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The recent discovery of the Lorentz symmetry-violating 'Type II' Weyl semimetal phase has renewed interest in the study of Weyl physics in condensed matter systems. However, tuning the exceptional properties of this novel state has remained…

Quantum Gases · Physics 2017-01-25 Kunal Shastri , Zhaoju Yang , Baile Zhang

We report on image processing techniques and experimental procedures to determine the lattice-site positions of single atoms in an optical lattice with high reliability, even for limited acquisition time or optical resolution. Determining…

Neutral atoms trapped by laser light are amongst the most promising candidates for storing and processing information in a quantum computer or simulator. The application certainly calls for a scalable and flexible scheme for addressing and…

We discuss the theory of mixtures of Bosonic and Fermionic atoms in periodic potentials at zero temperature. We derive a general Bose--Fermi Hubbard Hamiltonian in a one--dimensional optical lattice with a superimposed harmonic trapping…

Condensed Matter · Physics 2007-05-23 Alexander Albus , Fabrizio Illuminati , Jens Eisert

We present a method for the creation of closed-loop lattices for ultra-cold atoms using dressed potentials. We analytically describe the generation of trap lattices that are state-dependent, with dynamically controlled lattice depths and…

Atomic Physics · Physics 2019-09-04 Fabio Gentile , Jamie Johnson , Konstantinos Poulios , Thomas Fernholz

It is shown that the mean-field description of a boson-fermion mixture with a dominating fermionic component, loaded in a one-dimensional optical lattice, is reduced to the nonlinear Schr\"{o}dinger equation with a periodic potential and…

Other Condensed Matter · Physics 2007-05-23 Yu. V. Bludov , V. V. Konotop

We address the problem posed by the inhomogeneous trapping fields when using ultracold fermions to simulate strongly correlated electrons. As a starting point, we calculate the density of states for a single atom. Using semiclassical…

Statistical Mechanics · Physics 2007-05-23 C. Hooley , J. Quintanilla

A method of entanglement production is suggested, based on the resonant generation of topological modes in systems with Bose-Einstein condensates trapped in optical or magnetic lattices. The method makes it possible to regulate the strength…

Other Condensed Matter · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We propose the braiding of optical vortices in a laser beam with more than 2{\pi} rotation by superposing Bessel modes with a plane wave. We experimentally demonstrate this by using a Bessel-Gaussian beam and a coaxial Gaussian, and we…

Effective spin-orbit coupling can be created in cold atom systems using atom-light interaction. We study the BECs in an optical lattice using the Gross-Pitaevskii equation with spin-orbit coupling. Bloch states for the linear equation are…

Quantum Gases · Physics 2015-06-12 Hidetsugu Sakaguchi , Ben Li

Synthetic fields applied to ultracold quantum gases can realize topological phases that transcend conventional Bose and Fermi-liquid paradigms. Raman laser beams in particular are under scrutiny as a route to create synthetic fields in…

Strongly Correlated Electrons · Physics 2018-08-09 Hoi-Yin Hui , Mengsu Chen , S. Tewari , V. W. Scarola

Optical systems capable of generating fields with sub-wavelength spatial features have become standard in science and engineering research and industry. Pertinent examples include atom- and ion-based quantum computers and optical…

Atomic Physics · Physics 2025-11-18 Nikhil Kotibhaskar , Sainath Motlakunta , Anthony Vogliano , Lewis Hahn , Rajibul Islam

Atomic quantum gases in optical lattices serve as a versatile testbed for important concepts of modern condensed-matter physics. The availability of methods to characterize strongly correlated phases is crucial for the study of these…

Quantum Gases · Physics 2013-05-09 Bryce Gadway , Daniel Pertot , Jeremy Reeves , Dominik Schneble

The dispersion relation of ultracold atoms in variably shaped optical lattices can be tuned to resemble that of a relativistic particle, i.e. be linear instead of the usual nonrelativistic quadratic dispersion relation of a free atom. Cold…

Quantum Gases · Physics 2016-09-21 Christopher Grossert , Martin Leder , Martin Weitz

The work is devoted to the study of the correlation technique of formation of laser beams under conditions of the interaction of coherent fields spatially periodic in the transverse direction.\,\,It is aimed at the application of this…

Optics · Physics 2017-01-18 S. A. Bugaychuk , V. O. Gnatovskyy , A. M. Negriyko , I. I. Pryadko

We study the entangled states that can be generated using two species of atoms trapped in independently movable, two-dimensional optical lattices. We show that using two sets of measurements it is possible to measure a set of entanglement…

Quantum Physics · Physics 2010-12-23 Emilio Alba , Geza Toth , Juan Jose Garcia-Ripoll

We derive the Bosonic Dynamical Mean-Field equations for bosonic atoms in optical lattices with arbitrary lattice geometry. The equations are presented as a systematic expansion in 1/z, z being the number of lattice neighbors. Hence the…

Quantum Gases · Physics 2013-07-22 Michiel Snoek , Walter Hofstetter

Recognized for their non-diffracting properties, Bessel beams can be conveniently combined to generate the so-called Frozen Waves, which are monochromatic beams endowed with topological charge and whose longitudinal intensity pattern can be…

Laser-cooled and trapped cesium atoms have been used as a nonlinear medium in a nearly resonant cavity. A study of the semiclassical dynamics of the system was performed, showing bistability and instabilities. In the quantum domain,…

Quantum Physics · Physics 2015-06-26 A. Lambrecht , J. M. Courty , S. Reynaud , E. Giacobino

We present the theory for ultracold atomic gases in an optical lattice near a Feshbach resonance. In the single-band approximation the theory describes atoms and molecules which can both tunnel through the lattice. Moreover, an avoided…

Statistical Mechanics · Physics 2014-10-13 D. B. M. Dickerscheid , U. Al Khawaja , D. van Oosten , H. T. C. Stoof