Results 71 to 80 of about 33,314 (234)

The Gross–Pitaevskii equation and Bose–Einstein condensates [PDF]

open access: yesEuropean 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

Exactly solvable Gross–Pitaevskii type equations

open access: yesJournal of Physics Communications, 2021
TWe suggest a method to construct exactly solvable Gross-Pitaevskii type equations, especially the variable-coefficient high-order Gross-Pitaevskii type equations. We show that there exists a relation between the Gross-Pitaevskii type equations. The Gross-Pitaevskii equations connected by the relation form a family.
Yuan-Yuan Liu, Wen-Du Li, Wu-Sheng Dai
openaire   +2 more sources

Polaron Dynamics in a Quasi-Two-Dimensional Bose–Einstein Condensate

open access: yesUniverse, 2023
The concept of polaron quasiparticles was first introduced in the pioneering papers by Landau and Feynman in the 1930s and 1940s. It describes the phenomenon of an external particle producing a bound state in an embedded medium.
Shukhrat N. Mardonov   +3 more
doaj   +1 more source

Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit

open access: yesAnnalen der Physik, Volume 538, Issue 1, January 2026.
The quasiclassical conjecture for quantum turbulence in a pure superfluid straightforwardly leads to the definition of the superfluid Reynolds number, Res=ud/κ$Re_s=ud/\kappa$, and suggests that the effective quantum viscosity should be of the order of the circulation quantum κ$\kappa$.
Hiromitsu Takeuchi
wiley   +1 more source

Microscopic derivation of the extended Gross-Pitaevskii equation for quantum droplets in binary Bose mixtures

open access: yes, 2020
An ultradilute quantum droplet is a self-bound liquidlike state recently observed in ultracold Bose-Einstein condensates. In most previous theoretical studies, it is described by a phenomenological low-energy effective theory, termed as the extended ...
Hui Hu, Xia-ji Liu
semanticscholar   +1 more source

Multivortex Traveling Waves for the Gross-Pitaevskii Equation and the Adler-Moser Polynomials [PDF]

open access: yesSIAM Journal on Mathematical Analysis, 2018
For $N\leq34,$ we construct traveling waves with small speed for the Gross-Pitaevskii equation, by gluing $N(N+1)/2$ pairs of degree $\pm1$ vortices of the Ginzburg-Landau equation.
Y. Liu, Juncheng Wei
semanticscholar   +1 more source

Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate

open access: yesJournal of High Energy Physics, 2022
A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation.
Julien Garaud, Antti J. Niemi
doaj   +1 more source

Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian

open access: yes, 2017
The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation.
A. Knowles   +4 more
core   +1 more source

Broadening of Spectral Lines for Decaying Trapped States of Photonic Meta‐Atoms

open access: yesElectronics Letters, Volume 62, Issue 1, January/December 2026.
We discuss the phase‐matched capture‐and‐decay of dispersive waves by a photonic meta‐atom, enabled by higher‐order dispersive effects in a nonlinear waveguide. The emitted resonant modes exhibit a Lorentzian lineshape, with width determined by the lifetime of the decay process.
Shihao Zhang   +4 more
wiley   +1 more source

The stochastic Gross-Pitaevskii equation and some applications [PDF]

open access: yesLaser Physics, 2009
14 pages, 9 figures.
Cockburn SP, Proukakis NP
openaire   +3 more sources

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