Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid

Bulgac, Aurel; Yu, Yongle

doi:10.1103/physrevlett.91.190404

Cited by 90 publications

(125 citation statements)

References 41 publications

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“…These results qualitatively agree with those of Bulgac et al [5] in the BCS region, but quantitatively they are quite different: in refs. [5,6] only a small depression in the fermionic density is found on the BCS side of the Feshbach resonance. What can be the reason for the discrepancy ?…”

Section: Properties Of the Vortex Coresupporting

confidence: 83%

“…With this treatment, we investigate how the vortex core size and the fermionic density depletion at the core change when the fermionic superfluid is brought from the BEC to the BCS regime. On the BCS side of the Feshbach resonance, we compare our results to those obtained with the SLDA treatment [5].…”

Section: Introductionmentioning

confidence: 79%

“…Whereas vortices are well understood both in the BEC and the BCS limits, it is not clear how the characteristics of the vortex (such as the core size) behave in the crossover regime. Bulgac and Yu have extended density functional theory to superfluid fermion systems [4], and studied vortex states in the BCS regime within their superfluid local density approximation (SLDA) [5]. They found that in the BCS regime vortices give rise to a depletion in the fermion density.…”

Section: Introductionmentioning

confidence: 99%

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Path-integral mean-field description of the vortex state in the BEC-to-BCS crossover

2005

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We derive a path-integral description of the vortex state of a fermionic superfluid in the crossover region between the molecular condensate (BEC) regime and the Cooper pairing (BCS) regime.This path-integral formalism, supplemented by a suitable choice for the saddle point value of the pairing field in the presence of a vortex, offers a unified description that encompasses both the BEC and BCS limits. The vortex core size is studied as a function of the tunable interaction strength between the fermionic atoms. We find that in the BEC regime, the core size is determined by the molecular healing length, whereas in the BCS regime, the core size is proportional only to the Fermi wave length. The observation of such quantized vortices in dilute Fermi gases would provide an unambiguous proof of the realization of superfluidity in these gases.

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Section: Properties Of the Vortex Coresupporting

confidence: 83%

Section: Introductionmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

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Path-integral mean-field description of the vortex state in the BEC-to-BCS crossover

2005

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“…[16] where an extension of the density-functional theory (DFT) to superconducting systems [17] was generalized to a number of nuclear and atomic systems. Let us consider a Fermi gas consisting of a 50-50 mixture of two different states confined in a harmonic trap V ext ͑r ជ͒ = ͑m /2͓͒ Ќ 2 ͑x 2 + y 2 ͒ + z 2 z 2 ͔.…”

mentioning

confidence: 99%

Time-dependent density-functional theory for trapped strongly interacting fermionic atoms

2004

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The dynamics of strongly interacting trapped dilute Fermi gases (dilute in the sense that the range of interatomic potential is small compared with inter-particle spacing ) is investigated in a single-equation approach to the time-dependent density-functional theory. Our results are in good agreement with recent experimental data in the BCS-BEC crossover regime.It is also shown that the calculated corrections to the hydrodynamic approximation may be important even for systems with a rather large number of atoms.

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“…[7] In addition, several theoretical studies have analyzed the possible new properties of vortices across a Feshbach resonance from the BCS to the BEC side. [8,9,10,11] The physics of atomic Fermi gases is also of fundamental interest beyond the standard BCS/BEC physics, owing to the new tuning flexibility in the atomic gas systems. Under the condition of density imbalance (hence mismatched Fermi surfaces) between the spin-up and -down fermions, a modulated Larkin-Ovchinnikov-Fulde-Ferrell (LOFF) [12] superfluid phase, has long been theoretically anticipated.…”

Section: Introductionmentioning

confidence: 99%

Unconventional interaction between vortices in a polarized Fermi gas

2008

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Recently, a homogeneous superfluid state with a single gapless Fermi surface was predicted to be the ground state of an ultracold Fermi gas with spin population imbalance in the regime of molecular Bose-Einstein condensation. We study vortices in this novel state using a symmetry-based effective field theory, which captures the low-energy physics of gapless fermions and superfluid phase fluctuations. This theory is applicable to all spin-imbalanced ultracold Fermi gases in the superfluid regime, regardless of whether the original fermion pairing interaction is weak or strong. We find a remarkable, unconventional form of the interaction between vortices. The presence of gapless fermions gives rise to a spatially oscillating potential, akin to the RKKY indirect-exchange interaction in non-magnetic metals. We compare the parameters of the effective theory to the experimentally measurable quantities and further discuss the conditions for the verification of the predicted new feature. Our study opens up an interesting question as to the nature of the vortex lattice resulting from the competition between the usual repulsive logarithmic (2D Coulomb) and predominantly attractive fermion-induced interactions.

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Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid

Abstract: We show that in a dilute fermionic superfluid, when the fermions interact with an infinite scattering length, a vortex state is characterized by a strong density depletion along the vortex core. This feature can make a direct visualization of vortices in fermionic superfluids possible.

Cited by 90 publications

References 41 publications

Path-integral mean-field description of the vortex state in the BEC-to-BCS crossover

Path-integral mean-field description of the vortex state in the BEC-to-BCS crossover

Time-dependent density-functional theory for trapped strongly interacting fermionic atoms

Unconventional interaction between vortices in a polarized Fermi gas

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