2,480 research outputs found
Ultracold atomic Fermi-Bose mixtures in bichromatic optical dipole traps: a novel route to study fermion superfluidity
The study of low density, ultracold atomic Fermi gases is a promising avenue
to understand fermion superfluidity from first principles. One technique
currently used to bring Fermi gases in the degenerate regime is sympathetic
cooling through a reservoir made of an ultracold Bose gas. We discuss a
proposal for trapping and cooling of two-species Fermi-Bose mixtures into
optical dipole traps made from combinations of laser beams having two different
wavelengths. In these bichromatic traps it is possible, by a proper choice of
the relative laser powers, to selectively trap the two species in such a way
that fermions experience a stronger confinement than bosons. As a consequence,
a deep Fermi degeneracy can be reached having at the same time a softer
degenerate regime for the Bose gas. This leads to an increase in the
sympathetic cooling efficiency and allows for higher precision thermometry of
the Fermi-Bose mixture
Asymptotic lower bound for the gap of Hermitian matrices having ergodic ground states and infinitesimal off-diagonal elements
Given a Hermitian matrix with possibly degenerate
eigenvalues , we provide,
in the limit , a lower bound for the gap assuming that (i) the eigenvector (eigenvectors) associated to
is ergodic (are all ergodic) and (ii) the off-diagonal terms of
vanish for more slowly than . Under these
hypotheses, we find . This general result turns out to be important for
upper bounding the relaxation time of linear master equations characterized by
a matrix equal, or isospectral, to . As an application, we
consider symmetric random walks with infinitesimal jump rates and show that the
relaxation time is upper bounded by the configurations (or nodes) with minimal
degree.Comment: 5 page
Exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit
By using a recently proposed probabilistic approach, we determine the exact
ground state of a class of matrix Hamiltonian models characterized by the fact
that in the thermodynamic limit the multiplicities of the potential values
assumed by the system during its evolution are distributed according to a
multinomial probability density. The class includes i) the uniformly fully
connected models, namely a collection of states all connected with equal
hopping coefficients and in the presence of a potential operator with arbitrary
levels and degeneracies, and ii) the random potential systems, in which the
hopping operator is generic and arbitrary potential levels are assigned
randomly to the states with arbitrary probabilities. For this class of models
we find a universal thermodynamic limit characterized only by the levels of the
potential, rescaled by the ground-state energy of the system for zero
potential, and by the corresponding degeneracies (probabilities). If the
degeneracy (probability) of the lowest potential level tends to zero, the
ground state of the system undergoes a quantum phase transition between a
normal phase and a frozen phase with zero hopping energy. In the frozen phase
the ground state condensates into the subspace spanned by the states of the
system associated with the lowest potential level.Comment: 31 pages, 13 figure
Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion
We present a large deviation analysis of a recently proposed probabilistic
approach to the study of the ground-state properties of lattice quantum
systems. The ground-state energy, as well as the correlation functions in the
ground state, are exactly determined as a series expansion in the cumulants of
the multiplicities of the potential and hopping energies assumed by the system
during its long-time evolution. Once these cumulants are known, even at a
finite order, our approach provides the ground state analytically as a function
of the Hamiltonian parameters. A scenario of possible applications of this
analyticity property is discussed.Comment: 26 pages, 5 figure
Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison
A cosmological model with a cyclic interpretation is introduced, which is
subject to quantum back-reaction and yet can be treated rather completely by
physical coherent state as well as effective constraint techniques. By this
comparison, the role of quantum back-reaction in quantum cosmology is
unambiguously demonstrated. Also the complementary nature of strengths and
weaknesses of the two procedures is illustrated. Finally, effective constraint
techniques are applied to a more realistic model filled with radiation, where
physical coherent states are not available.Comment: 32 pages, 25 figure
Chaotic properties of quantum many-body systems in the thermodynamic limit
By using numerical simulations, we investigate the dynamics of a quantum
system of interacting bosons. We find an increase of properly defined mixing
properties when the number of particles increases at constant density or the
interaction strength drives the system away from integrability. A
correspondence with the dynamical chaoticity of an associated -number system
is then used to infer properties of the quantum system in the thermodynamic
limit.Comment: 4 pages RevTeX, 4 postscript figures included with psfig; Completely
restructured version with new results on mixing properties added
Cooling dynamics of ultracold two-species Fermi-Bose mixtures
We compare strategies for evaporative and sympathetic cooling of two-species
Fermi-Bose mixtures in single-color and two-color optical dipole traps. We show
that in the latter case a large heat capacity of the bosonic species can be
maintained during the entire cooling process. This could allow to efficiently
achieve a deep Fermi degeneracy regime having at the same time a significant
thermal fraction for the Bose gas, crucial for a precise thermometry of the
mixture. Two possible signatures of a superfluid phase transition for the Fermi
species are discussed.Comment: 4 pages, 3 figure
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