1,287 research outputs found
Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
We present the complete phase diagram for one-dimensional binary mixtures of
bosonic ultracold atomic gases in a harmonic trap. We obtain exact results with
direct numerical diagonalization for small number of atoms, which permits us to
quantify quantum many-body correlations. The quantum Monte Carlo method is used
to calculate energies and density profiles for larger system sizes. We study
the system properties for a wide range of interaction parameters. For the
extreme values of these parameters, different correlation limits can be
identified, where the correlations are either weak or strong. We investigate in
detail how the correlation evolve between the limits. For balanced mixtures in
the number of atoms in each species, the transition between the different
limits involves sophisticated changes in the one- and two-body correlations.
Particularly, we quantify the entanglement between the two components by means
of the von Neumann entropy. We show that the limits equally exist when the
number of atoms is increased, for balanced mixtures. Also, the changes in the
correlations along the transitions among these limits are qualitatively
similar. We also show that, for imbalanced mixtures, the same limits with
similar transitions exist. Finally, for strongly imbalanced systems, only two
limits survive, i.e., a miscible limit and a phase-separated one, resembling
those expected with a mean-field approach.Comment: 18 pages, 8 figure
Nonequilibrium quantum dynamics of partial symmetry breaking for ultracold bosons in an optical lattice ring trap
A vortex in a Bose-Einstein condensate on a ring undergoes quantum dynamics
in response to a quantum quench in terms of partial symmetry breaking from a
uniform lattice to a biperiodic one. Neither the current, a macroscopic
measure, nor fidelity, a microscopic measure, exhibit critical behavior.
Instead, the symmetry memory succeeds in identifying the point at which the
system begins to forget its initial symmetry state. We further identify a
symmetry energy difference in the low lying excited states which trends with
the symmetry memory
A topological charge selection rule for phase singularities
We present an study of the dynamics and decay pattern of phase singularities
due to the action of a system with a discrete rotational symmetry of finite
order. A topological charge conservation rule is identified. The role played by
the underlying symmetry is emphasized. An effective model describing the short
range dynamics of the vortex clusters has been designed. A method to engineer
any desired configuration of clusters of phase singularities is proposed. Its
flexibility to create and control clusters of vortices is discussed.Comment: 4 pages, 3 figure
Vorticity cutoff in nonlinear photonic crystals
Using group theory arguments, we demonstrate that, unlike in homogeneous
media, no symmetric vortices of arbitrary order can be generated in
two-dimensional (2D) nonlinear systems possessing a discrete-point symmetry.
The only condition needed is that the non-linearity term exclusively depends on
the modulus of the field. In the particular case of 2D periodic systems, such
as nonlinear photonic crystals or Bose-Einstein condensates in periodic
potentials, it is shown that the realization of discrete symmetry forbids the
existence of symmetric vortex solutions with vorticity higher than two.Comment: 4 pages, 5 figures; minor changes in address and reference
Vortex transmutation
Using group theory arguments and numerical simulations, we demonstrate the
possibility of changing the vorticity or topological charge of an individual
vortex by means of the action of a system possessing a discrete rotational
symmetry of finite order. We establish on theoretical grounds a "transmutation
pass rule'' determining the conditions for this phenomenon to occur and
numerically analize it in the context of two-dimensional optical lattices or,
equivalently, in that of Bose-Einstein condensates in periodic potentials.Comment: 4 pages, 4 figure
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