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We study the effective Bloch-wave scattering of a spinless Fermi gas in one-dimensional (1D) optical lattices. By tuning the odd-wave scattering length, we find multiple resonances of Bloch-waves scattering at the bottom (and the top) of…

Quantum Gases · Physics 2017-06-01 Xiaoling Cui

A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near unitarity--a strongly coupled regime…

High Energy Physics - Lattice · Physics 2015-03-17 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson

The possibility of using ultracold atoms to observe strong localization of matter waves is now the subject of a great interest, as undesirable decoherence and interactions can be made negligible in these systems. It was proposed that a…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pietro Massignan , Yvan Castin

In order to observe many-body localisation in electronic systems, decoupling from the lattice phonons is required, which is possible only in out-of-equilibrium systems. We show that such an electron-phonon decoupling may happen in suspended…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 George McArdle , Igor V. Lerner

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

High Energy Physics - Lattice · Physics 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

We explore the rich nature of correlations in the ground state of ultracold atoms trapped in state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or strontium atoms, realizing a two-orbital Hubbard…

We introduce an approach to describe quantum-coherent evolution of a system of cold atoms in an optical lattice triggered by a change in superlattice potential. Using a time-dependent mean field description, we map the problem to a strong…

Strongly Correlated Electrons · Physics 2008-06-30 M. B. Hastings , L. S. Levitov

Most experiments with ultracold atoms in optical lattices have contact interactions, and therefore operate at high densities of around one atom per site to observe the effect of strong interactions. Strong ranged interactions can be…

Quantum Physics · Physics 2023-06-06 Daniel Malz , J. Ignacio Cirac

Few-body hadronic observables play an essential role in a wide number of processes relevant for both particle and nuclear physics. In order for Lattice QCD to offer insight into the interpretation of few-body states, a theoretical…

High Energy Physics - Lattice · Physics 2014-11-26 Raúl A. Briceño

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

Quantum Gases · Physics 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

We study atoms trapped with a harmonic confinement in an optical lattice characterized by a flat band and Dirac cones. We show that such an optical lattice can be constructed which can be accurately described with the tight binding or…

Strongly Correlated Electrons · Physics 2015-05-19 V. Apaja , M. Hyrkäs , M. Manninen

We propose a microscopic model to describe the scattering of light by atoms in optical lattices. The model is shown to efficiently capture Bragg scattering, spontaneous emission and photonic band gaps. A connection to the transfer matrix…

Atomic Physics · Physics 2015-03-31 M. Samoylova , N. Piovella , R. Bachelard , Ph. W. Courteille

We show that by coupling two hyperfine states of an atom in an optical lattice one can independently control two-, three-, and four-body on-site interactions in a non-perturbative manner. In particular, under typical conditions of current…

Quantum Gases · Physics 2014-08-13 D. S. Petrov

We report on the observation of a high-density, band insulating state in a three-dimensional optical lattice clock. Filled with a nuclear-spin polarized degenerate Fermi gas of 87Sr, the 3D lattice has one atom per site in the ground…

Atomic Physics · Physics 2023-07-12 W. R. Milner , L. Yan , R. B. Hutson , C. Sanner , J. Ye

The fields of quantum simulation with cold atoms [1] and quantum optics [2] are currently being merged. In a set of recent pathbreaking experiments with atoms in optical cavities [3,4] lattice quantum many-body systems with both, a…

Quantum Gases · Physics 2018-04-20 Jan Gelhausen , Michael Buchhold , Achim Rosch , Philipp Strack

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 propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

Other Condensed Matter · Physics 2008-07-01 Johan Mentink , Servaas Kokkelmans

We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to $N$-particle bound states, and a continuum band of…

Quantum Gases · Physics 2019-02-13 Piero Naldesi , Juan Polo Gomez , Anna Minguzzi , Boris Malomed , Maxim Olshanii , Luigi Amico

A mixture of spin-polarized light and heavy fermionic atoms on a finite size 2D optical lattice is considered at various temperatures and values of the coupling between the two atomic species. In the case, where the heavy atoms are immobile…

Statistical Mechanics · Physics 2007-05-23 C. Ates , K. Ziegler

Tailoring the properties of correlated oxides is accomplished by chemical doping, pressure, temperature or magnetic field. Photoexcitation is a valid alternative to reach out-of-equilibrium states otherwise inaccessible. Here, we…