The crystallization conjecture: a review
M Lewin, X Blanc - EMS Surveys in Mathematical Sciences, 2015 - ems.press
In this article we describe the crystallization conjecture. It states that, in appropriate physical
conditions, interacting particles always place themselves into periodic configurations …
conditions, interacting particles always place themselves into periodic configurations …
Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
Attractive Bose-Einstein condensates can host two types of macroscopic self-bound states:
bright solitons and quantum droplets. Here, we investigate the connection between them …
bright solitons and quantum droplets. Here, we investigate the connection between them …
Expansion dynamics of a shell-shaped Bose-Einstein condensate
We report the creation of a shell BEC in the presence of Earth's gravity with immiscible dual-
species BECs of sodium and rubidium atoms. After minimizing the displacement between …
species BECs of sodium and rubidium atoms. After minimizing the displacement between …
Observation of a lee-huang-yang fluid
We observe monopole oscillations in a mixture of Bose-Einstein condensates, where the
usually dominant mean-field interactions are canceled. In this case, the system is governed …
usually dominant mean-field interactions are canceled. In this case, the system is governed …
Real-space imaging of a topologically protected edge state with ultracold atoms in an amplitude-chirped optical lattice
M Leder, C Grossert, L Sitta, M Genske, A Rosch… - Nature …, 2016 - nature.com
To describe a mobile defect in polyacetylene chains, Su, Schrieffer and Heeger formulated a
model assuming two degenerate energy configurations that are characterized by two …
model assuming two degenerate energy configurations that are characterized by two …
GPELab, a Matlab toolbox to solve Gross–Pitaevskii equations II: Dynamics and stochastic simulations
GPELab is a free Matlab toolbox for modeling and numerically solving large classes of
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …
Dilute fluid governed by quantum fluctuations
Understanding the effects of interactions in complex quantum systems beyond the mean-
field paradigm constitutes a fundamental problem in physics. We show how the atom …
field paradigm constitutes a fundamental problem in physics. We show how the atom …
Efficient spectral computation of the stationary states of rotating Bose–Einstein condensates by preconditioned nonlinear conjugate gradient methods
We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral
spatial discretization scheme for computing the ground states (GS) of rotating Bose–Einstein …
spatial discretization scheme for computing the ground states (GS) of rotating Bose–Einstein …
Numerical solution of the nonlinear Schrödinger equation using smoothed-particle hydrodynamics
We formulate a smoothed-particle hydrodynamics numerical method, traditionally used for
the Euler equations for fluid dynamics in the context of astrophysical simulations, to solve the …
the Euler equations for fluid dynamics in the context of astrophysical simulations, to solve the …
Observation of self-patterned defect formation in atomic superfluids–from ring dark solitons to vortex dipole necklaces
Unveiling nonequilibrium dynamics of solitonic and topological defect structures in a
multidimensional nonlinear medium is a current frontier across diverse fields. One of the …
multidimensional nonlinear medium is a current frontier across diverse fields. One of the …