64 research outputs found
Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
We derive exact solitonic solutions of a class of Gross-Pitaevskii equations
with time-dependent harmonic trapping potential and interatomic interaction. We
find families of exact single-solitonic, multi-solitonic, and solitary wave
solutions. We show that, with the special case of an oscillating trapping
potential and interatomic interaction, a soliton can be localized indefinitely
at an arbitrary position. The localization is shown to be experimentally
possible for sufficiently long time even with only an oscillating trapping
potential and a constant interatomic interaction.Comment: 19 pages, 11 figures, accepted for publication in J.Phys.
CPT and Other Symmetries in String/M Theory
We initiate a search for non-perturbative consistency conditions in M theory.
Some non-perturbative conditions are already known in Type I theories; we
review these and search for others. We focus principally on possible anomalies
in discrete symmetries. It is generally believed that discrete symmetries in
string theories are gauge symmetries, so anomalies would provide evidence for
inconsistencies. Using the orbifold cosmic string construction, we give some
evidence that the symmetries we study are gauged. We then search for anomalies
in discrete symmetries in a variety of models, both with and without
supersymmetry. In symmetric orbifold models we extend previous searches, and
show in a variety of examples that all anomalies may be canceled by a
Green-Schwarz mechanism. We explore some asymmetric orbifold constructions and
again find that all anomalies may be canceled this way. Then we turn to Type
IIB orientifold models where it is known that even perturbative anomalies are
non-universal. In the examples we study, by combining geometric discrete
symmetries with continuous gauge symmetries, one may define non-anomalous
discrete symmetries already in perturbation theory; in other cases, the
anomalies are universal. Finally, we turn to the question of CPT conservation
in string/M theory. It is well known that CPT is conserved in all string
perturbation expansions; here in a number of examples for which a
non-perturbative formulation is available we provide evidence that it is
conserved exactly.Comment: 52 pages.1 paragraph added in introduction to clarify assumption
Ground state cooling in a bad cavity
We study the mechanical effects of light on an atom trapped in a harmonic
potential when an atomic dipole transition is driven by a laser and it is
strongly coupled to a mode of an optical resonator. We investigate the cooling
dynamics in the bad cavity limit, focussing on the case in which the effective
transition linewidth is smaller than the trap frequency, hence when sideband
cooling could be implemented. We show that quantum correlations between the
mechanical actions of laser and cavity field can lead to an enhancement of the
cooling efficiency with respect to sideband cooling. Such interference effects
are found when the resonator losses prevail over spontaneous decay and over the
rates of the coherent processes characterizing the dynamics.Comment: 6 pages, 5 figures; J. Mod. Opt. (2007
A tentative Replica Study of the Glass Transition
We propose a method to study quantitatively the glass transition in a system
of interacting particles. In spite of the absence of any quenched disorder, we
introduce a replicated version of the hypernetted chain equations. The solution
of these equations, for hard or soft spheres, signals a transition to the glass
phase. However the predicted value of the energy and specific heat in the glass
phase are wrong, calling for an improvement of this method.Comment: 9 pages, four postcript figures attache
Supersymmetry, quark confinement and the harmonic oscillator
We study some quantum systems described by noncanonical commutation relations
formally expressed as [q,p]=ihbar(I + chi H), where H is the associated
(harmonic oscillator-like) Hamiltonian of the system, and chi is a Hermitian
(constant) operator, i.e. [H,chi]=0 . In passing, we also consider a simple
(chi=0 canonical) model, in the framework of a relativistic Klein-Gordon-like
wave equation.Comment: To be published in Journal of Physics A: Mathematical and Theoretical
(2007
Characterisations of Classical and Non-classical states of Quantised Radiation
A new operator based condition for distinguishing classical from
non-classical states of quantised radiation is developed. It exploits the fact
that the normal ordering rule of correspondence to go from classical to quantum
dynamical variables does not in general maintain positivity. It is shown that
the approach naturally leads to distinguishing several layers of increasing
nonclassicality, with more layers as the number of modes increases. A
generalisation of the notion of subpoissonian statistics for two-mode radiation
fields is achieved by analysing completely all correlations and fluctuations in
quadratic combinations of mode annihilation and creation operators conserving
the total photon number. This generalisation is nontrivial and intrinsically
two-mode as it goes beyond all possible single mode projections of the two-mode
field. The nonclassicality of pair coherent states, squeezed vacuum and
squeezed thermal states is analysed and contrasted with one another, comparing
the generalised subpoissonian statistics with extant signatures of nonclassical
behaviour.Comment: 16 pages, Revtex, One postscript Figure compressed and uuencoded
Replaced, minor changes in eq 4.30 and 4.32. no effect on the result
Branonium
We study the bound states of brane/antibrane systems by examining the motion
of a probe antibrane moving in the background fields of N source branes. The
classical system resembles the point-particle central force problem, and the
orbits can be solved by quadrature. Generically the antibrane has orbits which
are not closed on themselves. An important special case occurs for some
Dp-branes moving in three transverse dimensions, in which case the orbits may
be obtained in closed form, giving the standard conic sections but with a
nonstandard time evolution along the orbit. Somewhat surprisingly, in this case
the resulting elliptical orbits are exact solutions, and do not simply apply in
the limit of asymptotically-large separation or non-relativistic velocities.
The orbits eventually decay through the radiation of massless modes into the
bulk and onto the branes, and we estimate this decay time. Applications of
these orbits to cosmology are discussed in a companion paper.Comment: 34 pages, LaTeX, 4 figures, uses JHEP
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