: B From 3d To 2dmentioning

confidence: 99%

Bose–Einstein condensation in spherically symmetric traps

Bereta

Madeira

Bagnato

et al. 2019

American Journal of Physics

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We present a pedagogical introduction to Bose-Einstein condensation in traps with spherical symmetry, namely the spherical box and the thick shell, sometimes called bubble trap. In order to obtain the critical temperature for Bose-Einstein condensation, we describe how to calculate the cumulative state number and density of states in these geometries, using numerical and analytical (semi-classical) approaches. The differences in the results of both methods are a manifestation of Weyl's theorem, i.e., they reveal how the geometry of the trap (boundary condition) affects the number of the eigenstates counted. Using the same calculation procedure, we analyzed the impact of going from three-dimensions to two-dimensions, as we move from a thick shell to a two-dimensional shell. The temperature range we obtained, for most commonly used atomic species and reasonable confinement volumes, is compatible with current cold atom experiments, which demonstrates that these trapping potentials may be employed in experiments.

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“…This choice is consistent with previous bosonic [16] and fermionic [17] calculations. Also, this is the generalization of the two-dimensional (2D) disk geometry to 3D [18][19][20], where we made the axial direction periodic. Throughout this work we use (ρ, ϕ, z) to denote the usual cylindrical coordinates.…”

Section: A Cylindrical Containermentioning

confidence: 99%

“…Fermionic systems bound by hard walls display density profiles characterized by Friedel oscillations. Although they are present in three dimensions, they are more pronounced in low-dimension systems such as 1D [22], and 2D [20]. We would like our system to exhibit some desirable features with respect to the energy and density distribution D(ρ).…”

Section: A Cylindrical Containermentioning

confidence: 99%

Vortices in low-density neutron matter and cold Fermi gases

et al. 2019

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Cold gas experiments can be tuned to achieve strongly-interacting regimes such as that of lowdensity neutron matter found in neutron-stars' crusts. We report T =0 diffusion Monte Carlo results (i) for the ground state of both spin-1/2 fermions with short-range interactions and low-density neutron matter in a cylindrical container, and (ii) properties of these systems with a vortex line excitation. We calculate the equation of state for cold atoms and low-density neutron matter in the bulk systems, and we contrast it to our results in the cylindrical container. We compute the vortex line excitation energy for different interaction strengths, and we find agreement between cold gases and neutron matter for very low densities. We also calculate density profiles, which allow us to determine the density depletion at the vortex core, which depends strongly on the short-ranged interaction in cold atomic gases, but it is of ≈ 25% for neutron matter in the density regimes studied in this work. Our results can be used to constrain neutron matter properties by using measurements from cold Fermi gases experiments.

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Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

Cited by 14 publications

References 43 publications

Fermions in Two Dimensions: Scattering and Many-Body Properties

Fermions in Two Dimensions: Scattering and Many-Body Properties

Bose–Einstein condensation in spherically symmetric traps

Vortices in low-density neutron matter and cold Fermi gases

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