425 research outputs found
Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
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: and the coherence length , while only variation on
the scale of is seen away from the BCS limit. The circulating current has
a peak value which is a non-monotonic function of
implying a maximum critical velocity at unitarity. The number of
fermionic bound states in the core decreases as we move from the BCS to BEC
regime. Remarkably, a bound state branch persists even on the BEC side
reflecting the composite nature of bosonic molecules.Comment: 4 Pages, 4 Figure
Collective modes of trapped gases at the BEC-BCS crossover
The collective mode frequencies in isotropic and deformed traps are
calculated for general polytropic equation of states, ,
and expressed in terms of and the trap geometry. For molecular and
standard Bose-Einstein condensates and Fermi gases near Feshbach resonances,
the effective power is calculated from Jastrow type
wave-function ans\"atze, and from the crossover model of Leggett. The resulting
mode frequencies are calculated for these phases around the BCS-BEC crossover.Comment: Revised version to be published in PR
Superfluidity in Three-species Mixture of Fermi Gases across Feshbach Resonances
In this letter a generalization of the BEC-BCS crossover theory to a
multicomponent superfluid is presented by studying a three-species mixture of
Fermi gas across two Feshbach resonances. At the BEC side of resonances, two
kinds of molecules are stable which gives rise to a two-component Bose
condensate. This two-component superfluid state can be experimentally
identified from the radio-frequency spectroscopy, density profile and short
noise measurements. As approaching the BCS side of resonances, the
superfluidity will break down at some point and yield a first-order quantum
phase transition to normal state, due to the mismatch of three Fermi surfaces.
Phase separation instability will occur around the critical regime.Comment: 4 pages, 3 figures, revised versio
Laser cooling all the way down to molecular condensate
Numerical simulations show that laser cooling of fermions on the repulsive
side of the Feshbach resonance can sympathetically cool molecules well below
their condensation temperature.Comment: 7 pages, 2 .eps figure
First Order Superfluid to Bose Metal Transition in Systems with Resonant Pairing
Systems showing resonant superfluidity, driven by an exchange coupling of
strength between uncorrelated pairs of itinerant fermions and tightly bound
ones, undergo a first order phase transition as increases beyond some
critical value . The superfluid phase for is characterized by
a gap in the fermionic single particle spectrum and an acoustic sound-wave like
collective mode of the bosonic resonating fermion pairs inside this gap. For
this state gives way to a phase uncorrelated bosonic liquid with a
spectrum.Comment: 5 pages, 3 figure
Universal Properties of the Ultra-Cold Fermi Gas
We present some general considerations on the properties of a two-component
ultra-cold Fermi gas along the BEC-BCS crossover. It is shown that the
interaction energy and the ground state energy can be written in terms of a
single dimensionless function , where and
. The function incorporates all the many-body physics
and naturally occurs in other physical quantities as well. In particular, we
show that the RF-spectroscopy shift \bar{\d\o}(\xi,\tau) and the molecular
fraction in the closed channel can be expressed in terms of
and thus have identical temperature dependence. The conclusions
should have testable consequences in future experiments
Can one determine the underlying Fermi surface in the superconducting state of strongly correlated superconductors?
The question of determining the underlying Fermi surface (FS) that is gapped
by superconductivity (SC) is of central importance in strongly correlated
systems, particularly in view of angle-resolved photoemission experiments. Here
we explore various definitions of the FS in the superconducting state using the
zero-energy Green's function, the excitation spectrum and the momentum
distribution. We examine (a) d-wave SC in high Tc cuprates, and (b) the s-wave
superfluid in the BCS-BEC crossover. In each case we show that the various
definitions agree, to a large extent, but all of them violate the Luttinger
count and do not enclose the total electron density. We discuss the important
role of chemical potential renormalization and incoherent spectral weight in
this violation.Comment: 4 pages, 4 figures, version 3, Added new figures, detailed discussion
of result
Quantum phase transitions in the Fermi-Bose Hubbard model
We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson
conversion and general filling factor in three dimensions. Such a Hamiltonian
models an atomic Fermi gas trapped in a lattice potential and subject to a
Feshbach resonance. We solve this model in the two state approximation for
paired fermions at zero temperature. The problem then maps onto a coupled
Heisenberg spin model. In the limit of large positive and negative detuning,
the quantum phase transitions in the Bose Hubbard and Paired-Fermi Hubbard
models are correctly reproduced. Near resonance, the Mott states are given by a
superposition of the paired-fermion and boson fields and the Mott-superfluid
borders go through an avoided crossing in the phase diagram.Comment: 4 pages, 3 figure
From Cooper Pairs to Composite Bosons: A Generalized RPA Analysis of Collective Excitations
The evolution of the ground state and the excitation spectrum of the two and
three dimensional attractive Hubbard model is studied as the system evolves
from a Cooper pair regime for weak attraction to a composite boson regime for a
strong attraction.Comment: 20 pages RevTex, 7 figures on reques
Deviations from Fermi-liquid behavior above in 2D short coherence length superconductors
We show that there are qualitative differences between the temperature
dependence of the spin and charge correlations in the normal state of the 2D
attractive Hubbard model using quantum Monte Carlo simulations. The
one-particle density of states shows a pseudogap above \tc with a depleted
with decreasing . The susceptibility \cs and the low frequency spin
spectral weight track , which explains the spin-gap scaling: 1/T_1T \sim
\cs(T). However the charge channel is dominated by collective behavior and the
compressibility is -independent. This anomalous ``spin-charge
separation'' is shown to exist even at intermediate where the momentum
distribution n(\bk) gives evidence for degenerate Fermi system.Comment: 4 pages (twocolumn format), 5 Postscript figure
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