10,002 research outputs found
Spontaneous Vortex Lattices in Quasi 2D Dipolar Spinor Condensates
Motivated by recent experiments\cite{BA}\cite{BB}, we study quasi 2D
ferromagnetic condensates with various aspect ratios. We find that in zero
magnetic field, dipolar energy generates a local energy minimum with all the
spins lie in the 2D plane forming a row of {\em circular} spin textures with
{\em alternating} orientation, corresponding to a packing of vortices of {\em
identical} vorticity in different spin components. In a large magnetic field,
the system can fall into a long lived dynamical state consisting of an array of
elliptic and hyperbolic Mermin-Ho spin textures, while the true equilibrium is
an uniaxial spin density wave with a single wave-vector along the magnetic
field, and a wavelength similar to the characteristic length of the long lived
vortex array state.Comment: 4 pages, 6 figure
Creation of Skyrmions in a Spinor Bose-Einstein Condensate
We propose a scheme for the creation of skyrmions (coreless vortices) in a
Bose-Einstein condensate with hyperfine spin F=1. In this scheme, four
traveling-wave laser beams, with Gaussian or Laguerre-Gaussian transverse
profiles, induce Raman transitions with an anomalous dependence on the laser
polarization, thereby generating the optical potential required for producing
skyrmions.Comment: 5 pages, 2 figures, RevTe
Spin squeezing and entanglement in spinor-1 condensates
We analyze quantum correlation properties of a spinor-1 (f=1) Bose Einstein
condensate using the Gell-Mann realization of SU(3) symmetry. We show that
previously discussed phenomena of condensate fragmentation and spin-mixing can
be explained in terms of the hypercharge symmetry. The ground state of a
spinor-1 condensate is found to be fragmented for ferromagnetic interactions.
The notion of two bosonic mode squeezing is generalized to the two spin (U-V)
squeezing within the SU(3) formalism. Spin squeezing in the isospin subspace
(T) is found and numerically investigated. We also provide new results for the
stationary states of spinor-1 condensates.Comment: 9 pages, 6 figure
Exploring quantum criticality based on ultracold atoms in optical lattices
Critical behavior developed near a quantum phase transition, interesting in
its own right, offers exciting opportunities to explore the universality of
strongly-correlated systems near the ground state. Cold atoms in optical
lattices, in particular, represent a paradigmatic system, for which the quantum
phase transition between the superfluid and Mott insulator states can be
externally induced by tuning the microscopic parameters. In this paper, we
describe our approach to study quantum criticality of cesium atoms in a
two-dimensional lattice based on in situ density measurements. Our research
agenda involves testing critical scaling of thermodynamic observables and
extracting transport properties in the quantum critical regime. We present and
discuss experimental progress on both fronts. In particular, the thermodynamic
measurement suggests that the equation of state near the critical point follows
the predicted scaling law at low temperatures.Comment: 15 pages, 6 figure
Effect of Quadratic Zeeman Energy on the Vortex of Spinor Bose-Einstein Condensates
The spinor Bose-Einstein condensate of atomic gases has been experimentally
realized by a number of groups. Further, theoretical proposals of the possible
vortex states have been sugessted. This paper studies the effects of the
quadratic Zeeman energy on the vortex states. This energy was ignored in
previous theoretical studies, although it exists in experimental systems. We
present phase diagrams of various vortex states taking into account the
quadratic Zeeman energy. The vortex states are calculated by the
Gross-Pitaevskii equations. Several new kinds of vortex states are found. It is
also found that the quadratic Zeeman energy affects the direction of total
magnetization and causes a significant change in the phase diagrams.Comment: 6 pages, 5 figures. Published in J. Phys. Soc. Jp
Rashbons: Properties and their significance
In presence of a synthetic non-Abelian gauge field that induces a Rashba like
spin-orbit interaction, a collection of weakly interacting fermions undergoes a
crossover from a BCS ground state to a BEC ground state when the strength of
the gauge field is increased [Phys. Rev. B {\bf 84}, 014512 (2011)]. The BEC
that is obtained at large gauge coupling strengths is a condensate of tightly
bound bosonic fermion-pairs whose properties are solely determined by the
Rashba gauge field -- hence called rashbons. In this paper, we conduct a
systematic study of the properties of rashbons and their dispersion. This study
reveals a new qualitative aspect of the problem of interacting fermions in
non-Abelian gauge fields, i.e., that the rashbon state induced by the gauge
field for small centre of mass momenta of the fermions ceases to exist when
this momentum exceeds a critical value which is of the order of the gauge
coupling strength. The study allows us to estimate the transition temperature
of the rashbon BEC, and suggests a route to enhance the exponentially small
transition temperature of the system with a fixed weak attraction to the order
of the Fermi temperature by tuning the strength of the non-Abelian gauge field.
The nature of the rashbon dispersion, and in particular the absence of the
rashbon states at large momenta, suggests a regime of parameter space where the
normal state of the system will be a dynamical mixture of uncondensed rashbons
and unpaired helical fermions. Such a state should show many novel features
including pseudogap physics.Comment: 8 pages, 6 figure
Ferromagnetism in a lattice of Bose condensates
We show that an ensemble of spinor Bose-Einstein condensates confined in a
one dimensional optical lattice can undergo a ferromagnetic phase transition
and spontaneous magnetization arises due to the magnetic dipole-dipole
interaction. This phenomenon is analogous to ferromagnetism in solid state
physics, but occurs with bosons instead of fermions.Comment: 4 pages, 2 figure
Quantized circular motion of a trapped Bose-Einstein condensate: coherent rotation and vortices
We study the creation of vortex states in a trapped Bose-Einstein condensate
by a rotating force. For a harmonic trapping potential the rotating force
induces only a circular motion of the whole condensate around the trap center
which does not depend on the interatomic interaction. For the creation of a
pure vortex state it is necessary to confine the atoms in an anharmonic
trapping potential. The efficiency of the creation can be greatly enhanced by a
sinusodial variation of the force's angular velocity. We present analytical and
numerical calculations for the case of a quartic trapping potential. The
physical mechanism behind the requirement of an anharmonic trapping potential
for the creation of pure vortex states is explained.
[Changes: new numerical and analytical results are added and the
representation is improved.]Comment: 13 Pages, 5 Figures, RevTe
Molecular geometry optimization with a genetic algorithm
We present a method for reliably determining the lowest energy structure of
an atomic cluster in an arbitrary model potential. The method is based on a
genetic algorithm, which operates on a population of candidate structures to
produce new candidates with lower energies. Our method dramatically outperforms
simulated annealing, which we demonstrate by applying the genetic algorithm to
a tight-binding model potential for carbon. With this potential, the algorithm
efficiently finds fullerene cluster structures up to starting
from random atomic coordinates.Comment: 4 pages REVTeX 3.0 plus 3 postscript figures; to appear in Physical
Review Letters. Additional information available under "genetic algorithms"
at http://www.public.iastate.edu/~deaven
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