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For the Bose-condensed gas confined in a magnetic trap and in a two-dimensional optical lattice, the non-uniform distribution of atoms in different lattice sites is considered based on Gross-Pitaevskii equation. A propagator method is used…

Soft Condensed Matter · Physics 2009-11-07 Shujuan Liu , Hongwei Xiong , Zhijun Xu , Guoxiang Huang

We study the extended Bose--Hubbard model describing an ultracold gas of dipolar molecules in an optical lattice, taking into account all on-site and nearest-neighbor interactions, including occupation-dependent tunneling and pair tunneling…

Quantum Gases · Physics 2013-04-10 Tomasz Sowiński , Omjyoti Dutta , Philipp Hauke , Luca Tagliacozzo , Maciej Lewenstein

We provide an analytical description of the dynamics of an atom in an optical lattice using the method of perturbative adiabatic expansion. A precise understanding of the lattice-atom interaction is essential to taking full advantage of the…

Atomic Physics · Physics 2015-05-14 Tim Kovachy , Jason M. Hogan , David M. S. Johnson , Mark A. Kasevich

Spin squeezing in atomic ensembles enables atom interferometry with sensitivities below the shot-noise limit, but the associated entanglement is highly susceptible to loss, making imperfections in atom optics a central limitation. Bragg…

Quantum Physics · Physics 2026-05-22 Christian Miguel Karres , Daniel Derr , Enno Giese

In atom optics a material structure is commonly regarded as an amplitude mask for atom waves. However, atomic diffraction patterns formed using material gratings indicate that material structures also operate as phase masks. In this study a…

Atomic Physics · Physics 2007-05-23 John D. Perreault , Alexander D. Cronin , T. A. Savas

Atom-surface interactions can significantly modify the intensity and phase of atom de Broglie waves diffracted by a silicon nitride grating. This affects the operation of a material grating as a coherent beam splitter. The phase shift…

Atomic Physics · Physics 2009-11-11 John D. Perreault , Alexander D. Cronin

In nearly all experiments with ultracold atoms time-of-flight pictures are the only data available. In this paper we present an analytical strong-coupling calculation for those time-of-flight pictures of bosons in an optical lattice in the…

Statistical Mechanics · Physics 2015-05-13 Alexander Hoffmann , Axel Pelster

We present a non-perturbative analysis of a new experimental technique for probing ultracold bosons in an optical lattice by periodic lattice depth modulations. This is done using the time-dependent density-matrix renormalization group…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , A. Iucci , T. Giamarchi , W. Hofstetter , U. Schollwoeck

We report the observation of quantum dynamical oscillations of ultracold atomic gases in the F and D bands of a single-well optical lattice. We are able to control the Bragg reflections at the Brillouin zone edge up to the third order. As a…

Quantum Gases · Physics 2016-09-28 Zhongkai Wang , Baoguo Yang , Dong Hu , Xuzong Chen , Hongwei Xiong , Biao Wu , Xiaoji Zhou

The use of a dynamic "accordion" lattice with ultracold atoms is demonstrated. Ultracold atoms of $^{87}$Rb are trapped in a two-dimensional optical lattice, and the spacing of the lattice is then increased in both directions from 2.2 to…

Quantum Gases · Physics 2010-08-13 S. Al-Assam , R. A. Williams , C. J. Foot

We predict the existence of spatially localized nontrivial vortex states of a Bose-Einstein condensate with repulsive atomic interaction confined by a three-dimensional optical lattice. Such vortex-like structures include planar vortices,…

Other Condensed Matter · Physics 2007-05-23 Tristram J. Alexander , Elena A. Ostrovskaya , Andrey A. Sukhorukov , Yuri S. Kivshar

We investigate imaging of the spatial spin distribution of atoms in optical lattices using non-resonant light scattering. We demonstrate how scattering spatially correlated light from the atoms can result in spin state images with enhanced…

Quantum Physics · Physics 2010-09-30 James Douglas , Keith Burnett

We explore the use of first and second order same-time atomic spatial correlation functions as a diagnostic for probing the small scale spatial structure of atomic samples trapped in optical lattices. Assuming an ensemble of equivalent…

Quantum Physics · Physics 2015-06-26 John P. Grondalski , Paul M. Alsing , Ivan H. Deutsch

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of correct self-consistent description of arbitrary systems with Bose-Einstein condensate are formulated. Theoretical methods for describing regular…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov

We introduce a matter wave interference scheme based on the quantization of orbital angular momentum in a ring trap. It operates without beam splitters, is sensitive to geometric phases induced by external gauge fields, and allows measuring…

Quantum Physics · Physics 2021-04-01 Filip Kiałka , Benjamin A. Stickler , Klaus Hornberger

We explore the ground-state properties of bosons with dipole-dipole interactions in a one-dimensional optical lattice. Remarkably, a crystallization process happens for strong dipolar interactions. Herein, we provide a detailed…

Quantum Gases · Physics 2018-12-05 Budhaditya Chatterjee , Axel U. J. Lode

Veselago pointed out that electromagnetic wave theory allows for materials with a negative index of refraction, in which most known optical phenomena would be reversed. A slab of such a material can focus light by negative refraction, an…

Optics · Physics 2014-02-17 Martin Leder , Christopher Grossert , Martin Weitz

The interaction between light and vapors in the presence of magnetic fields is fundamental to many quantum technologies and applications. Recently, the ability to geometrically confine atoms into periodic structures has enabled the creation…

Applied Physics · Physics 2025-05-20 Ori Nefesh , Heleni Krelman , Kfir Levi , Liron Stern

Quantum optics has been a major driving force behind the rapid experimental developments that have led from the first laser cooling schemes to the Bose-Einstein condensation (BEC) of dilute atomic and molecular gases. Not only has it…

Quantum Physics · Physics 2016-09-08 D. Meiser , T. Miyakawa , H. Uys , P. Meystre

We observe the build-up of a matter wave interference pattern from single atom detection events in a double-slit experiment. The interference arises from two overlapping atom laser beams extracted from a Rubidium Bose-Einstein condensate.…

Statistical Mechanics · Physics 2009-11-11 T. Bourdel , T. Donner , S. Ritter , A. Öttl , M. Köhl , T. Esslinger