Results 61 to 70 of about 15,266 (159)

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, Holger Cartarius, Daniel Haag, Dennis Dast, Jörg Main, Günter Wunner Wunner   +5 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

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

Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators

Forum of Mathematics, Sigma
We revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
doaj   +1 more source

Scalar Field as a Bose-Einstein Condensate?

, 2014
We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi--bounded state, and a trapped Bose-Einstein condensate.
Castellanos, Elías, Escamilla-Rivera, Celia, Macías, Alfredo, Núñez, Darío   +3 more
core   +1 more source

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

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay, Ivan Giorgio   +4 more
wiley   +1 more source

Using Artificial Neural Networks to Solve the Gross–Pitaevskii Equation

Axioms
The current work proposes the incorporation of an artificial neural network to solve the Gross–Pitaevskii equation (GPE) efficiently, using a few realistic external potentials.
Ioannis G. Tsoulos, Vasileios N. Stavrou, Dimitrios Tsalikakis   +2 more
doaj   +1 more source

Defect modes of a Bose-Einstein condensate in an optical lattice with a localized impurity

, 2006
We study defect modes of a Bose-Einstein condensate in an optical lattice with a localized defect within the framework of the one-dimensional Gross-Pitaevskii equation.
A. I. Anselm, V. V. Konotop, Valeriy A. Brazhnyi, Vladimir V. Konotop, Víctor M. Pérez-García   +4 more
core   +1 more source