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We study analytically the ground-state stability of a Bose-Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of…

Quantum Physics · Physics 2015-06-26 Luca Salasnich

We study the interference effects between three weakly linked trapped Bose-Einstein condensates (BEC) as a generalization of the two-component condensates. Three coupled Gross-Pitaevskii equations (GPE) are used to describe the dynamics of…

Statistical Mechanics · Physics 2009-11-07 Sun Zhang , Fan Wang

For quantum fluids, the role of quantum fluctuations may be significant in several regimes such as when the dimensionality is low, the density is high, the interactions are strong, or for low particle numbers. In this paper we propose a…

Quantum Gases · Physics 2018-02-02 R. N. Bisset , P. G. Kevrekidis , C. Ticknor

A renormalization group method is developed with which thermodynamic properties of a weakly interacting, confined Bose gas can be investigated. Thereby effects originating from a confining potential are taken into account by periodic…

Condensed Matter · Physics 2009-10-31 G. Alber

A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence…

Statistical Mechanics · Physics 2008-02-03 Hualin Shi , Wei-Mou Zheng

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

Spin-orbit coupled bosons can exhibit rich equilibrium phases at low temperature and in the presence of particle-particle interactions. In the case with a 1D synthetic spin-orbit interaction, it has been observed that the ground state of a…

Quantum Gases · Physics 2016-06-22 Jeffrey Ting Fung Poon , Xiong-Jun Liu

Interacting one-dimensional quantum systems play a pivotal role in physics. Exact solutions can be obtained for the homogeneous case using the Bethe ansatz and bosonisation techniques. However, these approaches are not applicable when…

Quantum Physics · Physics 2016-07-12 M. E. S. Andersen , A. S. Dehkharghani , A. G. Volosniev , E. J. Lindgren , N. T. Zinner

Intensity interferometry and in particular that due to Bose Einstein correlations (BEC) constitutes at present the only direct experimental method for the determination of sizes and lifetimes of sources in particle and nuclear physics. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Richard M. Weiner

This article presents a study of the grand canonical Bose-Einstein (BE) statistics for a finite number of particles in an arbitrary quantum system. The thermodynamical quantities that identify BE condensation -- namely, the fraction of…

Quantum Gases · Physics 2021-10-27 Pedro Pessoa

In these notes we discuss recent developments in the field of non-equilibrium quantum dynamics. Specifically, we consider nearly coherent Bose gases brought far out of equilibrium and study their behaviour in view of connections between…

Quantum Gases · Physics 2018-02-06 Boris Nowak , Sebastian Erne , Markus Karl , Jan Schole , Dénes Sexty , Thomas Gasenzer

We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized Rb-K gases with tunable interspecies interactions. By combining analytical perturbation theory…

Quantum Gases · Physics 2013-03-26 M. Dalmonte , E. Ercolessi , M. Mattioli , F. Ortolani , D. Vodola

We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong interaction or/and large-volume systems, we obtain…

Mathematical Physics · Physics 2024-06-14 N. A. Slavnov

One-dimensional strings of local excitations are a fascinating feature of the physical behavior of strongly correlated topological quantum matter. Here we study strings of local excitations in a classical system of interacting nanomagnets,…

In the first-quantized description of bosonic systems permutation cycles formed by the particles play a fundamental role. In the ideal Bose gas Bose-Enstein condensation (BEC) is signaled by the appearance of infinite cycles. When the…

Quantum Gases · Physics 2024-11-19 Andras Suto

Coherent wave states such as Bose-Einstein condensates (BECs), which spontaneously form in an overpopulated magnon gas even at room temperature, have considerable potential for wave-based computing and information processing at microwave…

The stability of Bose gases near resonance has been a puzzling problem in recent years. In this Letter, we demonstrate that in addition to generating thermal pressure, thermal atoms enhance the repulsiveness of the scale-dependent…

Quantum Gases · Physics 2015-07-16 Shao-Jian Jiang , Fei Zhou

The elementary excitations in antiferromagnets are magnons, quasiparticles with integer spin and Bose statistics. In an experiment their density is controlled efficiently by an applied magnetic field and can be made finite to cause the…

Strongly Correlated Electrons · Physics 2008-03-17 T. Giamarchi , Ch. Rüegg , O. Tchernyshyov

The dynamical behavior of Bose-Einstein condensation (BEC) in a gas with attractive interactions is striking. Quantum theory predicts that BEC of a spatially homogeneous gas with attractive interactions is precluded by a conventional phase…

Condensed Matter · Physics 2009-10-31 Jordan M. Gerton , Dmitry Strekalov , Ionut Prodan , Randall G. Hulet

We investigate the properties of the one-dimensional Bose gas at zero temperature, for which exact results exist for some model systems. We treat the interactions between particles in the gas with an approximate form of the many-body…

Condensed Matter · Physics 2007-05-23 M. D. Lee , S. A. Morgan , K. Burnett