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Long-range and multi-body interactions are crucial for quantum simulation and quantum computation. Yet, their practical realization using elementary pairwise interactions remains an outstanding challenge. We propose an experimental scheme…

Quantum Physics · Physics 2026-05-19 Runmin Wu , Bing Yang , Pieter W. Claeys , Hongzheng Zhao

We propose a numerical method using the discrete variable representation (DVR) for constructing real-valued Wannier functions localized in a unit cell for both symmetric and asymmetric periodic potentials. We apply these results to finding…

Quantum Gases · Physics 2016-09-14 Saurabh Paul , Eite Tiesinga

We investigate two-body collisions occurring during the time-of-flight expansion of interacting three-dimensional lattice Bose superfluids. The number of collisions is extracted from the observed s-wave scattering halos located between the…

Quantum Gases · Physics 2020-01-15 Antoine Tenart , Cécile Carcy , Hugo Cayla , Thomas Bourdel , Marco Mancini , David Clément

We investigate the ground state properties of a lattice trapped bosonic system coupled to a Lieb-Liniger type gas. Our main goal is the description and in depth exploration and analysis of the two-species many-body quantum system including…

Quantum Gases · Physics 2018-04-04 Kevin Keiler , Sven Krönke , Peter Schmelcher

The electronic properties of monolayer tin dulsulphide (ML-SnS2), a recently synthesized metal dichalcogenide, are studied by a combination of first-principles calculations and tight-binding (TB) approximation. An effective lattice…

Computational Physics · Physics 2018-06-20 Jin Yu , Edo van Veen , Mikhail I. Katsnelson , Shengjun Yuan

Exact diagonalization techniques are a powerful method for studying many-body problems. Here, we apply this method to systems of few bosons in an optical lattice, and use it to demonstrate the emergence of interesting quantum phenomena like…

Quantum Gases · Physics 2017-05-22 David Raventós , Tobias Graß , Maciej Lewenstein , Bruno Juliá-Díaz

We propose that by exciting ultra cold atoms from the zeroth to the first Bloch band in an optical lattice, novel multi-flavor bosonic Hubbard Hamiltonians can be realized in a new way. In these systems, each flavor hops in a separate…

Other Condensed Matter · Physics 2009-11-11 A. Isacsson , S. M. Girvin

By a canonical transformation of the three-band Hubbard model, we introduce an effective Hamiltonian for the propagation of two holes doped into the ground state of the Cu-O plane. When the pair belongs to the $^{1}B_{2}$ or $% ^{1}A_{2}$…

Superconductivity · Physics 2007-05-23 Michele Cini , Gianluca Stefanucci , Adalberto Balzarotti

We observe the dissipative dynamics of a dense, strongly interacting gas of bosonic atom pairs in an optical lattice, controlling the strength of the two-body interactions over a wide parameter regime. We study how three-body losses…

Quantum Gases · Physics 2020-10-14 M. J. Mark , S. Flannigan , F. Meinert , K. Jag-Lauber , J. P. D'Incao , A. J. Daley , H. -C. Nägerl

We use a coherent Bragg diffraction method to impart an external momentum to ultracold bosonic atoms trapped in a one-dimensional optical lattice. This method is based on the application of a single light pulse, with conditions where…

Quantum Gases · Physics 2015-05-27 Xinxing Liu , Xiaoji Zhou , Wei Zhang , Thibault Vogt , Bo Lu , Xuguang Yue , Xuzong Chen

A paradigm model of modern atom optics is studied, strongly interacting ultracold bosons in an optical lattice. This many-body system can be artificially opened in a controlled manner by modern experimental techniques. We present results…

Pattern Formation and Solitons · Physics 2013-10-23 S. Wimberger , C. A. Parra-Murillo , G. Kordas

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 study a gas of repulsively interacting bosons in an optical lattice and explore the physics beyond the lowest band Hubbard model. Utilizing a generalized Gutzwiller ansatz, we find how the lowest band physics is modified by the inclusion…

Other Condensed Matter · Physics 2013-05-29 J. Larson , A. Collin , J. -P. Martikainen

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

Quantum Gases · Physics 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model,…

Quantum Gases · Physics 2016-04-06 Andris Doçaj , Michael L. Wall , Rick Mukherjee , Kaden R. A. Hazzard

This article provides a synopsis of our recent experimental work exploring Bose-Einstein condensation in metastable higher Bloch bands of optical lattices. Bipartite lattice geometries have allowed us to implement appropriate band…

Quantum Gases · Physics 2016-02-04 T. Kock , C. Hippler , A. Ewerbeck , A. Hemmerich

The zero-temperature phase diagram of a Bose-Einstein condensate confined in realistic one-dimensional $\ell$-periodic optical superlattices is investigated. The system of interacting bosons is modeled in terms of a Bose-Hubbard Hamiltonian…

Statistical Mechanics · Physics 2007-05-23 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

We develop a theory of weakly interacting fermionic atoms in shaken optical lattices based on the orbital mixing in the presence of time-periodic modulations. Specifically, we focus on fermionic atoms in circularly shaken square lattice…

Quantum Gases · Physics 2017-06-27 Ahmet Keles , Erhai Zhao , W. Vincent Liu

We study how stable excited many-body states of the Bose-Hubbard model, including both the gas-like state for strongly attractive bosons and bound cluster state for repulsive bosons, can be produced with cold bosonic atoms in an…

Quantum Gases · Physics 2010-07-01 Li Wang , Yajiang Hao , Shu Chen

We propose that a tunable generalized three-dimensional Hofstadter Hamiltonian can be realized by engineering the Raman-assisted hopping of ultracold atoms in a cubic optical lattice. The Hamiltonian describes a periodic lattice system…

Quantum Gases · Physics 2017-04-19 Dan-Wei Zhang , Rui-Bin Liu , Shi-Liang Zhu
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