[HTML][HTML] Solitons in coupled nonlinear Schrödinger models: a survey of recent developments

PG Kevrekidis, DJ Frantzeskakis - Reviews in Physics, 2016 - Elsevier
In this review we try to capture some of the recent excitement induced by experimental
developments, but also by a large volume of theoretical and computational studies …

[BUCH][B] The defocusing nonlinear Schrödinger equation: from dark solitons to vortices and vortex rings

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 …

Continuous and discrete Schrödinger systems with parity-time-symmetric nonlinearities

AK Sarma, MA Miri, ZH Musslimani… - Physical Review E, 2014 - APS
We investigate the dynamical behavior of continuous and discrete Schrödinger systems
exhibiting parity-time (PT) invariant nonlinearities. We show that such equations behave in a …

Modeling quantum fluid dynamics at nonzero temperatures

NG Berloff, M Brachet… - Proceedings of the …, 2014 - National Acad Sciences
The detailed understanding of the intricate dynamics of quantum fluids, in particular in the
rapidly growing subfield of quantum turbulence which elucidates the evolution of a vortex …

Dynamical equilibration across a quenched phase transition in a trapped quantum gas

IK Liu, S Donadello, G Lamporesi, G Ferrari… - Communications …, 2018 - nature.com
The formation of an equilibrium state from an uncorrelated thermal one through the
dynamical crossing of a phase transition is a central question of quantum many-body …

Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates

A Romero-Ros, GC Katsimiga, SI Mistakidis, B Prinari… - Physical Review A, 2022 - APS
The present work is motivated by the recent experimental realization of the Townes soliton in
an effective two-component Bose-Einstein condensate by B. Bakkali-Hassan et al.[Phys …

Quantum and thermal effects of dark solitons in a one-dimensional Bose gas

AD Martin, J Ruostekoski - Physical Review Letters, 2010 - APS
We numerically study the imprinting and dynamics of dark solitons in a bosonic atomic gas
in a tightly confined one-dimensional harmonic trap both with and without an optical lattice …

Stochastic projected gross-pitaevskii equation

SJ Rooney, PB Blakie, AS Bradley - … Review A—Atomic, Molecular, and Optical …, 2012 - APS
We have achieved a full implementation of the stochastic projected Gross-Pitaevskii
equation for a three-dimensional trapped Bose gas at finite temperature. Our work advances …

Non-thermal fixed points and solitons in a one-dimensional Bose gas

M Schmidt, S Erne, B Nowak, D Sexty… - New Journal of …, 2012 - iopscience.iop.org
Single-particle momentum spectra for a dynamically evolving one-dimensional Bose gas are
analysed in the semi-classical wave limit. Representing one of the simplest correlation …

Comparison between microscopic methods for finite-temperature Bose gases

SP Cockburn, A Negretti, NP Proukakis… - Physical Review A—Atomic …, 2011 - APS
We analyze the equilibrium properties of a weakly interacting, trapped quasi-one-
dimensional Bose gas at finite temperatures and compare different theoretical approaches …