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A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

量子气体 · 物理学 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

超导电性 · 物理学 2009-11-10 Takafumi Kita

The localized low-energy interfacial excitations, or Nambu-Goldstone modes, of phase-segregated binary mixtures of Bose-Einstein condensates are investigated analytically by means of a double-parabola approximation (DPA) to the Lagrangian…

量子气体 · 物理学 2018-04-11 Joseph O. Indekeu , Thu Van Nguyen , Chang-You Lin , Tran Huu Phat

Motivated by the recent development of the Feshbach technique, we studied the ground and low-lying excited states of attractive Bose-Einstein condensates on a one-dimensional ring as a function of the strength of interactions. The…

凝聚态物理 · 物理学 2009-11-07 Rina Kanamoto , Hiroki Saito , Masahito Ueda

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled…

其他凝聚态物理 · 物理学 2007-05-23 Ralf Schützhold , Michael Uhlmann , Yan Xu , Uwe R. Fischer

The review is devoted to the elucidation of the basic problems arising in the theoretical investigation of systems with Bose-Einstein condensate. Understanding these challenging problems is necessary for the correct description of…

统计力学 · 物理学 2015-05-28 V. I. Yukalov

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

统计力学 · 物理学 2015-06-25 Sang-Hoon Kim

Using stability arguments, this Brief Report suggests that a term that enhances the surface tension in the presence of large height fluctuations should be included in the Kardar-Parisi-Zhang equation. A one-loop renormalization group…

统计力学 · 物理学 2009-10-28 Barbara Drossel

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle…

量子物理 · 物理学 2016-11-09 Dennis Dast , Daniel Haag , Holger Cartarius , Jörg Main , Günter Wunner

A theory of the non-symmetric Landau-Zener tunneling of Bose-Einstein condensates in deep optical lattices is presented. It is shown that periodic exchange of matter between the bands is described by a set of linearly coupled nonlinear…

软凝聚态物质 · 物理学 2016-08-31 V. V. Konotop , P. G. Kevrekidis , M. Salerno

The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community. It describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity,…

统计力学 · 物理学 2016-08-31 Igor Aranson , Lorenz Kramer

The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

凝聚态物理 · 物理学 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari

A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic…

统计力学 · 物理学 2020-08-26 Benoît Mahault , Ramin Golestanian

Bogoliubov-de Gennes (BdG) equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, including long-range and short range forces. The nonconverting BEC…

软凝聚态物质 · 物理学 2007-05-23 A. S. Alexandrov , V. V. Kabanov

We measure the frequency of the low m=0 quadrupolar excitation mode of weakly interacting Bose-Einstein condensates in the transition region from the 3D to the 1D mean-field regime. Various effects shifting the frequency of the mode are…

其他凝聚态物理 · 物理学 2009-11-11 M. Kottke , T. Schulte , L. Cacciapuoti , D. Hellweg , S. Drenkelforth , W. Ertmer , J. J. Arlt

We consider the heteroclinic connection problem for a class of Hamiltonian systems, containing a large competition parameter, which arise in the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near…

偏微分方程分析 · 数学 2015-12-09 Christos Sourdis

We derive a theoretical model which describes Bose-Einstein condensation in an open driven-dissipative system. It includes external pumping of a thermal reservoir, finite life time of the condensed particles and energy relaxation. The…

量子气体 · 物理学 2015-06-17 D. D. Solnyshkov , H. Terças , K. Dini , G. Malpuech

We provide a detailed description of our previously proposed scheme for topological interface engineering with constructed defects and textures perforating across coherent interfaces between different broken symmetries [M. O. Borgh and J.…

量子气体 · 物理学 2013-04-23 Magnus O. Borgh , Janne Ruostekoski

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

数学物理 · 物理学 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We study the long time behavior of solutions to a nonlinear partial differential equation arising in the description of trapped rotating Bose-Einstein condensates. The equation can be seen as a hybrid between the well-known nonlinear…

偏微分方程分析 · 数学 2016-08-08 Alexey Cheskidov , Daniel Marahrens , Christof Sparber