130 research outputs found
Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
A rapidly rotating Bose-Einstein condensate in a symmetric two-dimensional
trap can be described with the lowest Landau-level set of states. In this case,
the condensate wave function psi(x,y) is a Gaussian function of r^2 = x^2 +
y^2, multiplied by an analytic function P(z) of the single complex variable z=
x+ i y; the zeros of P(z) denote the positions of the vortices. Here, a similar
description is used for a rapidly rotating anisotropic two-dimensional trap
with arbitrary anisotropy (omega_x/omega_y le 1). The corresponding condensate
wave function psi(x,y) has the form of a complex anisotropic Gaussian with a
phase proportional to xy, multiplied by an analytic function P(zeta), where
zeta is proportional to x + i beta_- y and 0 le beta_- le 1 is a real parameter
that depends on the trap anisotropy and the rotation frequency. The zeros of
P(zeta) again fix the locations of the vortices. Within the set of lowest
Landau-level states at zero temperature, an anisotropic parabolic density
profile provides an absolute minimum for the energy, with the vortex density
decreasing slowly and anisotropically away from the trap center.Comment: 13 pages, 1 figur
Density and spin response functions in ultracold fermionic atom gases
We propose a new method of detecting the onset of superfluidity in a
two-component ultracold fermionic gas of atoms governed by an attractive
short-range interaction. By studying the two-body correlation functions we find
that a measurement of the momentum distribution of the density and spin
response functions allows one to access separately the normal and anomalous
densities. The change in sign at low momentum transfer of the density response
function signals the transition between a BEC and a BCS regimes, characterized
by small and large pairs, respectively. This change in sign of the density
response function represents an unambiguous signature of the BEC to BCS
crossover. Also, we predict spin rotational symmetry-breaking in this system
Inequivalent representations of commutator or anticommutator rings of field operators and their applications
Hamiltonian of a system in quantum field theory can give rise to infinitely
many partition functions which correspond to infinitely many inequivalent
representations of the canonical commutator or anticommutator rings of field
operators. This implies that the system can theoretically exist in infinitely
many Gibbs states. The system resides in the Gibbs state which corresponds to
its minimal Helmholtz free energy at a given range of the thermodynamic
variables. Individual inequivalent representations are associated with
different thermodynamic phases of the system. The BCS Hamiltonian of
superconductivity is chosen to be an explicit example for the demonstration of
the important role of inequivalent representations in practical applications.
Its analysis from the inequivalent representations' point of view has led to a
recognition of a novel type of the superconducting phase transition.Comment: 25 pages, 6 figure
Bogoliubov Quasiparticle Excitations in the Two-Dimensional t-J Model
Using a proposed numerical technique for calculating anomalous Green's
functions characteristic of superconductivity, we show that the low-lying
excitations in a wide parameter and doping region of the two-dimensional
model are well described by the picture of dressed Bogoliubov
quasiparticles in the BCS pairing theory. The pairing occurs predominantly in
-wave channel and the energy gap has a size
between quarter and half fillings. Opening of
the superconducting gap in the photoemission and inverse-photoemission spectrum
is demonstrated.Comment: 6 pages, RevTe
The Coherence Field in the Field Perturbation Theory of Superconductivity
We re-examine the Nambu-Gorkov perturbation theory of superconductivity on
the basis of the Bogoliubov-Valatin quasi-particles. We show that two different
fields (and two additional analogous fields) may be constructed, and that the
Nambu field is only one of them. For the other field- the coherence field- the
interaction is given by means of two interaction vertices that are based on the
Pauli matrices tau1 and tau3. Consequently, the Hartree integral for the
off-diagonal pairing self-energy may be finite, and in some cases large. We
interpret the results in terms of conventional superconductivity, and also
discuss briefly possible implications to HTSC
Quantum Field Theory of Meson Mixing
We have developed a quantum field theoretic framework for scalar and
pseudoscalar meson mixing and oscillations in time. The unitary inequivalence
of the Fock space of base (unmixed) eigenstates and the physical mixed
eigenstates is proven and shown to lead to a rich condensate structure. This is
exploited to develop formulas for two flavor boson oscillations in systems of
arbitrary boson occupation number. The mixing and oscillation can be understood
in terms of vacuum condensate which interacts with the bare particles to induce
non-trivial effects. We apply these formulas to analyze the mixing of
with and comment on the system. In addition, we consider the
mixing of boson coherent states, which may have future applications in the
construction of meson lasers.Comment: 12 pages, 3 figures; Eqs.(10-12) corrected, leading to new physical
insights; added paragraph under Eq.(24) explaining physical interpretation of
mixing in terms of vacuum condensation; references added and minor typo
correcte
Resonance superfluidity in a quantum degenerate Fermi gas
We consider the superfluid phase transition that arises when a Feshbach
resonance pairing occurs in a dilute Fermi gas. We apply our theory to consider
a specific resonance in potassium-40, and find that for achievable experimental
conditions, the transition to a superfluid phase is possible at the high
critical temperature of about 0.5 T_F. Observation of superfluidity in this
regime would provide the opportunity to experimentally study the crossover from
the superfluid phase of weakly-coupled fermions to the Bose-Einstein
condensation of strongly-bound composite bosons.Comment: 4 pages, 3 figure
Dynamical moment of inertia and quadrupole vibrations in rotating nuclei
The contribution of quantum shape fluctuations to inertial properties of
rotating nuclei has been analysed within the self-consistent one-dimensional
cranking oscillator model. It is shown that in even-even nuclei the dynamical
moment of inertia calculated in the mean field approximation is equivalent to
the Thouless-Valatin moment of inertia calculated in the random phase
approximation if and only if the self-consistent conditions for the mean field
are fulfilled.Comment: 4 pages, 2 figure
A New Interpretation of Flux Quantization
We study the effect of Aharonov-Bohm flux on the superconducting state in
metallic cylinders. Although Byers and Yang attributed flux quantization to the
flux-dependent minimum of kinetic energies of the Cooper pairs, it is shown
that kinetic energies do not produce any discernible oscillations in the free
energy of the superconducting state (relative to that of normal state) as a
function of the flux. This result is indeed anticipated by the observation of
persistent current in normal metal rings at low temperature. Instead, we have
found that pairing interaction depends on the flux, leading to flux
quantization. When the flux ) is given by (with
integer n), the pairing interaction and the free energy become unchanged (even
n) or almost unchanged (odd n), due to degenerate-state pairing resulting from
the energy level crossing. As a result, flux quantization and Little-Parks
oscillations follow.Comment: Revtex, 10 pages, 6 figures, For more information, send me an e-mail
at [email protected]
Four-particle condensate in strongly coupled fermion systems
Four-particle correlations in fermion systems at finite temperatures are
investigated with special attention to the formation of a condensate. Instead
of the instability of the normal state with respect to the onset of pairing
described by the Gorkov equation, a new equation is obtained which describes
the onset of quartetting. Within a model calculation for symmetric nuclear
matter, we find that below a critical density, the four-particle condensation
(alpha-like quartetting) is favored over deuteron condensation (triplet
pairing). This pairing-quartetting competition is expected to be a general
feature of interacting fermion systems, such as the excition-biexciton system
in excited semiconductors. Possible experimental consequences are pointed out.Comment: LaTeX, 11 pages, 2 figures, uses psfig.sty (included), to be
published in Phys. Rev. Lett., tentatively scheduled for 13 April 1998
(Volume 80, Number 15
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