2,738 research outputs found
Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
Landau's description of the excitations in a macroscopic system in terms of
quasiparticles stands out as one of the highlights in quantum physics. It
provides an accurate description of otherwise prohibitively complex many-body
systems, and has led to the development of several key technologies. In this
paper, we investigate theoretically the Landau effective interaction between
quasiparticles, so-called Bose polarons, formed by impurity particles immersed
in a Bose-Einstein condensate (BEC). In the limit of weak interactions between
the impurities and the BEC, we derive rigorous results for the effective
interaction. They show that it can be strong even for weak impurity-boson
interaction, if the transferred momentum/energy between the quasiparticles is
resonant with a sound mode in the BEC. We then develop a diagrammatic scheme to
calculate the effective interaction for arbitrary coupling strengths, which
recovers the correct weak coupling results. Using this, we show that the Landau
effective interaction in general is significantly stronger than that between
quasiparticles in a Fermi gas, mainly because a BEC is more compressible than a
Fermi gas. The interaction is particularly large near the unitarity limit of
the impurity-boson scattering, or when the quasiparticle momentum is close to
the threshold for momentum relaxation in the BEC. Finally, we show how the
Landau effective interaction leads to a sizeable shift of the quasiparticle
energy with increasing impurity concentration, which should be detectable with
present day experimental techniques.Comment: 12 page
Feshbach Resonances and Medium Effects in ultracold atomic Gases
We develop an effective low energy theory for multi-channel scattering of
cold atomic alkali atoms with particular focus on Feshbach resonances. The
scattering matrix is expressed in terms of observables only and the theory
allows for the inclusion of many-body effects both in the open and in the
closed channels.
We then consider the frequency and damping of collective modes for Fermi
gases and demonstrate how medium effects significantly increase the scattering
rate determining the nature of the modes. Our results obtained with no fitting
parameters are shown to compare well with experimental data.Comment: Presented at the 5th workshop on Critical Stability, Erice, Italy
13-17 October 2008. 8 pages, 3 figures. Figure caption correcte
Clock shifts in a Fermi gas interacting with a minority component: a soluble model
We consider the absorption spectrum of a Fermi gas mixed with a minority
species when majority fermions are transferred to another internal state by an
external probe. In the limit when the minority species is much more massive
than the majority one, we show that the minority species may be treated as
static impurities and the problem can be solved in closed form. The analytical
results bring out the importance of vertex corrections, which change
qualitatively the nature of the absorption spectrum. It is demonstrated that
large line shifts are not associated with resonant interactions in general. We
also show that the commonly used ladder approximation fails when the majority
component is degenerate for large mass ratios between the minority and majority
species and that bubble diagrams, which correspond to the creation of many
particle--hole pairs, must be taken into account. We carry out detailed
numerical calculations, which confirm the analytical insights and we point out
the connection to shadowing phenomena in nuclear physics.Comment: 8 pages, 4 figures, NORDITA-2010-
An effective theory of Feshbach resonances and many-body properties of Fermi gases
For calculating low-energy properties of a dilute gas of atoms interacting
via a Feshbach resonance, we develop an effective theory in which the
parameters that enter are an atom-molecule coupling strength and the magnetic
moment of the molecular resonance. We demonstrate that for resonances in the
fermionic systems Li and K that are under experimental
investigation, the coupling is so strong that many-body effects are appreciable
even when the resonance lies at an energy large compared with the Fermi energy.
We calculate a number of many-body effects, including the effective mass and
the lifetime of atomic quasiparticles in the gas.Comment: 4 pages, 1 figure, NORDITA-2003-21 C
Bragg Spectroscopy of Cold Atomic Fermi Gases
We propose a Bragg spectroscopy experiment to measure the onset of superfluid
pairing in ultracold trapped Fermi gases. In particular, we study two component
Fermi gases in the weak coupling BCS and BEC limits as well as in the strong
coupling unitarity limit. The low temperature Bragg spectrum exhibits a gap
directly related to the pair-breaking energy. Furthermore, the Bragg spectrum
has a large maximum just below the critical temperature when the gas is
superfluid in the BCS limit. In the unitarity regime, we show how the pseudogap
in the normal phase leads to a significant suppression of the low frequency
Bragg spectrum.Comment: 8 pages, 9 figures. Typos corrected. Reference update
Spin Excitations in a Fermi Gas of Atoms
We have experimentally investigated a spin excitation in a quantum degenerate
Fermi gas of atoms. In the hydrodynamic regime the damping time of the
collective excitation is used to probe the quantum behavior of the gas. At
temperatures below the Fermi temperature we measure up to a factor of 2
reduction in the excitation damping time. In addition we observe a strong
excitation energy dependence for this quantum statistical effect.Comment: 4 pages, 3 figure
Hartree-Fock-Bogoliubov theory versus local-density approximation for superfluid trapped fermionic atoms
We investigate a gas of superfluid fermionic atoms trapped in two hyperfine
states by a spherical harmonic potential. We propose a new regularization
method to remove the ultraviolet divergence in the Hartree-Fock-Bogoliubov
equations caused by the use of a zero-range atom-atom interaction. Compared
with a method used in the literature, our method is simpler and has improved
convergence properties. Then we compare Hartree-Fock-Bogoliubov calculations
with the semiclassical local-density approximation. We observe that for systems
containing a small number of atoms shell effects, which cannot be reproduced by
the semiclassical calculation, are very important. For systems with a large
number of atoms at zero temperature the two calculations are in quite good
agreement, which, however, is deteriorated at non-zero temperature, especially
near the critical temperature. In this case the different behavior can be
explained within the Ginzburg-Landau theory.Comment: 12 pages, 8 figures, revtex; v2: references and clarifying remarks
adde
Laser probing of Cooper-paired trapped atoms
We consider a gas of trapped Cooper-paired fermionic atoms which are
manipulated by laser light. The laser induces a transition from an internal
state with large negative scattering length (superfluid) to one with weaker
interactions (normal gas). We show that the process can be used to detect the
presence of the superconducting order parameter. Also, we propose a direct way
of measuring the size of the gap in the trap. The efficiency and feasibility of
this probing method is investigated in detail in different physical situations.Comment: 9 pages, 8 figure
Pairing of fermions in atomic traps and nuclei
Pairing gaps for fermionic atoms in harmonic oscillator traps are calculated
for a wide range of interaction strengths and particle number, and compared to
pairing in nuclei. Especially systems, where the pairing gap exceeds the level
spacing but is smaller than the shell splitting , are studied
which applies to most trapped Fermi atomic systems as well as to finite nuclei.
When solving the gap equation for a large trap with such multi-level pairing,
one finds that the matrix elements between nearby harmonic oscillator levels
and the quasi-particle energies lead to a double logarithm of the gap, and a
pronounced shell structure at magic numbers. It is argued that neutron and
proton pairing in nuclei belongs to the class of multi-level pairing, that
their shell structure follows naturally and that the gaps scale as - all in qualitative agreement with odd-even staggering of nuclear
binding energies. Pairing in large systems are related to that in the bulk
limit. For large nuclei the neutron and proton superfluid gaps approach the
asymptotic value in infinite nuclear matter: MeV.Comment: 11 pages, 5 figure
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