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We measure the phase diagram of a $^{87}$Rb Bose gas in a harmonic trap in terms of macroscopic parameters obtained from the spatial distribution of atoms. Considering the relevant variables as size of the cloud ${\cal V}$, number of atoms…

Quantum Gases · Physics 2011-02-24 V Romero-Rochin , R F Shiozaki , M Caracanhas , E A L Henn , K M F Magalhaes , G Roati , V S Bagnato

We investigate the structure of trapped Bose-Einstein condensates (BECs) with long-range anisotropic dipolar interactions. We find that a small perturbation in the trapping potential can lead to dramatic changes in the condensate's density…

Other Condensed Matter · Physics 2010-02-08 Ryan M. Wilson , Shai Ronen , Han Pu , John L. Bohn

We analyze the consequences caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate trapped in a generic 3-dimensional power-law…

Statistical Mechanics · Physics 2014-10-01 E. Castellanos , C. Laemmerzahl

We consider bosonic atoms that rotate in an anharmonic trapping potential. Using numerical diagonalization of the Hamiltonian, we identify the various phases of the gas as the rotational frequency of the trap and the coupling between the…

Other Condensed Matter · Physics 2009-11-11 S. Bargi , G. M. Kavoulakis , S. M. Reimann

We study experimentally and numerically the equilibrium density profiles of a trapped two-dimensional $^{87}$Rb Bose gas, and investigate the equation of state of the homogeneous system using the local density approximation. We find a clear…

We investigate the breathing mode and the stability of a quantum droplet in a tightly trapped one-dimensional dipolar gas of bosonic atoms. When the droplet with a flat-top density profile is formed, the breathing mode frequency scales as…

Quantum Gases · Physics 2024-04-17 Edmond Orignac , Stefania De Palo , Luca Salasnich , Roberta Citro

The ground state of a gas of Bosons confined in an external trap potential and interacting via repulsive two-body forces has recently been shown to exhibit complete Bose-Einstein condensation in the dilute limit, yielding for the first time…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer

Motivated by recent experiments we study theoretically the dynamics of vortices in the crossover from two to one-dimension in atomic condensates in elongated traps. We explore the transition from the dynamics of a vortex to that of a dark…

Quantum Gases · Physics 2016-08-31 Marios C. Tsatsos , Matthew J. Edmonds , Nick G. Parker

We study the unitary dynamics of a one-dimensional gas of hard-core bosons trapped into a harmonic potential which varies periodically in time with frequency $\omega(t)$. Such periodic systems can be classified into orbits of different…

Statistical Mechanics · Physics 2018-04-10 Stefano Scopa , Jéremie Unterberger , Dragi Karevski

We discuss stability and phase coherence of 1D trapped Bose gases and find that inelastic decay processes, such as 3-body recombination, are suppressed in the strongly interacting (Tonks-Girardeau) and intermediate regimes. This is…

Statistical Mechanics · Physics 2009-11-07 D. M. Gangardt , G. V. Shlyapnikov

We study experimentally and theoretically a cold trapped Bose gas under critical rotation, i.e. with a rotation frequency close to the frequency of the radial confinement. We identify two regimes: the regime of explosion where the cloud…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Rosenbusch , D. S. Petrov , S. Sinha , F. Chevy , V. Bretin , Y. Castin , G. Shlyapnikov , J. Dalibard

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

In the study of trapped two-component Bose gases, a widely used dynamical protocol is to start from the ground state of a one-component condensate and then switch half the atoms into another hyperfine state. The slightly different…

Quantum Gases · Physics 2013-06-21 Ivana Vidanovic , N. J. van Druten , Masudul Haque

We study the quantum dynamics of a model for a vortex in a Bose gas with repulsive interactions in an anisotropic, harmonic trap. By solving the Schr\"odinger equation numerically, we show that the circulation of the vortex can undergo…

Mesoscale and Nanoscale Physics · Physics 2007-09-04 Gentaro Watanabe , C. J. Pethick

We suggested a method to estimate the quantum depletion of interacting Bose particles confined by a three dimensional harmonic trap.

Statistical Mechanics · Physics 2007-05-23 Sang-Hoon Kim

Bogolyubov-De Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the…

Atomic Physics · Physics 2015-06-26 P. Ohberg , E. L. Surkov , I. Tittonen , S. Stenholm , M. Wilkens , G. V. Shlyapnikov

Motivated by the recent rapid development of the field of quantum gases in optical lattices, we present a comprehensive study of the spectrum of ultracold atoms in a one-dimensional optical lattice subjected to a periodic lattice…

Quantum Gases · Physics 2011-10-11 Jia-Wei Huo , Fu-Chun Zhang , Weiqiang Chen , M. Troyer , U. Schollwöck

We report on the formation of a stable quantum degenerate mixture of fermionic $^6$Li and bosonic $^{133}$Cs in an optical trap by sympathetic cooling near an interspecies Feshbach resonance. New regimes of the quantum degenerate mixtures…

Quantum Gases · Physics 2017-12-12 B. J. DeSalvo , Krutik Patel , Jacob Johansen , Cheng Chin

Degenerate quantum gases are instrumental in advancing many-body quantum physics and underpin emerging precision sensing technologies. All state-of-the-art experiments use evaporative cooling to achieve the ultracold temperatures needed for…

We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Haarek Haugerud