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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 +3 more
wiley +1 more source
Multisymplectic Spectral Methods for the Gross-Pitaevskii Equation [PDF]
, 2002 Recently, Bridges and Reich introduced the concept of multisymplectic spectral discretizations for Hamiltonian wave equations with periodic boundary conditions [5]. In this paper, we show that the ID nonlinear Schrodinger equation and the 2D Gross-Pitaevskii equation are multi-symplectic and derive multi-symplectic spectral discretizations of these ...
Alvaro L. Islas, Constance M. Schober
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Rigorous Derivation of the Gross-Pitaevskii Equation
, 2017 The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction ...
Erdős, László +2 more
core +1 more source
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
New opportunities for creating quantum states of light and matter with intense laser fields
Nanophotonics, Volume 14, Issue 11, Page 1837-1855, June 2025.Abstract Nonlinear dynamics provide an indispensable resource for creating quantum states of light, as well as other bosonic systems. Seminal work using second‐ and third‐order nonlinear optical crystals, cavity quantum electrodynamics, and superconducting circuits, have enabled generating squeezed states, as well as various non‐Gaussian quantum states
Nicholas Rivera
wiley +1 more source
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
Nonautonomous multisoliton solutions of the 1D Gross-Pitaevskii equation with time-dependent coefficients [PDF]
, 2014 In this paper we investigate bright multisoliton solutions of the one-dimensional Gross-Pitaevskii equationwith a parabolic potential, a time-dependent nonlinearity, and a term related to gain or loss.
Pérez Riascos, Alejandro +1 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
Dynamics characterization of modified Gross–Pitaevskii equation
Physica A: Statistical Mechanics and its Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filho, Victo S. +3 more
openaire +2 more sources
The stochastic Gross-Pitaevskii equation
, 2001 We show how to adapt the ideas of local energy and momentum conservation in order to derive modifications to the Gross-Pitaevskii equation which can be used phenomenologically to describe irreversible effects in a Bose-Einstein condensate. Our approach involves the derivation of a simplified quantum kinetic theory, in which all processes are treated ...
Anglin, C. W. Gardiner J. R. +1 more
openaire +2 more sources