Classical bifurcation at the transition from Rabi to Josephson dynamics
T Zibold, E Nicklas, C Gross, MK Oberthaler - Physical review letters, 2010 - APS
We report on the experimental demonstration of the internal bosonic Josephson effect in a
rubidium spinor Bose-Einstein condensate. The measurement of the full time dynamics in …
rubidium spinor Bose-Einstein condensate. The measurement of the full time dynamics in …
[كتاب][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings
PG Kevrekidis, DJ Frantzeskakis… - 2015 - SIAM
The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …
Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
R Carretero-González, DJ Frantzeskakis… - …, 2008 - iopscience.iop.org
The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …
Spread complexity and dynamical transition in multimode Bose-Einstein condensates
B Zhou, S Chen - Physical Review B, 2024 - APS
We study the spread complexity in two-mode Bose-Einstein condensates and unveil that the
long-time average of the spread complexity C¯ K can probe the dynamical transition from …
long-time average of the spread complexity C¯ K can probe the dynamical transition from …
Spontaneous symmetry breaking in a nonlinear double-well structure
T Mayteevarunyoo, BA Malomed, G Dong - Physical Review A—Atomic …, 2008 - APS
We propose a model of a nonlinear double-well potential (NDWP), alias a double-well
pseudopotential, with the objective to study an alternative implementation of the …
pseudopotential, with the objective to study an alternative implementation of the …
Quantum entanglement in the spatial-symmetry-breaking phase transition of a driven-dissipative Bose-Hubbard dimer
W Casteels, C Ciuti - Physical Review A, 2017 - APS
We theoretically explore the quantum correlation properties of a dissipative Bose-Hubbard
dimer in the presence of a coherent drive. In particular, we focus on the regime where the …
dimer in the presence of a coherent drive. In particular, we focus on the regime where the …
Localized breathing modes in granular crystals with defects
G Theocharis, M Kavousanakis, PG Kevrekidis… - Physical Review E …, 2009 - APS
We study localized modes in uniform one-dimensional chains of tightly packed and
uniaxially compressed elastic beads in the presence of one or two light-mass impurities. For …
uniaxially compressed elastic beads in the presence of one or two light-mass impurities. For …
Nonlinear Schrödinger equation for a -symmetric delta-function double well
H Cartarius, D Haag, D Dast… - Journal of Physics A …, 2012 - iopscience.iop.org
The time-independent nonlinear Schrödinger equation is solved for two attractive delta-
function-shaped potential wells where an imaginary loss term is added in one well, and a …
function-shaped potential wells where an imaginary loss term is added in one well, and a …
Bifurcations, stability, and dynamics of multiple matter-wave vortex states
S Middelkamp, PG Kevrekidis, DJ Frantzeskakis… - Physical Review A …, 2010 - APS
In the present work, we offer a unifying perspective between the dark soliton stripe and the
vortex multipole (dipole, tripole, aligned quadrupole, quintopole, etc.) states that emerge in …
vortex multipole (dipole, tripole, aligned quadrupole, quintopole, etc.) states that emerge in …
Designable integrability of the variable coefficient nonlinear Schrödinger equations
J He, Y Li - Studies in applied mathematics, 2011 - Wiley Online Library
The designable integrability (DI)[51] of the variable coefficient nonlinear Schrödinger
equations (VCNLSEs) is first introduced by construction of an explicit transformation, which …
equations (VCNLSEs) is first introduced by construction of an explicit transformation, which …