Results 51 to 60 of about 15,266 (159)

Dynamical behaviour and solutions in the fractional Gross–Pitaevskii model

Mathematical and Computer Modelling of Dynamical Systems
The 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, Muhammad Asim, Salah Boulaaras, Mati Ur Rahman   +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

Proposal for a Bose–Einstein Condensate Based Test of Born's Rule Using Light–Pulse Atom Interferometry

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, Julia Pahl, Daniel Reiche, Markus Krutzik   +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, P. C. M. Castilho, É. Le Cerf, B. Bakkali-Hassani, J.-L. Ville, S. Nascimbene, J. Beugnon, J. Dalibard   +7 more
doaj   +1 more source

Travelling waves for the Gross-Pitaevskii equation II [PDF]

, 2008
The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three.
A. Bouard de, A. de Bouard, A. Farina, C.A. Jones, C.A. Jones, D. Chiron, E.P. Gross, F. Béthuel, F. Béthuel, Fabrice Béthuel, I. Ekeland, J.L. Bona, J.L. Bona, Jean-Claude Saut, K. Kato, L. Almeida, L.P. Pitaevskii, M. Maris, M. Maris, O. Goubet, O. Lopes, P. Gravejat, P. Gravejat, P. Gravejat, P. Gravejat, P. Gravejat, P. Gravejat, P. Gravejat, P. Gérard, P.I. Lizorkin, Philippe Gravejat, S. Gustafson, S. Gustafson, S.V. Iordanskii, É. Tarquini   +34 more
core   +3 more sources

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

Emission of Solitons From an Obstacle Moving in the Bose-Einstein Condensate

Frontiers in Physics, 2021
Dark solitons dynamically generated from a potential moving in a one-dimensional Bose-Einstein condensate are displayed. Based on numerical simulations of the Gross-Pitaevskii equation, we find that the moving obstacle successively emits a series of ...
Yu Song, Yu Mo, Shiping Feng, Shi-Jie Yang   +3 more
doaj   +1 more source

Ab initio methods for finite temperature two-dimensional Bose gases

, 2012
The stochastic Gross-Pitaevskii equation and modified Popov theory are shown to provide an ab initio description of finite temperature, weakly-interacting two-dimensional Bose gas experiments.
N. P. Proukakis, S. P. Cockburn, V. L. Berezinskii, V. N. Popov   +3 more
core   +1 more source

Optical control of topological end states via soliton formation in a 1D lattice

Nanophotonics, Volume 14, Issue 6, Page 769-775, April 2025.
Abstract Discrete spatial solitons are self‐consistent solutions of the discrete nonlinear Schrödinger equation that maintain their shape during propagation. Here we show, using a pump‐probe technique, that soliton formation can be used to optically induce and control a linear topological end state in the bulk of a Su–Schrieffer–Heeger lattice, using ...
Christina Jörg, Marius Jürgensen, Sebabrata Mukherjee, Mikael C. Rechtsman   +3 more
wiley   +1 more source