1,008 research outputs found
Exact characterization of O(n) tricriticality in two dimensions
We propose exact expressions for the conformal anomaly and for three critical
exponents of the tricritical O(n) loop model as a function of n in the range
. These findings are based on an analogy with known
relations between Potts and O(n) models, and on an exact solution of a
'tri-tricritical' Potts model described in the literature. We verify the exact
expressions for the tricritical O(n) model by means of a finite-size scaling
analysis based on numerical transfer-matrix calculations.Comment: submitted to Phys. Rev. Let
Resonances for coupled Bose-Einstein Condensates
We study some effects arising from periodic modulation of the asymmetry and
the barrier height of a two-well potential containing a Bose-Einstein
condensate. At certain modulation frequencies the system exhibits resonances,
which may lead to enhancement of the tunneling rate between the wells and which
can be used to control the particle distribution among the wells. Some of the
effects predicted for a two-well system can be carried over to the case of a
Bose-Einstein condensate in an optical lattice
Angular spectrum of quantized light beams
We introduce a generalized angular spectrum representation for quantized
light beams. By using our formalism, we are able to derive simple expressions
for the electromagnetic vector potential operator in the case of: {a)}
time-independent paraxial fields, {b)} time-dependent paraxial fields, and {c)}
non-paraxial fields. For the first case, the well known paraxial results are
fully recovered.Comment: 3 pages, no figure
Modes of a rotating astigmatic optical cavity
Nuevamente sacado Ă luz, y de muchos errores purgadoMarca tip. en port.Texto a dos columnasDatos de ed. preceden a "segunda parte
Analogy between a two-well Bose-Einstein condensate and atom diffraction
We compare the dynamics of a Bose-Einstein condensate in two coupled potential wells with atoms diffracting from a standing light wave. The corresponding Hamiltonians have an identical appearance, but with a different set of commutation rules. Well-known diffraction phenomena as Pendellosung oscillations between opposite momenta in the case of Bragg diffraction, and adiabatic transitions between momentum states are shown to have analogies in the two-well case. They represent the collective exchange of a fixed number of atoms between the wells
Phase dynamics of a multimode Bose condensate controlled by decay
The relative phase between two uncoupled BE condensates tends to attain a
specific value when the phase is measured. This can be done by observing their
decay products in interference. We discuss exactly solvable models for this
process in cases where competing observation channels drive the phases to
different sets of values. We treat the case of two modes which both emit into
the input ports of two beam splitters, and of a linear or circular chain of
modes. In these latter cases, the transitivity of relative phase becomes an
issue
Diffraction and trapping in circular lattices
When a single two-level atom interacts with a pair of Laguerre-Gaussian beams
with opposite helicity, this leads to an efficient exchange of angular momentum
between the light field and the atom. When the radial motion is trapped by an
additional potential, the wave function of a single localized atom can be split
into components that rotate in opposite direction. This suggests a novel scheme
for atom interferometry without mirror pulses. Also atoms in this configuration
can be bound into a circular lattice
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