16 research outputs found
On the stability of Bose-Fermi mixtures
We consider the stability of a mixture of degenerate Bose and Fermi gases.
Even though the bosons effectively repel each other the mixture can still
collapse provided the Bose and Fermi gases attract each other strongly enough.
For a given number of atoms and the strengths of the interactions between them
we find the geometry of a maximally compact trap that supports the stable
mixture. We compare a simple analytical estimation for the critical axial
frequency of the trap with results based on the numerical solution of
hydrodynamic equations for Bose-Fermi mixture.Comment: 4 pages, 3 figure
Quantum multimode model of elastic scattering from Bose Einstein condensates
Mean field approximation treats only coherent aspects of the evolution of a
Bose Einstein condensate. However, in many experiments some atoms scatter out
of the condensate. We study an analytic model of two counter-propagating atomic
Gaussian wavepackets incorporating dynamics of incoherent scattering processes.
Within the model we can treat processes of elastic collision of atoms into the
initially empty modes, and observe how, with growing occupation, the bosonic
enhancement is slowly kicking in. A condition for bosonic enhancement effect is
found in terms of relevant parameters. Scattered atoms form a squeezed state
that can be viewed as a multi-component condensate. Not only are we able to
calculate the dynamics of mode occupation, but also the full statistics of
scattered atoms.Comment: 4 pages, 4 figure
Soliton trains in Bose-Fermi mixtures
We theoretically consider the formation of bright solitons in a mixture of
Bose and Fermi degenerate gases. While we assume the forces between atoms in a
pure Bose component to be effectively repulsive, their character can be changed
from repulsive to attractive in the presence of fermions provided the Bose and
Fermi gases attract each other strongly enough. In such a regime the Bose
component becomes a gas of effectively attractive atoms. Hence, generating
bright solitons in the bosonic gas is possible. Indeed, after a sudden increase
of the strength of attraction between bosons and fermions (realized by using a
Feshbach resonance technique or by firm radial squeezing of both samples)
soliton trains appear in the Bose-Fermi mixture.Comment: 4 pages, 4 figure
Spontaneous emission of atoms via collisions of Bose-Einstein condensates
The widely used Gross-Pitaevskii equation treats only coherent aspects of the
evolution of a Bose-Einstein condensate. However, inevitably some atoms scatter
out of the condensate. We have developed a method, based on the field theory
formulation, describing the dynamics of incoherent processes which are due to
elastic collisions. We can therefore treat processes of spontaneous emission of
atoms into the empty modes, as opposed to stimulated processes, which require
non-zero initial occupation.
In this article we study two counter-propagating plane waves of atoms,
calculating the full dynamics of mode occupation, as well as the statistics of
scattered atoms. The more realistic case of Gaussian wavepackets is also
analyzed.Comment: 5 pages, 2 figure
Quantum Anti-Zeno Effect
We demonstrate that near threshold decay processes may be accelerated by
repeated measurements. Examples include near threshold photodetachment of an
electron from a negative ion, and spontaneous emission in a cavity close to the
cutoff frequency, or in a photon band gap material.Comment: 4 pages, 3 figure
Hydrodynamic excitations of trapped dipolar fermions
A single-component Fermi gas of polarized dipolar particles in a harmonic
trap can undergo a mechanical collapse due to the attractive part of the
dipole-dipole interaction. This phenomenon can be conveniently manipulated by
the shape of the external trapping potential. We investigate the signatures of
the instability by studying the spectrum of low-lying collective excitations of
the system in the hydrodynamic regime. To this end, we employ a time-dependent
variational method as well as exact numerical solutions of the hydrodynamic
equations of the system.Comment: 4 pages, 2 eps figures, final versio
Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
We present a convenient technique describing the condensate in dynamical
equilibrium with the thermal cloud, at temperatures close to the critical one.
We show that the whole isolated system may be viewed as a single classical
field undergoing nonlinear dynamics leading to a steady state. In our procedure
it is the observation process and the finite detection time that allow for
splitting the system into the condensate and the thermal cloud.Comment: 4 pages, 4 eps figures, final versio
Quantum anti-centrifugal force
In a two-dimensional world a free quantum particle of vanishing angular
momentum experiences an attractive force. This force originates from a
modification of the classical centrifugal force due to the wave nature of the
particle. For positive energies the quantum anti-centrifugal force manifests
itself in a bunching of the nodes of the energy wave functions towards the
origin. For negative energies this force is sufficient to create a bound state
in a two-dimensional delta function potential. In a counter-intuitive way the
attractive force pushes the particle away from the location of the delta
function potential. As a consequence, the particle is localized in a
band-shaped domain around the originComment: 8 pages, including three eps figures, submitted to Phys. Rev. A.
Figures substitute
Transparency near a photonic band edge
Published versio
Propagation dynamics in an autoionization medium
Published versio