Results 91 to 100 of about 33,314 (234)
Domain Walls in the Coupled Gross–Pitaevskii Equations [PDF]
Archive for Rational Mechanics and Analysis, 2014 A thorough study of domain wall solutions in coupled Gross-Pitaevskii equations on the real line is carried out including existence of these solutions; their spectral and nonlinear stability; their persistence and stability under a small localized potential. The proof of existence is variational and is presented in a general framework: we show that the
Alama, Stan +3 more
openaire +2 more sources
Acta Polytechnica, 2013 We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Holger Cartarius +5 more
doaj
Dynamical behaviour and solutions in the fractional Gross–Pitaevskii model
Mathematical and Computer Modelling of Dynamical SystemsThe Gross–Pitaevskii equation is widely known for its applications in fields such as Bose–Einstein condensates and optical fibres. This study investigates the dynamical behaviour of various wave solutions to the M-fractional nonlinear Gross–Pitaevskii ...
Beenish +3 more
doaj +1 more source
An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation
Advances in Condensed Matter Physics, 2015 We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
doaj +1 more source
PGPE theory of finite temperature collective modes for a trapped Bose gas
, 2008 We develop formalism based on the projected Gross Pitaevskii equation to simulate the finite temperature collective mode experiments of Jin et al. [PRL 78, 764 (1997)].
A. Bezett, A. Geddes, P. B. Blakie
core +1 more source
Advanced Quantum Technologies, Volume 8, Issue 6, June 12, 2025.Light–pulse atom interferometry with ultra‐cold quantum gases is proposed and numerically benchmarked as a competitive platform to test the modulo‐square hypothesis of Born's rule. The interferometric protocol utilizes a combination of double Bragg and single Raman diffraction pulses to induce multipath interference in Bose–Einstein condensates and ...
Simon Kanthak +3 more
wiley +1 more source
Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas
Physical Review X, 2019 A fluid is said to be scale invariant when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale invariance provides a dynamical symmetry which has profound ...
R. Saint-Jalm +7 more
doaj +1 more source
Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation [PDF]
Kinetic and Related Models, 2018 In this paper we present a numerical comparison of various mass-conservative discretizations for the time-dependent Gross-Pitaevskii equation. We have three main objectives.
P. Henning, Johan Warnegaard
semanticscholar +1 more source
New opportunities for creating quantum states of light and matter with intense laser fields
Nanophotonics, Volume 14, Issue 11, Page 1837-1855, June 2025.Abstract Nonlinear dynamics provide an indispensable resource for creating quantum states of light, as well as other bosonic systems. Seminal work using second‐ and third‐order nonlinear optical crystals, cavity quantum electrodynamics, and superconducting circuits, have enabled generating squeezed states, as well as various non‐Gaussian quantum states
Nicholas Rivera
wiley +1 more source
STABILITY OF BOSE-EINSTEIN CONDENSATES IN A PT-SYMMETRIC DOUBLE-δ POTENTIAL CLOSE TO BRANCH POINTS
Acta Polytechnica, 2014 A Bose-Einstein condensate trapped in a double-well potential, where atoms are incoupled to one side and extracted from the other, can in the mean-field limit be described by the nonlinear Gross-Pitaevskii equation (GPE) with a PT symmetric external ...
Andreas Löhle +5 more
doaj +1 more source