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Optical lattices have emerged as ideal simulators for Hubbard models of strongly correlated materials, such as the high-temperature superconducting cuprates. In optical lattice experiments, microscopic parameters such as the interaction…

Quantum Gases · Physics 2011-06-23 D. McKay , B. DeMarco

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

We describe a simple scheme by which "optical flux lattices" can be implemented in ultracold atomic gases using two-photon dressed states. This scheme can be applied, for example, to the ground state hyperfine levels of commonly used atomic…

Quantum Gases · Physics 2011-09-09 Nigel R. Cooper , Jean Dalibard

Scalable, coherent many-body systems can enable the realization of previously unexplored quantum phases and have the potential to exponentially speed up information processing. Thermal fluctuations are negligible and quantum effects govern…

We describe the behavior of a system of fermionic atoms loaded in a bipartite one-dimensional optical lattice that is under the action of an external time-periodic driving force. By using Floquet theory, an effective model with renormalized…

Quantum Gases · Physics 2014-09-05 M. Di Liberto , D. Malpetti , G. I. Japaridze , C. Morais Smith

It is shown theoretically how to directly obtain the energy distribution of a weakly interacting gas of bosons confined in an optical lattice in the tight-binding limit. This is accomplished by adding a linear potential to a suitably…

Statistical Mechanics · Physics 2009-11-13 David L. Feder

We discuss a sympathetic cooling strategy that can successfully mitigate fermion-hole heating in a dilute atomic Fermi-Bose mixture and access the temperature regime in which the fermions behave as a Fermi liquid. We introduce an…

Statistical Mechanics · Physics 2009-11-11 Robin Cote` , Roberto Onofrio , Eddy Timmermans

Sympathetic cooling with ultracold atoms and atomic ions enables ultralow temperatures in systems where direct laser or evaporative cooling is not possible. It has so far been limited to the cooling of other microscopic particles, with…

These lecture notes review recent progress in studying the Fermi-Hubbard model using ultracold gases in optical lattices. We focus on results from quantum gas microscope experiments that have allowed site-resolved measurements of charge and…

Quantum Gases · Physics 2025-07-08 Waseem S. Bakr , Zengli Ba , Max L. Prichard

We analyse a laser assisted sympathetic cooling scheme for atoms within the lowest Bloch band of an optical lattice. This scheme borrows ideas from sub-recoil laser cooling, implementing them in a new context in which the atoms in the…

Other Condensed Matter · Physics 2009-01-15 A. Griessner , A. J. Daley , S. R. Clark , D. Jaksch , P. Zoller

We present a scheme to cool the motional state of neutral atoms confined in sites of an optical lattice by immersing the system in a superfluid. The motion of the atoms is damped by the generation of excitations in the superfluid, and under…

Quantum Physics · Physics 2009-09-29 A. J. Daley , P. O. Fedichev , P. Zoller

We propose an experimental scheme to favor both the realization and the detection of the N\'eel state in a two-component gas of ultracold fermions in a three-dimensional simple-cubic optical lattice. By adding three compensating Gaussian…

Quantum Gases · Physics 2012-08-16 Charles J. M. Mathy , David A. Huse , Randall G. Hulet

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 investigate the many-body dissipative dynamics of fermionic atoms in an optical lattice in the presence of incoherent light scattering. Deriving and solving a master equation to describe this process microscopically for many particles,…

Quantum Gases · Physics 2015-01-16 Saubhik Sarkar , Stephan Langer , Johannes Schachenmayer , Andrew J. Daley

We propose and analyse a scheme to cool atoms in an optical lattice to ultra-low temperatures within a Bloch band, and away from commensurate filling. The protocol is inspired by ideas from dark state laser cooling, but replaces electronic…

Other Condensed Matter · Physics 2009-01-15 A. Griessner , A. J. Daley , S. R. Clark , D. Jaksch , P. Zoller

We theoretically investigate finite-temperature thermodynamics and demagnetization cooling of two-component Bose-Bose mixtures in a cubic optical lattice, by using bosonic dynamical mean field theory (BDMFT). We calculate the…

Quantum Gases · Physics 2012-03-22 Y. Q. Li , M. Reza Bakhtiari , L. He , W. Hofstetter

Interesting spin Hamiltonians can be realized with ultracold atoms in a two-component Mott insulator (2CMI). It was recently demonstrated that the application of a magnetic field gradient to the 2CMI enables new techniques of thermometry…

Collisions with cold particles can dissipate the energy of a hot particle and therefore be exploited as a cooling mechanism. Kinetics teaches us that for a particle to be cooled down by several orders of magnitude, it will typically take…

Atomic Physics · Physics 2021-08-11 Amir Mahdian , Artjom Krükow , Johannes Hecker Denschlag

We investigate the thermodynamic properties of a half-filled SU(2N) Fermi-Hubbard model in the two-dimensional square lattice using the determinantal quantum Monte Carlo simulation, which is free of the fermion "sign problem". The large…

Quantum Gases · Physics 2013-06-06 Zi Cai , Hsiang-hsuan Hung , Lei Wang , Dong Zheng , Congjun Wu

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