357 research outputs found
Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
We study the dynamical phase diagram of a dilute Bose-Einstein condensate
(BEC) trapped in a periodic potential. The dynamics is governed by a discrete
non-linear Schr\"odinger equation: intrinsically localized excitations,
including discrete solitons and breathers, can be created even if the BEC's
interatomic potential is repulsive. Furthermore, we analyze the
Anderson-Kasevich experiment [Science 282, 1686 (1998)], pointing out that mean
field effects lead to a coherent destruction of the interwell Bloch
oscillations
On Defect-Mediated Transitions in Bosonic Planar Lattices
We discuss the finite-temperature properties of Bose-Einstein condensates
loaded on a 2D optical lattice. In an experimentally attainable range of
parameters the system is described by the XY model, which undergoes a
Berezinskii-Kosterlitz-Thouless (BKT) transition driven by the vortex pair
unbinding. The interference pattern of the expanding condensates provides the
experimental signature of the BKT transition: near the critical temperature,
the k=0 component of the momentum distribution sharply decreases
Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
The concepts of separability, entanglement, spin-squeezing and Heisenberg
limit are central in the theory of quantum enhanced metrology. In the current
literature, these are well established only in the case of linear
interferometers operating with input quantum states of a known fixed number of
particles. This manuscript generalizes these concepts and extends the quantum
phase estimation theory by taking into account classical and quantum
fluctuations of the particle number. Our analysis concerns most of the current
experiments on precision measurements where the number of particles is known
only in average.Comment: Published versio
Macroscopic Superpositions of Phase States with Bose-Einstein Condensates
Quantum superpositions of macroscopically distinguishable states having
distinct phases can be created with a Bose-Einstein condensate trapped in a
periodic potential. The experimental signature is contained in the phase
distribution of the interference patterns obtained after releasing the traps.
Moreover, in the double well case, this distribution exhibits a dramatic
dependence on the parity of the total number of atoms. We finally show that,
for single well occupations up to a few hundred atoms, the macroscopic quantum
superposition can be robust enough against decoherence to be experimentally
revealable within current technology
A Multi-path Interferometer with Ultracold Atoms Trapped in an Optical Lattice
We study an ultra-cold gas of bosons trapped in a one dimensional
-site optical lattice perturbed by a spatially dependent potential , where the unknown coupling strength is to be estimated. We find that
the measurement uncertainty is bounded by .
For a typical case of a linear potential, the sensitivity improves as ,
which is a result of multiple interferences between the sites -- an advantage
of multi-path interferometers over the two-mode setups. Next, we calculate the
estimation sensitivity for a specific measurement where, after the action of
the potential, the particles are released from the lattice and form an
interference pattern. If the parameter is estimated by a least-square fit of
the average density to the interference pattern, the sensitivity still scales
like for linear potentials and can be further improved by preparing a
properly correlated initial state in the lattice.Comment: 11 pages, 3 fugire
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