6,425 research outputs found
Phase Transitions in Ultra-Cold Two-Dimensional Bose Gases
We briefly review the theory of Bose-Einstein condensation in the
two-dimensional trapped Bose gas and, in particular the relationship to the
theory of the homogeneous two-dimensional gas and the
Berezinskii-Kosterlitz-Thouless phase. We obtain a phase diagram for the
trapped two-dimensional gas, finding a critical temperature above which the
free energy of a state with a pair of vortices of opposite circulation is lower
than that for a vortex-free Bose-Einstein condensed ground state. We identify
three distinct phases which are, in order of increasing temperature, a phase
coherent Bose-Einstein condensate, a vortex pair plasma with fluctuating
condensate phase and a thermal Bose gas. The thermal activation of
vortex-antivortex pair formation is confirmed using finite-temperature
classical field simulations
Novel Dynamical Resonances in Finite-Temperature Bose-Einstein Condensates
We describe a variety of intriguing mode-coupling effects which can occur in
a confined Bose-Einstein condensed system at finite temperature. These arise
from strong interactions between a condensate fluctuation and resonances of the
thermal cloud yielding strongly non-linear behaviour. We show how these
processes can be affected by altering the aspect ratio of the trap, thereby
changing the relevant mode-matching conditions. We illustrate how direct
driving of the thermal cloud can lead to significant shifts in the excitation
spectrum for a number of modes and provide further experimental scenarios in
which the dramatic behaviour observed for the mode at JILA (Jin {\it et
al.} 1997) can be repeated. Our theoretical description is based on a
successful second-order finite-temperature quantum field theory which includes
the full coupled dynamics of the condensate and thermal cloud and all relevant
finite-size effects
Incoherence of Bose-Einstein condensates at supersonic speeds due to quantum noise
We calculate the effect of quantum noise in supersonic transport of
Bose-Einstein condensates. When an obstacle obstructs the flow of atoms,
quantum fluctuations cause atoms to be scattered incoherently into random
directions. This suppresses the propagation of Cherenkov radiation, creating
quantum turbulence and a crescent of incoherent atoms around the obstacle. We
observe similar dynamics if the BEC is stirred by a laser beam: crescents of
incoherent atoms are emitted from the laser's turning-points. Finally, we
investigate supersonic flow through a disordered potential, and find that the
quantum fluctuations generate an accumulation of incoherent atoms as the
condensate enters the disorder.Comment: 6 pages, 5 figure
Density functional theory of the trapped Fermi gas in the unitary regime
We investigate a density-functional theory (DFT) approach for an unpolarized
trapped dilute Fermi gas in the unitary limit . A reformulation of the recent
work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the
language of fractional exclusion statistics allows us to obtain an estimate of
the universal factor, , in three dimensions (3D), in addition to
providing a systematic treatment of finite- corrections. We show that in 3D,
finite- corrections lead to unphysical values for , thereby
suggesting that a simple DFT applied to a small number of particles may not be
suitable in 3D. We then perform an analogous calculation for the
two-dimensional (2D) system in the infinite-scattering length regime, and
obtain a value of . Owing to the unique properties of the
Thomas-Fermi energy density-functional in 2D our result, in contrast to 3D, is
{\em exact} and therefore requires no finite- corrections
Dynamical Hartree-Fock-Bogoliubov Theory of Vortices in Bose-Einstein Condensates at Finite Temperature
We present a method utilizing the continuity equation for the condensate
density to make predictions of the precessional frequency of single off-axis
vortices and of vortex arrays in Bose-Einstein condensates at finite
temperature. We also present an orthogonalized Hartree-Fock-Bogoliubov (HFB)
formalism. We solve the continuity equation for the condensate density
self-consistently with the orthogonalized HFB equations, and find stationary
solutions in the frame rotating at this frequency. As an example of the utility
of this formalism we obtain time-independent solutions for
quasi-two-dimensional rotating systems in the co-rotating frame. We compare
these results with time-dependent predictions where we simulate stirring of the
condensate.Comment: 13 pages, 11 figures, 1 tabl
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