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These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

Condensed Matter · Physics 2022-03-23 Yvan Castin

Light transmission or diffraction from different quantum phases of cold atoms in an optical lattice has recently come up as a useful tool to probe such ultra cold atomic systems. The periodic nature of the optical lattice potential closely…

Quantum Gases · Physics 2015-03-20 Adhip Agarwala , Madhurima Nath , Jasleen Lugani , K. Thyagarajan , Sankalpa Ghosh

We investigate the prospects of atomic interference using samples of Bose condensed atoms. First we show the ability of two independent Bose condensates to create an interference pattern, even if both condensates are described by Fock…

atom-ph · Physics 2009-10-28 M. Naraschewski , H. Wallis , A. Schenzle , J. I. Cirac , P. Zoller

Symmetry and reciprocity constraints on polarization state of the field diffracted by gratings of quasi-planar particles are considered. It is shown that the optical activity effects observed recently in arrays of quasi-planar plasmonic…

Optics · Physics 2015-05-13 S. I. Maslovski , D. K. Morits , S. A. Tretyakov

Through considering a two-component dipolar Bose-Einstein condensate, we investigate the influence of the angle between the polarization orientations of the two species on the ground states, and show that the miscibility between the two…

Quantum Gases · Physics 2024-05-22 Liang-Jun He , Bo Liu , Yong-Chang Zhang

We observed quantum reflection of ultracold atoms from the attractive potential of a solid surface. Extremely dilute Bose-Einstein condensates of ^{23}Na, with peak density 10^{11}-10^{12}atoms/cm^3, confined in a weak gravito-magnetic trap…

The relative phase of two initially independent Bose-Einstein condensates can be laser cooled to unite the two condensates by putting them into a ring cavity and coupling them with an internal Josephson junction. First, we show that this…

Condensed Matter · Physics 2009-11-07 D. Jaksch , S. A. Gardiner , K. Schulze , J. I. Cirac , P. Zoller

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

Quasiparticles and their interactions are a key part of our understanding of quantum many-body systems. Quantum simulation experiments with cold atoms have in recent years advanced our understanding of isolated quasiparticles, but so far…

The atom - electromagnetic field interaction is studied in the Dicke model, wherein a single field mode is interacting with a collection of two level atoms at thermal equilibrium. It is found that in the superradiant phase of the system,…

Optics · Physics 2017-12-18 Vivek M. Vyas , Prasanta K. Panigrahi , V. Srinivasan

We study the coherence properties of an atom laser, which operates by extracting atoms from a gaseous Bose-Einstein condensate via a two-photon Raman process, by analyzing a recent experiment. We obtain good agreement with the experimental…

Condensed Matter · Physics 2009-10-31 M. Trippenbach , Y. B. Band , M. Edwards , M. Doery , P. S. Julienne

Polarization textures of light may reflect fundamental phenomena such as topological defects, and can be utilized in engineering light beams. Three main routes are applied during their creation: spontaneous appearance in phase transitions,…

Optics · Physics 2021-07-07 Jani M. Taskinen , Pavel Kliuiev , Antti J. Moilanen , Päivi Törmä

We investigate the atomic diffractions of a Bose-Einstein condensate in quantized light fields. Situations in which the light fields are in number states or coherent states are studied theoretically. Analytical derivation and numerical…

Quantum Gases · Physics 2013-05-29 Peng Zhang , Jian-Hua Wu , Zhao-Yuan Ma , Heng Fan , Wu-Ming Liu

The behavior of a Bose-Einstein ideal gas of particles in a three dimensional space in the presence of a uniform field, such as gravity, and of contact interaction, describing the presence of one impurity, is investigated. It is shown that…

Statistical Mechanics · Physics 2007-05-23 Roberto Soldati , Alberto Zannoni

We present a free-space interferometer to observe two-particle interference of a pair of atoms with entangled momenta. The source of atom pairs is a Bose--Einstein condensate subject to a dynamical instability, and the interferometer is…

The interaction of the electromagnetic field with a two dimensional plasma sheet intended to describe the pi-electrons of a carbon nano-tube or a $C_{60}$ molecule is investigated. By integrating out first the displacement field of the…

Quantum Physics · Physics 2009-11-13 M. Bordag

The density of two {\it initially independent} condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Two situations are separately discussed and compared: (1) all…

Other Condensed Matter · Physics 2007-05-23 L. S. Cederbaum , A. I. Streltsov , Y. B. Band , O. E. Alon

We take a closer look at the fundamental Casimir-Polder interaction between quantum particles and dispersive dielectric surfaces with surface polariton or plasmon resonances. Linear response theory shows that in the near field, van der…

Atomic Physics · Physics 2015-06-11 A. Laliotis , M. Ducloy

We perform a theoretical analysis of atomic four-wave mixing via a collision of two Bose-Einstein condensates of metastable helium atoms, and compare the results to a recent experiment. We calculate atom-atom pair correlations within the…