Vortex line in the unitary Fermi gas

Madeira, Lucas; Vitiello, S. A.; Gandolfi, Stefano; Schmidt, Kevin

doi:10.1103/physreva.93.043604

Cited by 9 publications

(15 citation statements)

References 29 publications

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“…Instead, we opted for using a cylindrical container of radius R and height L, with hard walls, periodic in the axial direction. 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.…”

Section: A Cylindrical Containersupporting

confidence: 90%

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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Section: A Cylindrical Containersupporting

confidence: 90%

Vortices in low-density neutron matter and cold Fermi gases

et al. 2019

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“…(27), which combines both VMC and DMC runs. It is noteworthy to point out that, although the densities observed in VMC and DMC simulations differ, they are much closer than previous results in 3D [21]. In that calculation it was needed to explicitly include a onebody term in the wave function to maximize the density overlap between DMC and VMC runs, whereas in this work no such term was employed.…”

Section: Density Profilementioning

confidence: 55%

“…Figure 5 shows the density profile of both the vortex and ground-state systems for N = 70 and η = 1.5. The oscillations in the density profiles are much more pronounced than in a similar DMC calculation of a unitary Fermi gas in 3D [21]. In this 3D calculation a cylindrical geometry was employed, with hard walls and periodic boundary conditions along the axis of the cylinder.…”

Section: Density Profilementioning

confidence: 98%

“…The BCS wave function, which describes pairing explicitly, has been successfully used in a variety of strongly interacting Fermi gases systems, such as: 3D [36] and 2D [13] bulk systems, vortices in the unitary regime [21], two-component mixtures [37,38], and many other systems. This wave function, projected to a fixed number of particles N (half with spin-up and half with spin-down), can be written as the antisymmetrized product [39] (11) where R is a vector containing the particle positions r i , S stands for the spins s i , and φ is the pairing function, which is given by…”

Section: Wave Functionsmentioning

confidence: 99%

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

2017

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We report T = 0 diffusion Monte Carlo results for the ground-state and vortex excitation of unpolarized spin-1/2 fermions in a two-dimensional disk. We investigate how vortex core structure properties behave over the BEC-BCS crossover. We calculate the vortex excitation energy, density profiles, and vortex core properties related to the current. We find a density suppression at the vortex core on the BCS side of the crossover, and a depleted core on the BEC limit. Size-effect dependencies in the disk geometry were carefully studied.

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“…This manuscript can also be used as a starting point to study trapping geometries with other symmetries. 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].…”

Section: Discussionmentioning

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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Vortex line in the unitary Fermi gas

Cited by 9 publications

References 29 publications

Vortices in low-density neutron matter and cold Fermi gases

Vortices in low-density neutron matter and cold Fermi gases

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

Bose–Einstein condensation in spherically symmetric traps

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