Results 61 to 70 of about 3,107,805 (229)

Deriving the Gross-Pitaevskii equation

, 2014
In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evolution of the condensate observed.
Benedikter, Niels
core   +1 more source

Critical Energies and Wigner Functions of the Stationary States of the Bose Einstein Condensates in a Double‐Well Trap

Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.
The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley   +1 more source

Spin-wave growth via Shapiro resonances in a spinor Bose-Einstein condensate

Physical Review Research, 2021
We theoretically study the resonant phenomenon in a spin-1 Bose-Einstein condensate periodically driven by a quadratic Zeeman coupling. This phenomenon is closely related to the Shapiro steps in superconducting Josephson junctions, and the previous ...
Yuya Imaeda, Kazuya Fujimoto, Yuki Kawaguchi   +2 more
doaj   +1 more source

Optimal state discrimination and unstructured search in nonlinear quantum mechanics

, 2016
Nonlinear variants of quantum mechanics can solve tasks that are impossible in standard quantum theory, such as perfectly distinguishing nonorthogonal states.
Childs, Andrew M., Young, Joshua
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

Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms

, 2000
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature.
Bagnato, Bayindir, Dalfovo, Dodd, Edwards, Gammal, Hinds, Hoenberg, Sadhan K. Adhikari   +8 more
core   +1 more source

A New Thermodynamic Approach to Multimode Fiber Self‐cleaning and Soliton Condensation

Laser &Photonics Reviews, Volume 19, Issue 6, March 18, 2025.
A new thermodynamic theory for optical multimode systems is presented, based on a weighted Bose–Einstein law (wBE) and including a state equation, fundamental equation for the entropy and an accuracy metric. An experimental comparison of two propagation regimes of a multimode optical fiber is carried out in terms of wBE, namely the self‐cleaning in the
Mario Zitelli
wiley   +1 more source

The stochastic Gross-Pitaevskii equation II [PDF]

, 2003
We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al. (J. Phys. B 35,1555,(2002).
, Bijlsma M J, Blatt J M, Breit G, C W Gardiner, Davis M J, Davis M J, Davis M J, Davis M J, Davis M J, Duine R A, Fermi E, Gardiner C W, Gardiner C W, Gardiner C W, Gardiner C W, Gardiner C W, Gardiner C W, Gardiner C W, Gardiner C W, Gòral K, Gòral K, Huang K, Jackson B, Kagan Yu M, Köhl M, Köhler T, Lee M D, Lee M D, Lobo C Sinatra A Castin Y, M J Davis, Morgan S A, Morgan S A, Morgan S A Rusch M Hutchinson D A W Burnett K, Munro W J, Penckwitt A A, Schmidt H, Segré E, Sinatra A, Sinatra A, Sinatra A, Steel M J, Stoof H T C, Stoof H T C, Svistunov B V, Tsubota M, Wachter J, Walser R   +47 more
core   +3 more sources

Ground states of a non‐local variational problem and Thomas–Fermi limit for the Choquard equation

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We study non‐negative optimisers of a Gagliardo–Nirenberg‐type inequality ∫∫RN×RN|u(x)|p|u(y)|p|x−y|N−αdxdy⩽C∫RN|u|2dxpθ∫RN|u|qdx2p(1−θ)/q,$$\begin{align*} & \iint\nolimits _{\mathbb {R}^N \times \mathbb {R}^N} \frac{|u(x)|^p\,|u(y)|^p}{|x - y|^{N-\alpha }} dx\, dy\\ &\quad \leqslant C{\left(\int _{{\mathbb {R}}^N}|u|^2 dx\right)}^{p\theta } {\
Damiano Greco, Yanghong Huang, Zeng Liu, Vitaly Moroz   +3 more
wiley   +1 more source

Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form

Advances in Mathematical Physics, 2018
In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation.
Imre F. Barna, Mihály A. Pocsai, L. Mátyás   +2 more
doaj   +1 more source