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The properties of vortices in superconducting thin films are revisited. The interaction between two Pearl vortices in an infinite film is approximated at all distances by a simple expression. The interaction of a vortex with a regular…

Superconductivity · Physics 2015-05-13 Ernst Helmut Brandt

We investigate theoretically the formation of a vortex lattice in a superfluid two-spin component Fermi gas in a rotating harmonic trap, in a BCS-type regime of condensed non-bosonic pairs. Our analytical solution of the superfluid…

Other Condensed Matter · Physics 2016-08-16 Giulia Tonini , Félix Werner , Yvan Castin

The rotation of two-component Fermi gases and the subsequent appearance of vortices have been the subject of numerous experimental and theoretical studies. Recent experimental advances in hyperfine state-dependent potentials and highly…

Quantum Gases · Physics 2020-05-08 Timour Ichmoukhamedov , Jacques Tempere

Adding energy to a system through transient stirring usually leads to more disorder. In contrast, point-like vortices in a bounded two-dimensional fluid are predicted to reorder above a certain energy, forming persistent vortex clusters.…

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…

Statistical Mechanics · Physics 2008-11-26 Aurel Bulgac , Yongle Yu

The Bogoliubov procedure in quantum field theory is used to describe a relativistic almost ideal Bose gas at zero temperature. Special attention is given to the study of a vortex. The radius of the vortex in the field description is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Boisseau

We have derived an exact expression for the total nondissipative transverse force acting on a quantized vortex moving in a uniform background. The derivation is valid for neutral boson or fermion superfluids, provided the order parameter is…

Condensed Matter · Physics 2009-01-23 D. J. Thouless , P. Ao , Q. Niu

We analyze the vortex core states of two-species (mass imbalanced) superfluid fermion mixtures as a function of two-body binding energy in two dimensions. In particular we solve the Bogoliubov-de Gennes equations for a population balanced…

Superconductivity · Physics 2009-11-13 M. Iskin

Singly quantized vortices have been already observed in many systems including the superfluid helium, Bose Einstein condensates of dilute atomic gases, and condensates of exciton polaritons in the solid state. Two dimensional superfluids…

Quantum Gases · Physics 2009-11-16 K. G. Lagoudakis , T. Ostatnicky , A. V. Kavokin , Y. G. Rubo , R. Andre , B. Deveaud-Pledran

We derive, from the Gross-Pitaevskii equation, an exact expression for the velocity of any vortex in a Bose-Einstein condensate, in equilibrium or not, in terms of the condensate wave function at the center of the vortex. In general, the…

Other Condensed Matter · Physics 2009-11-11 Halvor M. Nilsen , Gordon Baym , C. J. Pethick

We investigate the problem of forces on moving vortex in a superfluid or superconductor. The main purpose is to locate the source which leads to the contradictory results in the literature. We establish the connection between this problem…

Condensed Matter · Physics 2016-08-31 X. -M. Zhu , P. Ao

We experimentally and numerically study the collapse dynamics of a quantum vortex in a two-dimensional atomic superfluid following a fast interaction ramp from repulsion to attraction. We find the conditions and time scales for a superfluid…

A statistical model is advanced for describing quantum turbulence in a superfluid system with Bose-Einstein condensate. Such a turbulent superfluid can be realized for trapped Bose atoms subject to either an alternating trapping potential…

Quantum Gases · Physics 2015-05-19 V. I. Yukalov

We derive an explicit relationship between the moment of inertia and the quadrupole response function of an interacting gas confined in a harmonic trap. The relationship holds for both Bose and Fermi systems and is well suited to reveal the…

Condensed Matter · Physics 2009-10-31 Francesca Zambelli , Sandro Stringari

The question of whether a Bose solid has a superfluid fraction is discussed. We confirm and expand on the remark of Chester that quantum fluctuations make this inevitable, roughly estimate its magnitude, and show that true rigid rotation…

Statistical Mechanics · Physics 2007-05-23 Philip Anderson

We calculate the characteristic length scale of a vortex line in a dilute, superfluid gas of fermionic atoms, and find that it is in general smaller, and has a weaker density dependence than the BCS coherence length. Taking this into…

Statistical Mechanics · Physics 2007-05-23 O. Elgaroy

We have analyzed a single vortex at T=0 in a 3D superfluid atomic Fermi gas across a Feshbach resonance. On the BCS side, the order parameter varies on two scales: $k_{F}^{-1}$ and the coherence length $\xi$, while only variation on the…

Superconductivity · Physics 2011-09-28 R. Sensarma , M. Randeria , T. L. Ho

We calculate the overlap between two many-body wave functions for a superfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point particles, we find that the…

Condensed Matter · Physics 2007-05-23 Q. NIu , P. Ao , D. J. Thouless

We calculate the overlap between two many-body wave functions for a superfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point particles, we find that the…

Condensed Matter · Physics 2009-10-22 Q. Niu , P. Ao , D. J. Thouless

We revise the Thomas-Fermi approximation for describing vortex states in Bose condensates of magnetically trapped atoms. Our approach is based on considering the hbar -> 0 limit rather than the N -> infinity limit as Thomas-Fermi…

Condensed Matter · Physics 2009-11-07 M. Urban , P. Schuck , X. Vinas