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Variance of an anisotropic Bose-Einstein condensate
Shachar Klaiman, Raphael Beinke, Lorenz S. Cederbaum +2
The anisotropy of a trap potential can impact the density and variance of a Bose-Einstein condensate (BEC) in an opposite manner. We exemplify this effect for both the ground state…
Solvable Model of a Generic Trapped Mixture of Interacting Bosons: Many-Body and Mean-Field Properties at the Infinite-Particle Limit
S. Klaiman, A. I. Streltsov, O. E. Alon
A solvable model of a generic trapped bosonic mixture, bosons of mass and bosons of mass trapped in an harmonic potential of frequency and interacting b…
Many-body effects in the excitation spectrum of weakly-interacting Bose-Einstein condensates in one-dimensional optical lattices
Raphael Beinke, Shachar Klaiman, Lorenz S. Cederbaum +2
In this work, we study many-body excitations of Bose-Einstein condensates (BECs) trapped in periodic one-dimensional optical lattices. In particular, we investigate the impact of q…
Uncertainty product of an out-of-equilibrium Bose-Einstein condensate
Shachar Klaiman, Alexej I. Streltsov, Ofir E. Alon
The variance and uncertainty product of the position and momentum many-particle operators of structureless bosons interacting by a long-range inter-particle interaction and trapped…
Overlap of exact and Gross-Pitaevskii wavefunctions in Bose-Einstein condensates of dilute gases
Shachar Klaiman, Lorenz S. Cederbaum
It has been proven theoretically for bosons with two-body repulsive interaction potentials in the dilute limit that the Gross-Pitaevskii equation provides the exact energy and dens…
Solvable Model of a Mixture of Bose-Einstein Condensates
Shachar Klaiman, Alexej I. Streltsov, Ofir E. Alon
A mixture of two kinds of identical bosons held in a harmonic potential and interacting by harmonic particle-particle interactions is discussed. This is an exactly-solvable model o…
Many-body tunneling dynamics of Bose-Einstein condensates and vortex states in two spatial dimensions
Raphael Beinke, Shachar Klaiman, Lorenz S. Cederbaum +2
In this work, we study the out-of-equilibrium many-body tunneling dynamics of a Bose-Einstein condensate in a two-dimensional radial double well. We investigate the impact of inter…
The uncertainty product of an out-of-equilibrium many-particle system
Shachar Klaiman, Alexej I. Streltsov, Ofir E. Alon
In the present work we show, analytically and numerically, that the variance of many-particle operators and their uncertainty product for an out-of-equilibrium Bose-Einstein conden…
Variance as a sensitive probe of correlations enduring the infinite particle limit
Shachar Klaiman, Ofir E. Alon
Bose-Einstein condensates made of ultracold trapped bosonic atoms have become a central venue in which interacting many-body quantum systems are studied. The ground state of a trap…
Spatially partitioned many-body vortices
Shachar Klaiman, Ofir E. Alon
A vortex in Bose-Einstein condensates is a localized object which looks much like a tiny tornado storm. It is well described by mean-field theory. In the present work we go beyond…
Breaking the resilience of a two-dimensional Bose-Einstein condensate to fragmentation
Shachar Klaiman, Axel U. J. Lode, Alexej I. Streltsov +2
A two-dimensional Bose-Einstein condensate (BEC) split by a radial potential barrier is investigated. We determine on an accurate many-body level the system's ground-state phase di…
Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
Rostislav A. Doganov, Shachar Klaiman, Ofir E. Alon +2
We examine the problem of two particles confined in an isotropic harmonic trap, which interact via a finite-ranged Gaussian-shaped potential in two spatial dimensions. We derive an…