15 research outputs found
Evolution of fragmented states
We consider the problem of evolution of the many-body state of a weakly
interacting system of bosons in an initially fragmented (Fock) state. We show
that the state at any time can be expressed as a continuous superposition of an
infinite number of Gross-Pitaevskii states.Comment: 4 page
Fidelity for displaced squeezed states and the oscillator semigroup
The fidelity for two displaced squeezed thermal states is computed using the
fact that the corresponding density operators belong to the oscillator
semigroup.Comment: 3 pages, REVTEX, no figures, submitted to Journal of Physics A, May
5, 199
On Bures fidelity of displaced squeezed thermal states
Fidelity plays a key role in quantum information and communication theory.
Fidelity can be interpreted as the probability that a decoded message possesses
the same information content as the message prior to coding and transmission.
In this paper, we give a formula of Bures fidelity for displaced squeezed
thermal states directly by the displacement and squeezing parameters and
birefly discuss how the results can apply to quantum information theory.Comment: 10 pages with RevTex require
Bures distance between two displaced thermal states
The Bures distance between two displaced thermal states and the corresponding
geometric quantities (statistical metric, volume element, scalar curvature) are
computed. Under nonunitary (dissipative) dynamics, the statistical distance
shows the same general features previously reported in the literature by
Braunstein and Milburn for two--state systems. The scalar curvature turns out
to have new interesting properties when compared to the curvature associated
with squeezed thermal states.Comment: 3 pages, RevTeX, no figure
Cooper-pair coherence in a superfluid Fermi-gas of atoms
We study the coherence properties of a trapped two-component gas of fermionic
atoms below the BCS critical temperature. We propose an optical method to
investigate the Cooper-pair coherence across different regions of the
superfluid. Near-resonant laser light is used to induce transitions between the
two coupled hyperfine states. The beam is split so that it probes two spatially
separate regions of the gas. Absorption of the light in this interferometric
scheme depends on the Cooper-pair coherence between the two regions.Comment: 10 pages, 5 figures. Submitted to J. Phys. B as a proceedings of the
Salerno 2001 BEC worksho
Persistent currents in a circular array of Bose-Einstein condensates
A ring-shaped array of Bose-Einstein condensed atomic gases can display
circular currents if the relative phase of neighboring condensates becomes
locked to certain values. It is shown that, irrespective of the mechanism
responsible for generating these states, only a restricted set of currents are
stable, depending on the number of condensates, on the interaction and
tunneling energies, and on the total number of particles. Different
instabilities due to quasiparticle excitations are characterized and possible
experimental setups for testing the stability prediction are also discussed.Comment: 7 pages, REVTex
Robust unravelings for resonance fluorescence
Monitoring the fluorescent radiation of an atom unravels the master equation
evolution by collapsing the atomic state into a pure state which evolves
stochastically. A robust unraveling is one that gives pure states that, on
average, are relatively unaffected by the master equation evolution (which
applies once the monitoring ceases). The ensemble of pure states arising from
the maximally robust unraveling has been suggested to be the most natural way
of representing the system [H.M. Wiseman and J.A. Vaccaro, Phys. Lett. A {\bf
250}, 241 (1998)]. We find that the maximally robust unraveling of a resonantly
driven atom requires an adaptive interferometric measurement proposed by
Wiseman and Toombes [Phys. Rev. A {\bf 60}, 2474 (1999)]. The resultant
ensemble consists of just two pure states which, in the high driving limit, are
close to the eigenstates of the driving Hamiltonian . This
ensemble is the closest thing to a classical limit for a strongly driven atom.
We also find that it is possible to reasonably approximate this ensemble using
just homodyne detection, an example of a continuous Markovian unraveling. This
has implications for other systems, for which it may be necessary in practice
to consider only continuous Markovian unravelings.Comment: 12 pages including 5 .eps figures, plus one .jpg figur
Laser-induced collective excitations in a two-component Fermi gas
We consider the linear density response of a two-component (superfluid) Fermi
gas of atoms when the perturbation is caused by laser light. We show that
various types of laser excitation schemes can be transformed into linear
density perturbations, however, a Bragg spectroscopy scheme is needed for
transferring energy and momentum into a collective mode. This makes other types
of laser probing schemes insensitive for collective excitations and therefore
well suited for the detection of the superfluid order parameter. We show that
for the special case when laser light is coupled between the two components of
the Fermi gas, density response is always absent in a homogeneous system.Comment: 6 pages, no figure
High-Temperature Expansions of Bures and Fisher Information Priors
For certain infinite and finite-dimensional thermal systems, we obtain ---
incorporating quantum-theoretic considerations into Bayesian thermostatistical
investigations of Lavenda --- high-temperature expansions of priors over
inverse temperature beta induced by volume elements ("quantum Jeffreys' priors)
of Bures metrics. Similarly to Lavenda's results based on volume elements
(Jeffreys' priors) of (classical) Fisher information metrics, we find that in
the limit beta -> 0, the quantum-theoretic priors either conform to Jeffreys'
rule for variables over [0,infinity], by being proportional to 1/beta, or to
the Bayes-Laplace principle of insufficient reason, by being constant. Whether
a system adheres to one rule or to the other appears to depend upon its number
of degrees of freedom.Comment: Six pages, LaTeX. The title has been shortened (and then further
modified), at the suggestion of a colleague. Other minor change
Selection of squeezed states via decoherence
In the framework of Lindblad theory for open quantum systems, we
calculate the entropy of a damped quantum harmonic oscillator which is
initially in a quasi-free state. The maximally predictable states are identified as those states
producing the minimum entropy increase after a long enough time. In general, the states with a
squeezing parameter depending on the environment's diffusion coefficients and friction constant are
singled out, but if the friction constant is much smaller than the oscillator's frequency, coherent
states (or thermalized coherent states) are obtained as the preferred classical states