title: Ground-state computation of Bose-Einstein condensates by an imaginary-time quantum lattice Boltzmann scheme.
abstract: The multidimensional formulation of the quantum lattice Boltzmann (qLB) scheme is extended to the case of nonlinear quantum wave equations. More specifically, imaginary-time formulations of the qLB scheme are developed and applied to the numerical computation of the ground state of the Gross-Pitaevskii equation in one and two spatial dimensions. The calculation is validated through detailed comparison with other numerical methods, as well as with analytical results based on the Thomas-Fermi approximation. The linear scaling of the time-step size with the spatial mesh spacing, a distinctive feature of the present quantum kinetic approach, is also numerically demonstrated.
authors.affiliation: Dipartimento di Matematica, Università Roma Tre, Largo San Leonardo Murialdo 1, 00146, Roma, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Palpacelli
authors.forename: S
authors.initials: S
authors.lastname: Succi
authors.forename: R
authors.initials: R
authors.lastname: Spigler