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This chapter presents an overview of the properties of a Bose-Einstein condensate (BEC) trapped in a periodic potential. This system has attracted a wide interest in the last years, and a few excellent reviews of the field have already…

Statistical Mechanics · Physics 2015-05-13 A. Smerzi , A. Trombettoni

We study the rotational properties of a dipolar Bose-Einstein condensate confined in a quasi-two- dimensional anisotropic trap, for an arbitrary orientation of the dipoles with respect to their plane of motion. Within the mean-field…

Quantum Gases · Physics 2011-05-12 F. Malet , T. Kristensen , S. M. Reimann , G. M. Kavoulakis

For spin one atoms localized in a quadrapole magnetic field gradient, the atoms may be impeded from spin flipping their way out from the center of the trap by the application of a rotating uniform magnetic field. From a quantum mechanical…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

We study theoretically a gas consisting of charged bosons (ions) over the flat dielectric surface at low temperatures and its tendency to form a state with a Bose-Einstein condensate. For the stability of a system, an additional external…

Quantum Gases · Physics 2021-09-22 I. V. Lukin , A. G. Sotnikov , Yu. V. Slyusarenko

We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

Quantum Gases · Physics 2009-11-05 G. Malpuech , D. Solnyshkov

Bose Einstein condensation of exciton-polaritons has recently been reported in homogeneous structures only affected by random in-plane fluctuations. We have taken advantage of the ubiquitous defects in semiconductor microcavities to reveal…

Mesoscale and Nanoscale Physics · Physics 2009-12-03 D. Sanvitto , A. Amo , L. Vina , R. Andre , D. Solnyshkov , G. Malpuech

We present an efficient three-dimensional dark-focus optical trapping potential for neutral atoms and Bose-Einstein condensates. This "optical bottle" is created by a single blue-detuned light field exploiting the phenomenon of conical…

Quantum Gases · Physics 2024-10-29 D. Pfeiffer , L. Lind , J. Küber , F. Schmaltz , A. Turpin , V. Ahufinger , J. Mompart , G. Birkl

Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for a very large particle mass, the dynamics…

Analysis of PDEs · Mathematics 2015-05-20 Juerg Froehlich , Zhou Gang , Avy Soffer

We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order $N^{-1+\kappa}$, for $\kappa>0$. Assuming that $\kappa\in (0;1/43)$, we show that low-energy states of the system…

Mathematical Physics · Physics 2021-04-07 Arka Adhikari , Christian Brennecke , Benjamin Schlein

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

We study theoretically Bose-Einstein condensates with polarized dipolar interactions in anisotropic traps. We map the parameter space by varying the trap frequencies and dipolar interaction strengths and find an irregular-shaped region of…

Quantum Gases · Physics 2012-11-28 A. D. Martin , P. B. Blakie

We obtain the dynamics in number and phase difference, for Bose condensates that tunnel between two wells of a double-well atomic trap, using the (nonlinear) Gross-Pitaevskii equation.The dynamical equations are of the canonical form for…

Other Condensed Matter · Physics 2015-06-25 Subodh R. Shenoy

Bose-Einstein condensates have been produced in an optical box trap. This novel optical trap type has strong confinement in two directions comparable to that which is possible in an optical lattice, yet produces individual condensates…

Other Condensed Matter · Physics 2009-11-11 T. P. Meyrath , F. Schreck , J. L. Hanssen , C. -S. Chuu , M. G. Raizen

A quantum model of Bose-Einstein condensation based on processes involving polaritons excited in an intracavity absorbing cell with resonance atoms, which is manifested in the spectral characteristics of the system, is considered. It is…

We consider a quasi two-dimensional atomic Bose Einstein condensate interacting with a near-resonant laser field that is back-reflected onto the condensate by a planar mirror. We show that this single-mirror optical feedback leads to an…

Atomic Physics · Physics 2018-08-22 Yong-Chang Zhang , Valentin Walther , Thomas Pohl

We perform fully three-dimensional simulations, using the truncated Wigner method, to investigate the reflection of Bose-Einstein condensates from abrupt potential barriers. We show that the inter-atomic interactions can disrupt the…

Other Condensed Matter · Physics 2009-11-11 R. G. Scott , D. A. W. Hutchinson , C. W. Gardiner

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

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 dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

We consider a simple experimental setup, based on a harmonic confinement, where a Bose-Einstein condensate and a thermal cloud of weakly interacting alkali atoms are trapped in two different vessels connected by a narrow channel. Using the…

Quantum Gases · Physics 2012-12-12 Tomasz Karpiuk , Benoit Gremaud , Christian Miniatura , Mariusz Gajda
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