230 research outputs found
Fluxon analogues and dark solitons in linearly coupled Bose-Einstein condensates
Two effectively one-dimensional parallel coupled Bose-Einstein condensates in
the presence of external potentials are studied. The system is modelled by
linearly coupled Gross-Pitaevskii equations. In particular, grey-soliton-like
solutions representing analogues of superconducting Josephson fluxons as well
as coupled dark solitons are discussed. Theoretical approximations based on
variational formulations are derived. It is found that the presence of a
magnetic trap can destabilize the fluxon analogues. However, stabilization is
possible by controlling the effective linear coupling between the condensates.Comment: 14 pages, 7 figures, The paper is to appear in Journal of Physics
Beating dark-dark solitons in Bose-Einstein condensates
Motivated by recent experimental results, we study beating dark-dark solitons
as a prototypical coherent structure that emerges in two-component
Bose-Einstein condensates. We showcase their connection to dark- bright
solitons via SO(2) rotation, and infer from it both their intrinsic beating
frequency and their frequency of oscillation inside a parabolic trap. We
identify them as exact periodic orbits in the Manakov limit of equal inter- and
intra-species nonlinearity strengths with and without the trap and showcase the
persistence of such states upon weak deviations from this limit. We also
consider large deviations from the Manakov limit illustrating that this
breathing state may be broken apart into dark-antidark soliton states. Finally,
we consider the dynamics and interactions of two beating dark-dark solitons in
the absence and in the presence of the trap, inferring their typically
repulsive interaction.Comment: 13 pages, 14 figure
Oscillons and oscillating kinks in the Abelian-Higgs model
We study the classical dynamics of the Abelian Higgs model employing an
asymptotic multiscale expansion method, which uses the ratio of the Higgs to
the gauge field amplitudes as a small parameter. We derive an effective
nonlinear Schr\"{o}dinger equation for the gauge field, and a linear equation
for the scalar field containing the gauge field as a nonlinear source. This
equation is used to predict the existence of oscillons and oscillating kinks
for certain regimes of the ratio of the Higgs to the gauge field masses.
Results of numerical simulations are found to be in very good agreement with
the analytical findings, and show that the oscillons are robust, while kinks
are unstable. It is also demonstrated that oscillons emerge spontaneously as a
result of the onset of the modulational instability of plane wave solutions of
the model. Connections of the obtained solutions with the phenomenology of
superconductors is discussed.Comment: arXiv admin note: substantial text overlap with arXiv:1306.386
Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions
We consider nonlinear analogues of Parity-Time (PT) symmetric linear systems
exhibiting defocusing nonlinearities. We study the ground state and excited
states (dark solitons and vortices) of the system and report the following
remarkable features. For relatively weak values of the parameter
controlling the strength of the PT-symmetric potential, excited states undergo
(analytically tractable) spontaneous symmetry breaking; as is
further increased, the ground state and first excited state, as well as
branches of higher multi-soliton (multi-vortex) states, collide in pairs and
disappear in blue-sky bifurcations, in a way which is strongly reminiscent of
the linear PT-phase transition ---thus termed the nonlinear PT-phase
transition. Past this critical point, initialization of, e.g., the former
ground state leads to spontaneously emerging solitons and vortices.Comment: 8 pages, 8 figure
Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
In the present work, we explore the existence, stability and dynamics of
single and multiple vortex ring states that can arise in Bose-Einstein
condensates. Earlier works have illustrated the bifurcation of such states, in
the vicinity of the linear limit, for isotropic or anisotropic
three-dimensional harmonic traps. Here, we extend these states to the regime of
large chemical potentials, the so-called Thomas-Fermi limit, and explore their
properties such as equilibrium radii and inter-ring distance, for multi-ring
states, as well as their vibrational spectra and possible instabilities. In
this limit, both the existence and stability characteristics can be partially
traced to a particle picture that considers the rings as individual particles
oscillating within the trap and interacting pairwise with one another. Finally,
we examine some representative instability scenarios of the multi-ring dynamics
including breakup and reconnections, as well as the transient formation of
vortex lines.Comment: 10 pages, 8 figure
A chemical imaging and Nano-ARPES study of well-ordered thermally reduced SrTiO3(100)
The structural and electronic properties of thermally reduced SrTiO3(100)
single crystals have been investigated using a probe with real- and
reciprocal-space sensitivity: a synchrotron radiation microsopic setup which
offers the possibility of Scanning Photoemission Microscopy and Angle Resolved
Photoelectron Spectroscopy (ARPES) down to the nanometric scale. We have
spectroscopically imaged the chemical composition of samples which present
reproducible and suitable low-energy electron diffraction patterns after
following well-established thermal reduction protocols. At the micrometric
scale, Ca-rich areas have been directly imaged using high-energy resolution
core level photoemission. Moreover, we have monitored the effect of Ca
segregation on different features of the SrTiO3(100) electronic band structure,
measuring ARPES inside, outside and at the interface of surface inhomogeneities
with the identified Ca-rich areas. In particular, the interaction of Ca with
the well-known intragap localized state, previously attributed to oxygen
vacancies, has been investigated. Moreover, the combination of direct imaging
and spectroscopic techniques with high spatial resolution has clarified the
long-standing dilemma related to the bulk or surface character of Ca
segregation in SrTiO3. Our results present solid evidence that the penetration
depth of Ca segregation is very small. In contrast to what has been previously
proposed, the origin of long-range surface reconstructions can unlikely be
associated to Ca due to strong local variations of its surface concentration.Comment: 7 pages, 6 figure
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