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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 revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

We discuss the Bloch-state solutions of the stationary Gross-Pitaevskii equation and of the Bogoliubov equations for a Bose-Einstein condensate in the presence of a one-dimensional optical lattice. The results for the compressibility,…

Condensed Matter · Physics 2007-05-23 Meret Kraemer , Chiara Menotti , Lev Pitaevskii , Sandro Stringari

This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

It is a deceptively simple question to ask how acoustic disturbances propagate in a non-homogeneous flowing fluid. This question can be answered by invoking the language of Lorentzian differential geometry: If the fluid is barotropic and…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Matt Visser

Superfluids are distinguished from ordinary fluids by the quantized manner the rotation is manifested in them. Precisely, quantized vortices are known to appear in the bulk of a superfluid subject to external rotation. In this work we study…

Quantum Gases · Physics 2015-10-09 Marios C. Tsatsos , Axel U. J. Lode

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the…

The behaviors of a rapid rotating Bose-Einstein condensate under extreme elongation in a 2D anisotropic harmonic plus quartic trap are investigated. Due to the quartic trap, the system remains stable at high rotating velocity, $\Omega\geq…

Other Condensed Matter · Physics 2012-06-13 C. C. Huang , C. H. Liu , W. C. Wu

We study the robustness of the spectrum emitted by an acoustic black hole by considering series of stationary flows that become either subsonic or supersonic, i.e. when the horizon disappears. We work with the superluminal Bogoliubov…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Stefano Finazzi , Renaud Parentani

We investigate the quantum tunneling of a Bose-Einstein condensate confined in a optical trap. We show that periodic pulses of coherent matter are emitted from the trap by using an oscillating energy barrier. Moreover, the emitted fraction…

Statistical Mechanics · Physics 2007-05-23 Luca Salasnich

We study the mutual interaction of a Bose-Einstein condensed gas with a single mode of a high-finesse optical cavity. We show how the cavity transmission reflects condensate properties and calculate the self-consistent intra-cavity light…

Condensed Matter · Physics 2009-10-31 Peter Horak , Stephen M. Barnett , Helmut Ritsch

We study the effect of the transverse degrees of freedom on the velocity of sound in a Bose-Einstein condensate immersed in a one-dimensional optical lattice and radially confined by a harmonic trap. We compare the results of full…

Statistical Mechanics · Physics 2009-11-10 Meret Kraemer , Chiara Menotti , Michele Modugno

We study the flow of a spinor (F=1) Bose-Einstein condensate in the presence of an obstacle. We consider the cases of ferromagnetic and polar spin-dependent interactions and find that the system demonstrates two speeds of sound that are…

Vortex configurations in rotating Bose-Einstein condensed gases trapped in power-law and anharmonic potentials are studied. When the confining potential is steeper than harmonic in the plane perpendicular to the axis of rotation, vortices…

Condensed Matter · Physics 2009-11-07 Emil Lundh

We study the low energy phonon dynamics of a Bose-Einstein condensate (BEC) with a density profile that is equivalent, via a coordinate transformation, to phonons traveling in a \lq\lq spherical\rq\rq\ curved spacetime that realizes the…

Quantum Gases · Physics 2025-08-06 J. Austin Chunn , Ruotong Zhai , Daniel E. Sheehy

We study the propagation of sound waves in a Bose-Einstein condensate trapped in a one-dimensional optical lattice. We find that the velocity of propagation of sound wavepackets decreases with increasing optical lattice depth, as predicted…

Soft Condensed Matter · Physics 2009-11-10 C. Menotti , M. Kramer , A. Smerzi , L. Pitaevskii , S. Stringari

Within a variational approach to solve the Gross-Pitaevskii equation we investigate dynamical properties of a rotating Bose-Einstein condensate which is confined in an anharmonic trap. In particular, we calculate the eigenfrequencies of…

Statistical Mechanics · Physics 2015-05-13 Sebastian Kling , Axel Pelster

At zero temperature, a Galilean-invariant Bose fluid is expected to be fully superfluid. Here we investigate theoretically and experimentally the quenching of the superfluid density of a dilute Bose-Einstein condensate due to the breaking…

We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase…

Other Condensed Matter · Physics 2009-11-13 Kenichi Kasamatsu , Makoto Tsubota

A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent…

Statistical Mechanics · Physics 2009-11-10 Alexander L. Fetter , B. Jackson , S. Stringari