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Bose-Einstein condensation dynamics from the numerical solution of the Gross-Pitaevskii equation [PDF]
, 2002 We study certain stationary and time-evolution problems of trapped Bose-Einstein condensates using the numerical solution of the Gross-Pitaevskii equation with both spherical and axial symmetries. We consider time-evolution problems initiated by changing
Adhikari, Sadhan K. +1 more
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The Gross–Pitaevskii equation and Bose–Einstein condensates [PDF]
European Journal of Physics, 2013 The Gross-Pitaevskii equation is discussed at the level of an advanced course on statistical physics. In the standard literature the Gross-Pitaevskii equation is usually obtained in the framework of the second quantisation formalism, which in many cases goes beyond the material covered in many advanced undergraduate courses.
openaire +2 more sources
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 +3 more
wiley +1 more source
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
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
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, 2004 We give here the derivation of a Gross-Pitaevskii--type equation for inhomogeneous condensed bosons. Instead of the original Gross-Pitaevskii differential equation, we obtain an integral equation that implies less restrictive assumptions than are made in
A. J. Leggett +9 more
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On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT- and non- PT-symmetric potentials. [PDF]
Chaos, 2016 We report the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time- ( PT-) and non- PT-symmetric potentials.
Zhenya Yan, Yong Chen, Zichao Wen
semanticscholar +1 more source
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
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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
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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
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