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Ultracold molecules confined in optical lattices or tweezer traps can be used to process quantum information and simulate the behaviour of many-body quantum systems. Molecules offer several advantages for these applications. They have a…

Quantum Gases · Physics 2024-01-11 Simon L. Cornish , Michael R. Tarbutt , Kaden R. A. Hazzard

We discuss the quantum phase transition from the Mott-insulator state to the density-wave state for cold Bose atoms in a 2D square lattice as the lattice is adiabatically tilted along one of its primary axes. It is shown that a small…

Strongly Correlated Electrons · Physics 2016-03-23 Andrey R. Kolovsky

The Hubbard model underlies our understanding of strongly correlated materials. While its standard form only comprises interaction between particles at the same lattice site, its extension to encompass long-range interaction, which…

Quantum Gases · Physics 2016-04-22 S. Baier , M. J. Mark , D. Petter , K. Aikawa , L. Chomaz , Zi Cai , M. Baranov , P. Zoller , F. Ferlaino

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the…

Quantum Gases · Physics 2010-12-30 Rashi Sachdeva , Sonika Johri , Sankalpa Ghosh

We study light scattering from atoms in optical lattices at finite temperature. We examine the light scattered by fermions in the noninteracting regime and by bosons in the superfluid and Mott insulating regimes. We extend previous…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

We consider theoretically ultracold interacting bosonic atoms confined to quasi-one-dimensional ladder structures formed by optical lattices and coupled to the field of an optical cavity. The atoms can collect a spatial phase imprint during…

Quantum Gases · Physics 2018-01-03 Catalin-Mihai Halati , Ameneh Sheikhan , Corinna Kollath

We report our findings on quantum phase transitions in cold bosonic atoms in a one dimensional optical lattice using the finite size density matrix renormalization group method in the framework of the extended Bose-Hubbard model. We…

Quantum Gases · Physics 2015-05-13 Tapan Mishra , Ramesh V. Pai , S. Ramanan , Meetu Sethi Luthra , B. P. Das

We determine the superfluid transition temperatures $T_c$ and the ground states of the attractive Hubbard model and find new insulating phases associated with non-integer filling at sufficiently strong pairing attraction $|U|$. These…

Other Condensed Matter · Physics 2011-09-13 Chih-Chun Chien , Yan He , Qijin Chen , K. Levin

An optical lattice with cold trapped atoms represents a quantum system of fundamental importance as it enables the study of quantum many-body system in a controllable way. It is thus necessary to develop theoretical and experimental tools…

Quantum Physics · Physics 2025-09-03 Mehmet Emre Tasgin , Hyunchul Nha

This tutorial is a theoretical work, in which we study the physics of ultra-cold dipolar bosonic gases in optical lattices. Such gases consist of bosonic atoms or molecules that interact via dipolar forces, and that are cooled below the…

Quantum Gases · Physics 2015-05-27 C. Trefzger , C. Menotti , B. Capogrosso-Sansone , M. Lewenstein

Quantum simulations of vestigial orders in multi-orbital superfluids have been attracting continuous research interests in both cold atoms and condensed matter systems, as it provides valuable insights into the high-temperature…

Quantum Gases · Physics 2025-07-11 Zhongcheng Yu , Chengyang Wu , Chi Zhang , Xiaopeng Li , Xiaoji Zhou

We propose an arresting scheme for emulating the famous Faraday effect in ultracold atomic gases. Inspired by the similarities between the light field and bosonic atoms, we represent the light propagation in medium by the atomic transport…

Quantum Gases · Physics 2021-03-02 Zhen Zheng , Z. D. Wang

We suggest and analyze a new scheme to adiabatically cool bosonic atoms to picokelvin temperatures which should allow the observation of magnetic ordering via superexchange in optical lattices. The starting point is a gapped phase called…

Ultracold atoms in optical lattices have great potential to contribute to a better understanding of some of the most important issues in many-body physics, such as high-$T_c$ superconductivity. The Hubbard model describes many of the…

We design a model of correlated hopping for bosonic atoms in optical lattices. Such model exhibits three kinds of phases, comprehending a Mott insulator, a charge density wave and a pair quasi-condensate. The implementation of the model…

Other Condensed Matter · Physics 2008-06-07 Maria Eckholt , Juan Jose Garcia-Ripoll

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

Ultracold atoms uniformly filling an optical lattice can be treated like an artificial crystal. An implementation including the atomic occupation of a single excited atomic state can be represented by a two-component Bose-Hubbard model. Its…

Quantum Gases · Physics 2013-07-31 Hashem Zoubi , Helmut Ritsch

Within the combined potential of an optical lattice and a harmonic magnetic trap, it is possible to form matter wave packets by intensity modulation of the lattice. An analysis of the production and motion of these wave packets provides a…

We use ultracold spin--1/2 atomic fermions ($^6$Li) to realize the Hubbard model on a three-dimensional (3D) optical lattice. At relatively high temperatures and at densities near half-filling, we show that the gas forms a Mott insulator…

Quantum Gases · Physics 2015-12-17 Randall G. Hulet , Pedro M. Duarte , Russell A. Hart , Tsung-Lin Yang
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