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The semi-classical theory of radiation-matter coupling misses local-field effects that may alter the pulse time-ordering and cascading that leads to the generation of new signals. These are then introduced macroscopically by solving…

Quantum Physics · Physics 2015-06-18 Kochise Bennett , Shaul Mukamel

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

We give a brief overview of recent studies of weakly bound homonuclear molecules in ultracold two-component Fermi gases. It is emphasized that they represent novel composite bosons, which exhibit features of Fermi statistics at short…

Statistical Mechanics · Physics 2007-05-23 D. S. Petrov , C. Salomon , G. V. Shlyapnikov

This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a…

Analysis of PDEs · Mathematics 2016-11-15 Christos Sourdis

We develop a semi-classical field method for the study of the weakly interacting Bose gas at finite temperature, which, contrarily to the usual classical field model, does not suffer from an ultraviolet cut-off dependence. We apply the…

Other Condensed Matter · Physics 2009-11-13 Luca Giorgetti , Iacopo Carusotto , Yvan Castin

We develop a hydrodynamic representation of the Klein-Gordon-Maxwell-Einstein equations. These equations combine quantum mechanics, electromagnetism, and general relativity. We consider the case of an arbitrary curved spacetime, the case of…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Pierre-Henri Chavanis , Tonatiuh Matos

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

We present a complete recipe to extract the density-density correlations and the static structure factor of a two-dimensional (2D) atomic quantum gas from in situ imaging. Using images of non-interacting thermal gases, we characterize and…

Quantum Gases · Physics 2011-09-05 Chen-Lung Hung , Xibo Zhang , Li-Chung Ha , Shih-Kuang Tung , Nathan Gemelke , Cheng Chin

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

The stationary problem of light interaction with a dense collection of two-level atoms embedded in a dielectric is treated semiclassically. The effect of dielectric absorption on the phenomenon of intrinsic optical bistability is discussed…

Optics · Physics 2015-05-20 Denis V. Novitsky

We use a coherent Bragg diffraction method to impart an external momentum to ultracold bosonic atoms trapped in a one-dimensional optical lattice. This method is based on the application of a single light pulse, with conditions where…

Quantum Gases · Physics 2015-05-27 Xinxing Liu , Xiaoji Zhou , Wei Zhang , Thibault Vogt , Bo Lu , Xuguang Yue , Xuzong Chen

We propose a method to detect the microwave magnetic-field gradient by using a pair of entangled two-component Bose-Einstein condensates. We consider the two spatially separated condensates to be coupled to the two different magnetic…

Quantum Physics · Physics 2013-04-17 H. T. Ng

Ultracold atomic quantum gases belong to the most exciting challenges of modern physics. Their theoretical description has drawn much from classical field equations. These mean-field approximations are in general reliable for dilute gases…

Other Condensed Matter · Physics 2009-11-13 Thomas Gasenzer

In the framework of mean-field approximation the dynamics of Bose-Einstein condensates can be described by the hydrodynamic-like equations. These equations are analyzed here with account of mutual interaction between condensate and…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov

The expansion of an initially confined Bose-Einstein condensate into either free space or a tilted optical lattice is investigated in a mean-field approach. The effect of the interactions is to enhance or suppress the transport depending on…

Quantum Gases · Physics 2017-12-29 Samy Mailoud Sekkouri , Sandro Wimberger

Repulsive Bose-Einstein condensates immersed into a double-well trap potential are studied within the framework of the recently introduced mean-field approach which allows for bosons to reside in several different orthonormal orbitals. In…

Other Condensed Matter · Physics 2009-11-10 Alexej I. Streltsov , Lorenz S. Cederbaum

We consider laser-pumped one-dimensional two-component bosons in a parabolic trap embedded in a high-finesse optical cavity. Above a threshold pump power, the photons that populate the cavity modify the effective atom trap and mediate a…

Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these…

Quantum Gases · Physics 2018-04-02 Silas R. Beane

Double-well systems loaded with one, two, or many quantum particles give rise to intriguing dynamics, ranging from Josephson oscillation to self-trapping. This work presents theoretical and experimental results for two distinct double-well…

Quantum Gases · Physics 2020-06-25 Q. Guan , T. M. Bersano , S. Mossman , P. Engels , D. Blume

Due to its coherence properties and high optical depth, a Bose-Einstein condensate provides an ideal setting to investigate collective atom-light interactions. Superradiant light scattering in a Bose-Einstein condensate is a fascinating…

Quantum Physics · Physics 2016-08-02 J. H. Müller , D. Witthaut , R. le Targat , J. J. Arlt , E. S. Polzik , A. J. Hilliard
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