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A Bose-Einstein condensation theory for any integer spin using noncommutative quantum mechanics methods is considered. The effective potential is derived as a multipolar expansion in the non-commutativity parameter ($\theta$) and, at second…

高能物理 - 理论 · 物理学 2009-12-15 J. Gamboa , F. Mendez

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field…

量子气体 · 物理学 2015-06-03 Shi-Jie Yang , Yuechan Liu , Shiping Feng

We discuss the transition from a fully decoherent to a (quasi-)condensate regime in a harmonically trapped weakly interacting 1D Bose gas. By using analytic approaches and verifying them against exact numerical solutions, we find a…

原子物理 · 物理学 2013-05-29 Isabelle Bouchoule , Karen V. Kheruntsyan , Gora Shlyapnikov

Bose-Einstein condensation (BEC), a macroscopic quantum phenomenon arising from phase coherence and bosonic statistics, has been realized in quantum magnets. Here, we report the observation of a universal magnetocaloric effect (MCE) near a…

We consider the dynamics of a quantum degenerate trapped gas of Li-7 atoms. Because the atoms have a negative s-wave scattering length, a Bose condensate of Li-7 becomes mechanically unstable when the number of condensate atoms approaches a…

统计力学 · 物理学 2009-10-31 C. A. Sackett , H. T. C. Stoof , R. G. Hulet

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…

其他凝聚态物理 · 物理学 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

It is well known that a Bose-Einstein (BE) condensate of atoms exists in a system of interacting Bose atoms at $T\lesssim T^{(i)}_{c}$, where $T^{(i)}_{c}$ is the BE condensation temperature of an ideal gas. It is also generally accepted…

其他凝聚态物理 · 物理学 2025-05-15 Maksim D. Tomchenko

A model describing coherent quantum tunneling between two trapped Bose-Einstein condensates is shown to admit an exact solution. The spectrum is obtained by the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations…

介观与纳米尺度物理 · 物理学 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie , Xi-Wen Guan

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

统计力学 · 物理学 2017-01-04 Yu. M. Poluektov

We study the critical point for the emergence of coherence in a harmonically trapped two-dimensional Bose gas with tuneable interactions. Over a wide range of interaction strengths we find excellent agreement with the classical-field…

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

凝聚态物理 · 物理学 2007-05-23 H. T. C. Stoof

We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization…

无序系统与神经网络 · 物理学 2008-11-14 V. Gurarie , G. Refael , J. T. Chalker

Quantum theory of the intraband resonant tunneling of a Bose-Einstein condensate loaded in a twodimensional optical lattice is considered. It is shown that the phenomena of quantum collapse and revival can be observed in the fully quantum…

其他凝聚态物理 · 物理学 2008-01-22 V. S. Shchesnovich , V. V. Konotop

When the rotating frequency of a non-interacting Bose-Einstein condensate (BEC) confined in a weak anisotropic harmonic potential is suddenly quenched to its trapping frequency, the condensate evolves from its ground state to a single-mode…

量子气体 · 物理学 2025-08-07 Li Chen , Fei Zhu , Zheng Tang , Liang Zeng , Jae Joon Lee , Han Pu

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…

In three dimensions, non-interacting bosons undergo Bose-Einstein condensation at a critical temperature, $T_{c}$, which is slightly shifted by $\Delta T_{\mathrm{c}}$, if the particles interact. We calculate the excitation spectrum of…

量子气体 · 物理学 2011-10-19 Samuel C. Cormack , Dániel Schumayer , David A. W. Hutchinson

Using the Vakarchuk formulae for the density matrix, we calculate the number N_k of atoms with momentum \hbar k for the ground state of a uniform one-dimensional periodic system of interacting bosons. We obtain for impenetrable point bosons…

量子气体 · 物理学 2016-06-01 Maksim Tomchenko

Recent development of cloud-based experiment platforms has enabled physicists to examine theoretical concepts with unprecedented accessibility. Oqtant is a cloud-accessible platform for trapped Bose-Einstein Condensates (BECs) of neutral…

量子气体 · 物理学 2025-10-14 Daichi Kagamihara , Hironori Kazuta , Yewei Wu , N. J. Fitch , Ippei Danshita

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 and transverse harmonic-oscillator…

量子气体 · 物理学 2012-01-17 Luca Salasnich , Boris A. Malomed

We present theoretical as well as experimental results on resonantly enhanced quantum tunneling of Bose-Einstein condensates in optical lattices both in the linear case of single particle dynamics and in the presence of atom-atom…

量子气体 · 物理学 2011-04-14 Ennio Arimondo , Sandro Wimberger