Results 121 to 130 of about 32,263 (260)
Protocol for Nonlinear State Discrimination in Rotating Condensate
Advanced Quantum Technologies, Volume 7, Issue 6, June 2024.An approach to quantum computation leveraging the unique properties of Bose–Einstein condensates is considered. An experiment to implement single‐input quantum state discrimination in an atomtronic quantum interference device consisting of a rotating toroidal condensate is proposed.
Michael R. Geller
wiley +1 more source
Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron +16 more
core +1 more source
GPUE: Graphics Processing Unit Gross-Pitaevskii Equation solver
Journal of Open Source Software, 2018 Bose–Einstein Condensates (BECs) are superfluid systems consisting of bosonic atoms that have been cooled and condensed into a single, macroscopic ground state (Fetter, 2009; Pethick & Smith, 2008).
J. Schloss, J. Riordan
semanticscholar +1 more source
Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
Nanophotonics, Volume 13, Issue 4, Page 509-518, February 2024.Abstract Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double‐wave (DW) chains, which can be described by a generalized Aubry‐André‐Harper (AAH) model.
Tobias Schneider +4 more
wiley +1 more source
Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well [PDF]
, 2017 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.
Cartarius , Holger +5 more
core
Moving gap solitons in periodic potentials
, 2007 We address existence of moving gap solitons (traveling localized solutions) in the Gross-Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit localized solutions of the coupled-mode system.
Alfimov +13 more
core +1 more source
Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation
Electronic Journal of Differential Equations, 2014 We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation.
Haidar Mohamad
doaj
Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Advances in High Energy Physics, 2020 In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space.
A. X. Martins +6 more
doaj +1 more source
On nonlocal Gross-Pitaevskii equations with periodic potentials [PDF]
Journal of Mathematical Physics, 2012 The Gross-Pitaevskii equation is a widely used model in physics, in particular in the context of Bose-Einstein condensates. However, it only takes into account local interactions between particles. This paper demonstrates the validity of using a nonlocal formulation as a generalization of the local model.
openaire +3 more sources