Pattern formation in quantum ferrofluids: From supersolids to superglasses
Pattern formation is a ubiquitous phenomenon observed in nonlinear and out-of-equilibrium
systems. In equilibrium, quantum ferrofluids formed from ultracold atoms were recently …
systems. In equilibrium, quantum ferrofluids formed from ultracold atoms were recently …
Supersolidity in two-dimensional trapped dipolar droplet arrays
We theoretically investigate the ground states and the spectrum of elementary excitations
across the superfluid to droplet crystallization transition of an oblate dipolar Bose-Einstein …
across the superfluid to droplet crystallization transition of an oblate dipolar Bose-Einstein …
Droplet crystal ground states of a dipolar Bose gas
We show that the ground state of a dipolar Bose gas in a cylindrically symmetric harmonic
trap has a rich phase diagram, including droplet crystal states in which a set of droplets …
trap has a rich phase diagram, including droplet crystal states in which a set of droplets …
Ferromagnetism in an extended coherently coupled atomic superfluid
Ferromagnetism is an iconic example of a first-order phase transition taking place in
spatially extended systems and is characterized by hysteresis and the formation of domain …
spatially extended systems and is characterized by hysteresis and the formation of domain …
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations
In this paper, based on the Scalar Auxiliary Variable (SAV) approach [44],[45] and a newly
proposed Lagrange multiplier (LagM) approach [22],[21] originally constructed for gradient …
proposed Lagrange multiplier (LagM) approach [22],[21] originally constructed for gradient …
On Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition Spaces
P Henning, A Persson - Multiscale Modeling & Simulation, 2023 - SIAM
In this paper we revisit a two-level discretization based on localized orthogonal
decomposition (LOD). It was originally proposed in [P. Henning, A. Målqvist, and D …
decomposition (LOD). It was originally proposed in [P. Henning, A. Målqvist, and D …
Convergence analysis of direct minimization and self-consistent iterations
This article is concerned with the numerical solution of subspace optimization problems,
consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed …
consisting of minimizing a smooth functional over the set of orthogonal projectors of fixed …
Dai–Liao extensions of a descent hybrid nonlinear conjugate gradient method with application in signal processing
Z Aminifard, S Babaie-Kafaki - Numerical Algorithms, 2022 - Springer
Abstract Recently, Jian, Han and Jiang proposed a descent hybrid conjugate gradient
method which is globally convergent without convexity assumption on the objective function …
method which is globally convergent without convexity assumption on the objective function …
Exciting the Goldstone modes of a supersolid spin-orbit-coupled Bose gas
Supersolidity is deeply connected with the emergence of Goldstone modes, reflecting the
spontaneous breaking of both phase and translational symmetry. Here, we propose …
spontaneous breaking of both phase and translational symmetry. Here, we propose …
Super-localised wave function approximation of Bose-Einstein condensates
D Peterseim, J Wärnegård, C Zimmer - Journal of Computational Physics, 2024 - Elsevier
This paper presents a novel spatial discretisation method for reliable and efficient simulation
of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the …
of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the …