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We use a generalized Gross-Pitaevskii equation for the condensate and a semi-classical kinetic equation for the noncondensate atoms to discuss the scissors mode in a trapped Bose-condensed gas at finite temperatures. Both equations include…

Statistical Mechanics · Physics 2009-11-07 T. Nikuni

A theory of collective excitations in Bose-Einstein condensation in a trap is developed based on the quantum Hamilton-Jacobi equation of Bohm and the phase coherence along with the idea of off-diagonal long range order of Penrose and…

Other Condensed Matter · Physics 2007-05-23 S. J. Han

The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited. The conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau…

Quantum Gases · Physics 2012-09-06 R. L. Delgado , P. Bargueño , F. Sols

We consider a dilute Bose gas confined by a harmonic potential. We define an appropriate thermodynamic limit and analyze the properties of the phases and phase transition in this limit. Critical properties in the presence of the potential…

Condensed Matter · Physics 2009-10-28 Kedar Damle , T. Senthil , Satya N. Majumdar , Subir Sachdev

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

Statistical Mechanics · Physics 2009-10-30 N. P. Proukakis , K. Burnett

Inspired by recent experiments on Bose-Einstein condensates in ring traps, we investigate the topological properties of the phase of a one-dimensional Bose field in the presence of both thermal and quantum fluctuations -- the latter ones…

We present the theory of damping of low-energy excitations of a trapped Bose condensate at finite temperatures, where the damping is provided by the interaction of these excitations with the thermal excitations. We emphasize the key role of…

Condensed Matter · Physics 2009-10-30 P. O. Fedichev , G. V. Shlyapnikov , J. T. M. Walraven

I predict the existence of internal spatial currents in a {\it single} macroscopic quantum system, namely in trapped dilute-gas at sufficiently low temperatures, when a Bose-Einstein condensation occurs. The spatial profiles of the…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov

We study Bose-Einstein condensate of atomic Boson gases trapped in a composite potential of a harmonic potential and an optical lattice potential. We found a series of collective excitations that induces localized vortex oscillations with a…

Other Condensed Matter · Physics 2009-11-11 Tomoya Isoshima

We present a semiclassical two-fluid model for an interacting Bose gas confined in an anisotropic harmonic trap and solve it in the experimentally relevant region for a spin-polarized gas of Rb-87 atoms, obtaining the temperature dependence…

Statistical Mechanics · Physics 2009-10-28 A. Minguzzi , S. Conti , M. P. Tosi

We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent…

Quantum Gases · Physics 2011-06-29 Robert P. Smith , Robert L. D. Campbell , Naaman Tammuz , Zoran Hadzibabic

A more accurate semiclassical theory for ultracold gases is derived, in which the occupation of high energy modes is dynamically constrained to the Bose-Einstein distribution. This regularized version of the SGPE model preserves the proper…

Quantum Gases · Physics 2019-04-15 Piotr Deuar , Joanna Pietraszewicz

We study damping of a dipole oscillation in a Bose-Condensed gas in a combined cigar-shaped harmonic trap and one-dimensional (1D) optical lattice potential at finite temperatures. In order to include the effect of thermal excitations in…

Other Condensed Matter · Physics 2009-11-13 Emiko Arahata , Tetsuro Nikuni

A quantitative description of the whole process of condensation of bosons in an harmonic trap is given resorting only to Gibbs and Bose postulates, without assuming equipartition nor continuum statistics. Below Tc discrete spectrum theory…

Statistical Mechanics · Physics 2007-05-23 Enrico Celeghini , Mario Rasetti

In superfluid $^3$He-B externally pumped quantized spin-wave excitations or magnons spontaneously form a Bose-Einstein condensate in a 3-dimensional trap created with the order-parameter texture and a shallow minimum in the polarizing…

Other Condensed Matter · Physics 2014-03-20 P. J. Heikkinen , S. Autti , V. B. Eltsov , J. J. Hosio , M. Krusius , V. V. Zavjalov

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , H. T. C. Stoof

The recent developments of microgravity experiments with ultracold atoms have produced a relevant boost in the study of shell-shaped ellipsoidal Bose-Einstein condensates. For realistic bubble-trap parameters, here we calculate the critical…

Quantum Gases · Physics 2020-07-01 A. Tononi , F. Cinti , L. Salasnich

We theoretically investigate collective modes of a one-dimensional (1D) interacting Bose gas in harmonic traps at finite temperatures, by using a variational approach and local density approximation. We find that the temperature dependence…

Quantum Gases · Physics 2015-01-23 Hui Hu , Gao Xianlong , Xia-Ji Liu

We predict the loss of superfluidity in a Bose-Einstein condensate in an axially symmetric harmonic trap alone during resonant collective oscillations via a classical dynamical transition. The forced resonant oscillation can be initiated by…

Soft Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari