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张志涛研究员等在Bose-Einstein Condensates和Volterra-Lotka竞争系统研究中取得重要成果
张志涛研究员 Bose-Einstein Condensates Volterra-Lotka 竞争系统 研究 成果 极限
2012/2/23
自从物理学家提出用耦合Gross-Pitaevskii方程组来描述Bose-Einstein凝聚态以来，对这个奇异扰动的Schrodinger方程组及其极限中的phase separation现象出现了大量的研究, 许多国际著名数学家如现代变分理论创始人A. Ambrosetti以及E.N.Dancer,S.Terracini, T. Bartsch,Juncheng Wei等都有突出成果。
Bose-Einstein condensates in optical lattices: mathematical analysis and analytical approximate formulae
Bose-Einstein condensates stability of ground states analytical approximate formulae repulsive or attractive interatomic interactions
2011/9/6
Abstract: We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, ...
Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates
Confined Bose-Einstein Condensates Vortex Dipoles Dynamics
2011/7/7
We present a systematic theoretical analysis of the motion of a pair of straight counter-rotating vortex lines within a trapped Bose-Einstein condensate. We introduce the dynamical equations of motion...
Spontaneous symmetry breaking in linearly coupled disk-shaped Bose-Einstein condensates
linearly coupled disk-shaped Bose-Einstein condensates Spontaneous symmetry breaking
2011/7/7
We study effects of tunnel coupling on a pair of parallel disk-shaped Bose-Einstein condensates with the self-attractive intrinsic nonlinearity. Each condensate is trapped in a combination of in-plane...
Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices
Nonlinear localized modes dipolar Bose-Einstein condensates condensates optical lattices
2011/7/7
The modulational instability and discrete matter wave solitons in dipolar BEC, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instabilit...
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Annular Bose-Einstein Condensates in the Lowest Landau Level
Superfluidity Gross-Pitaevskii energy Bose-Einstein Condensates Vortices
2010/12/15
A rotating super uid such as a Bose-Einstein condensate is usually described by the Gross-
Pitaevskii (GP) model. An important issue is to determine from this model the properties of the
quantized v...
Vortex Rings in Fast Rotating Bose-Einstein Condensates
Bose-Einstein Condensates Vortices Gross-Pitaevskii energy
2010/12/3
When Bose-Einstein condensates are rotated suciently fast, a giant vortex phase appears, that
is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation aroun...
Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
Pattern Formation and Solitons (nlin.PS) Quantum Gases (cond-mat.quant-gas)
2010/11/10
Quasiparticle approach to dynamics of dark solitons is applied to the case of ring solitons. It is shown that the energy conservation law provides the effective equations of motion of ring dark solito...
Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
Analytical three-dimensional bright solitons soliton-pairs in Bose-Einstein condensates time-space modulation
2010/12/15
We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional
Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity,and...
Stable Vortex-Bright Soliton Structures in Two-Component Bose Einstein Condensates
Soliton Structures topological charge Two-Component Bose Einstein Condensates
2010/4/1
We report the numerical realization and demonstration of robustness of certain 2-component structures in Bose-Einstein Condensates in 2 and 3 spatial dimensions with non-trivial topological charge in ...
Bose-Einstein condensates with F=1 and F=2. Reductions and soliton interactions of multi-component NLS models
multicomponent nonlinear Schrodinger equations scattering method soliton interactions
2010/4/1
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scat...
On reductions of soliton solutions of multi-component NLS models and spinor Bose-Einstein condensates
multicomponent nonlinear Schrodinger equations symmetric BD.I-type symmetric spaces
2010/4/1
We consider a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces. As important particular case of these MNLS we obtain the Kulish-Sklyan...
Bose-Einstein Condensates and spectral properties of multicomponent nonlinear Schrodinger equations
soliton solutions scattering data dimensional BEC
2010/4/1
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...