13 research outputs found
Equilibrium Properties of a Trapped Dipolar Fermion at Finite Temperatures
We study the equilibrium properties of a dipolar Fermi gas at finite
temperatures. We introduce a variational ansatz for the phase-space
distribution function that can describe the deformation in both real and
momentum space. The effect of dipole--dipole interactions on the thermal
equilibrium is discussed with particular emphasis on the deformation in
momentum space. We examine the stability of the system by varying the
temperature, trap aspect ratio, and the dipole moment. In addition, we discuss
how the deformation in both real and momentum space can be observed in the
high-temperature regime.Comment: 7 pages, 5 figure
Phase space deformation of a trapped dipolar Fermi gas
We consider a system of quantum degenerate spin polarized fermions in a
harmonic trap at zero temperature, interacting via dipole-dipole forces. We
introduce a variational Wigner function to describe the deformation and
compression of the Fermi gas in phase space and use it to examine the stability
of the system. We emphasize the important roles played by the Fock exchange
term of the dipolar interaction which results in a non-spherical Fermi surface.Comment: 5 pages, 5 figure
p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
We consider a system of repulsively interacting Bose-Fermi mixtures of spin
polarized uniform atomic gases at zero temperature. We examine possible
realization of p-wave superfluidity of fermions due to an effective attractive
interaction via density fluctuations of Bose-Einstein condensate within
mean-field approximation. We find the ground state of the system by direct
energy comparison of p-wave superfluid and phase-separated states, and suggest
an occurrence of the p-wave superfluid for a strong boson-fermion interaction
regime. We study some signatures in the p-wave superfluid phase, such as
anisotropic energy gap and quasi-particle energy in the axial state, that have
not been observed in spin unpolarized superfluid of atomic fermions. We also
show that a Cooper pair is a tightly bound state like a diatomic molecule in
the strong boson-fermion coupling regime and suggest an observable indication
of the p-wave superfluid in the real experiment.Comment: 7 pages, 6 figur
Peierls instability, periodic Bose-Einstein condensates and density waves in quasi-one-dimensional boson-fermion mixtures of atomic gases
We study the quasi-one-dimensional (Q1D) spin-polarized bose-fermi mixture of
atomic gases at zero temperature. Bosonic excitation spectra are calculated in
random phase approximation on the ground state with the uniform BEC, and the
Peierls instabilities are shown to appear in bosonic collective excitation
modes with wave-number by the coupling between the Bogoliubov-phonon
mode of bosonic atoms and the fermion particle-hole excitations. The
ground-state properties are calculated in the variational method, and,
corresponding to the Peierls instability, the state with a periodic BEC and
fermionic density waves with the period are shown to have a lower
energy than the uniform one. We also briefly discuss the Q1D system confined in
a harmonic oscillator (HO) potential and derive the Peierls instability
condition for it.Comment: 9 pages, 3figure
Density wave instability in a 2D dipolar Fermi gas
We consider a uniform dipolar Fermi gas in two-dimensions (2D) where the
dipole moments of fermions are aligned by an orientable external field. We
obtain the ground state of the gas in Hartree-Fock approximation and
investigate RPA stability against density fluctuations of finite momentum. It
is shown that the density wave instability takes place in a broad region where
the system is stable against collapse. We also find that the critical
temperature can be a significant fraction of Fermi temperature for a realistic
system of polar molecules.Comment: 10 figure
Exact Analysis of Soliton Dynamics in Spinor Bose-Einstein Condensates
We propose an integrable model of a multicomponent spinor Bose-Einstein
condensate in one dimension, which allows an exact description of the dynamics
of bright solitons with spin degrees of freedom. We consider specifically an
atomic condensate in the F=1 hyperfine state confined by an optical dipole
trap. When the mean-field interaction is attractive (c_0 < 0) and the
spin-exchange interaction of a spinor condensate is ferromagnetic (c_2 < 0), we
prove that the system possesses a completely integrable point leading to the
existence of multiple bright solitons. By applying results from the inverse
scattering method, we analyze a collision law for two-soliton solutions and
find that the dynamics can be explained in terms of the spin precession.Comment: 4 pages, 2 figure
Boson-Fermion coherence in a spherically symmetric harmonic trap
We consider the photoassociation of a low-density gas of quantum-degenerate
trapped fermionic atoms into bosonic molecules in a spherically symmetric
harmonic potential. For a dilute system and the photoassociation coupling
energy small compared to the level separation of the trap, only those fermions
in the single shell with Fermi energy are coupled to the bosonic molecular
field. Introducing a collective pseudo-spin operator formalism we show that
this system can then be mapped onto the Tavis-Cummings Hamiltonian of quantum
optics, with an additional pairing interaction. By exact diagonalization of the
Hamiltonian, we examine the ground state and low excitations of the Bose-Fermi
system, and study the dynamics of the coherent coupling between atoms and
molecules. In a semiclassical description of the system, the pairing
interaction between fermions is shown to result in a self-trapping transition
in the photoassociation, with a sudden suppression of the coherent oscillations
between atoms and molecules. We also show that the full quantum dynamics of the
system is dominated by quantum fluctuations in the vicinity of the
self-trapping solution.Comment: 16 pages, 14 figure