23 research outputs found
Phonon-Josephson resonances in atomtronic circuits
We study the resonant excitation of sound modes from Josephson oscillations
in Bose-Einstein condensates. From the simulations for various setups using the
Gross-Pitaevskii mean-field equations and Josephson equations we observe
additional tunneling currents induced by resonant phonons. The proposed
experiment may be used for spectroscopy of phonons as well as other low-energy
collective excitations in Bose-Einstein condensates. We also argue that the
observed effect may mask the observation of Shapiro resonances if not carefully
controlled.Comment: 8 pages, 11 figures. Updated to match the published versio
JM-ECS: A hybrid method combining the -matrix and ECS methods for scattering calculations
The paper proposes a hybrid method for calculating scattering processes that
combines the -matrix method with exterior complex scaling as an absorbing
boundary condition. It represents the wave function as a finite sum of
oscillator eigenstates in the inner region and on grid in the outer region. The
method is validated for one and two dimensional model partial wave equation
equations. Finally, the method calculates nuclear -shell scattering
Can tetraneutron exist from theoretical point of view?
A theoretical possibility is shown for the bound state of a tetraneutron to
exist in the case of the proposed neutron-neutron potentials in the singlet
state with two attractive wells separated by a repulsive barrier. The anomalous
behaviours are revealed for the calculated size, density distribution, and pair
correlation functions of a hypothetical tetraneutron.Comment: 8 pages including 3 figure
Finite-temperature dynamics of a bosonic Josephson junction
In the framework of the stochastic projected Gross-Pitaevskii equation we
investigate finite-temperature dynamics of a bosonic Josephson junction (BJJ)
formed by a Bose-Einstein condensate of atoms in a two-well trapping potential.
We extract the characteristic properties of the BJJ from the stationary
finite-temperature solutions and compare the dynamics of the system with the
resistively shunted Josephson model. Analyzing the decay dynamics of the
relative population imbalance we estimate the effective normal conductance of
the junction induced by thermal atoms. The calculated normal conductance at
various temperatures is then compared with predictions of the noise-less model
and the model of ballistic transport of thermal atoms.Comment: This is the version of the article before peer review or editing, as
submitted by authors to Journal of Physics B: Atomic, Molecular and Optical
Physics. IOP Publishing Ltd is not responsible for any errors or omissions in
this version of the manuscript or any version derived from it. The Version of
Record is available online at https://doi.org/10.1088/1361-6455/aae02
Energy Thresholds of Stability of Three-Particle Systems
We have studied the general properties of the energy thresholds of stability
for a three-particle system with short-range interaction. A wide region of the
interaction constants and various ratios of the masses of particles are
considered. The specific effects characteristic of the near-threshold
stationary energy levels of three particles are revealed. The asymptotic
estimates are obtained for the thresholds at some limiting cases, and the
high-precision variational calculations of the thresholds for various values of
the interaction constants and the masses of particles are carried out.Comment: 27 pages, 6 PostScript figures, RevTeX
Projected Gross-Pitaevskii equation for ring-shaped Bose-Einstein condensates
We propose an alternative implementation of the Projected Gross-Pitaevskki
equation adapted for numerical modeling of the atomic Bose-Einstein condensate
trapped in a toroidally-shaped potential. We present an accurate and efficient
scheme to evaluate the required matrix elements and calculate time evolution of
the matter wave field. We analyze the stability and accuracy of the developed
method for equilibrium and nonequilibrium solutions in a ring-shaped trap with
additional barrier potential corresponding to recent experimental realizations
Symmetry breaking and phase transitions in Bose-Einstein condensates with spin-orbital-angular-momentum coupling
Theoretical study is presented for a spinor Bose-Einstein condensate, whose
two components are coupled by copropagating Raman beams with different orbital
angular momenta. The investigation is focused on the behavior of the ground
state of this condensate, depending on the atom-light coupling strength. By
analyzing the ground state, we have identified a number of quantum phases,
which reflect the symmetries of the effective Hamiltonian and are characterized
by the specific structure of the wave function. In addition to the well-known
stripe, polarized and zero-momentum phases, our results show that the system
can support phases, whose wave function contains a complex vortex molecule.
Such molecule plays an important role in the continuous phase transitions of
the system. The predicted behavior of vortex-molecule phases can be examined in
cold-atom experiments using currently existing techniques
Stable Hopf solitons in rotating Bose-Einstein condensates
We reveal that Hopf solitons can be stabilized in rotating atomic
Bose-Einstein condensate. The Hopfion is a matter-wave vortex complex which
carries two independent winding numbers. Such a topological solitonic structure
results from a superfluid flow of atoms simultaneously quantized in poloidal
and toroidal directions. In the framework of a dissipative mean-field model we
observe different unstable evolution scenarios of the Hopfions. We demonstrate
energetic and dynamical stability of the Hopf solitons under experimentally
feasible conditions.Comment: 5 pages, 10 figure
Collective excitations and tunneling dynamics in long bosonic Josephson junctions
We investigate the low-energy dynamics of two coupled anisotropic
Bose-Einstein condensates forming a long Josephson junction. The theoretical
study is performed in the framework of the two-dimensional Gross-Pitaevskii
equation and the Bogoliubov-de Gennes formalism. We analyze the excitation
spectrum of the coupled Bose condensates and show how low-energy excitations of
the condensates lead to multiple-frequency oscillations of the atomic
populations in the two wells. This analysis generalizes the standard bosnic
Josephson euqation approach. We also develop a one-dimensional hydrodynamic
model of the coupled condensates, that is capable to reproduce the excitation
spectrum and population dynamics of the system
Dispersion relations and self-localization of quasiparticles in coupled elongated Bose-Einstein condensates
We present a detailed study of the spectrum and dispersion of Bogoliubov
quasiparticles in two coupled elongated Bose-Einstein condensates. We develop
an analytically solvable model that approximates two infinite homogeneous
condensates and compare its predictions to a numerical simulation of a
realistic trapped system. While the comparisons show a reasonable agreement
between the two models, they also manifest the existence of several anomalous
Bogoliubov modes in the spectrum. These modes show degeneracy in both energy
and momentum together with self-localization in the coordinate space