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The Hubbard model is a paradigmatic model of strongly correlated quantum matter, thus making it desirable to investigate with quantum simulators such as ultracold atomic gases. Here, we consider the problem of two atoms interacting in a…

Quantum Gases · Physics 2025-12-03 Haydn S. Adlong , Jesper Levinsen , Meera M. Parish

The transition from a superfluid to a Mott insulator (MI) phase has been observed in a Bose-Einstein condensate (BEC) of ytterbium (Yb) atoms in an optical lattice. An all-optically produced BEC of 174Yb atoms was loaded into…

Other Condensed Matter · Physics 2009-04-22 Takeshi Fukuhara , Seiji Sugawa , Masahito Sugimoto , Shintaro Taie , Yoshiro Takahashi

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

We study the particle-hole symmetry in the Hubbard model using ultracold fermionic atoms in an optical lattice. We demonstrate the mapping between charge and spin degrees of freedom and, in particular, show the occurrence of a state with…

Quantum Gases · Physics 2020-01-15 M. Gall , C. F. Chan , N. Wurz , M. Köhl

We study the effect of parametric excitations on systems of confined ultracold Bose atoms in periodically modulated optical lattices. In the regime where Mott insulating and Superfluid domains coexist, we show that the dependence of the…

Other Condensed Matter · Physics 2010-07-15 Lilach Goren , Eros Mariani , Ady Stern

We report the observation of many-body interaction effects for a homonuclear bosonic mixture in a three-dimensional optical lattice with variable state dependence along one axis. Near the superfluid-to-Mott insulator transition for one…

Quantum Gases · Physics 2010-07-28 Bryce Gadway , Daniel Pertot , René Reimann , Dominik Schneble

The Mott insulator is characterized by having small deviations around the (integer) average particle density n, with pairs with n-1 and n+1 particles forming bound states. In one dimension, the effect is captured by a non-zero value of a…

Strongly Correlated Electrons · Physics 2017-05-03 Serena Fazzini , Federico Becca , Arianna Montorsi

Understanding the effect of interactions in the phase evolution of expanding atomic Bose Einstein condensates is fundamental to describe the basic phenomenon of matter wave interference. Many theoretical and experimental works tackled this…

Quantum Gases · Physics 2024-06-11 A. Burchianti , C. D'Errico , L. Marconi , F. Minardi , C. Fort , M. Modugno

We evaluate the particle current flowing in steady state through a Bose-Einstein condensate subject to a constant force in a quasi-onedimensional lattice and to attractive interactions from fermionic atoms that are localized in various…

Statistical Mechanics · Physics 2009-11-10 P. Vignolo , Z. Akdeniz , M. P. Tosi

The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^{40}$K atoms in a 3D…

Strongly Correlated Electrons · Physics 2010-04-06 U. Schneider , L. Hackermuller , S. Will , Th. Best , I. Bloch , T. A. Costi , R. W. Helmes , D. Rasch , A. Rosch

The obstructed atomic insulators are insulators with both atomic limits and boundary states. In this work, we study the obstructed atomic insulators under correlation. We use the symmetry indicators by constructing many-body wavefunctions…

Strongly Correlated Electrons · Physics 2023-12-11 Kun Jiang , Hongming Weng , Jiangping Hu

Adsorbate engineering offers a seemingly simple approach to tailor spin-orbit interactions in atomically thin materials and thus to unlock the much sought-after topological insulating phases in two dimensions. However, the observation of an…

Gauge potentials with different configurations have been recently realized in the optical lattice experiments. It is remarkable that one of the simplest gauge can generate particle energy spectrum with the self-similar structure known as a…

Quantum Gases · Physics 2018-05-01 A. S. Sajna , T. P. Polak

We theoretically study the optical properties of a gas of ultracold, coherently dressed three-level atoms in a Mott insulator phase of an optical lattice. The vacuum state, the band dispersion and the absorption spectrum of the polariton…

Other Condensed Matter · Physics 2008-07-08 Iacopo Carusotto , Mauro Antezza , Francesco Bariani , Simone De Liberato , Cristiano Ciuti

We calculate the phase diagram of the Bose-Hubbard model on a half-filled ladder lattice including the effect of finite on-site interactions. This shows that the rung-Mott insulator (RMI) phase persists to finite interaction strength, and…

Quantum Gases · Physics 2026-02-24 Lorenzo Carfora , Callum W. Duncan , Stefan Kuhr , Peter Kirton

Atom density profile arising in the atomic beam after passing through the one or two microfabricated structures (MS) is considered. Two limiting cases the beam with large and small angular divergence are considered. An equivalence of the…

Atomic Physics · Physics 2007-05-23 B. Dubetsky , P. R. Berman

The article discusses how the pattern of elastic scattering of an electron on a pair of identical atomic spheres will look if we abandon the standard in the molecular physics assumption that, outside the molecular sphere, in the external…

Atomic Physics · Physics 2022-09-20 A. S. Baltenkov , I. Woiciechowski

The complexity of quantum many-body systems originates from the interplay of strong interactions, quantum statistics, and the large number of quantum-mechanical degrees of freedom. Probing these systems on a microscopic level with…

We present a novel and efficient real space, semiclassical model of electric polarization with general applicability to any system in which screening plays an important role. This model includes the effects of both atomic and bond…

Superconductivity · Physics 2025-06-24 Nassim Derriche , George Sawatzky

We show that the dynamical melting of a Mott insulator in a three-dimensional lattice leads to condensation at nonzero momenta, a phenomenon that can be used to generate strongly interacting atom lasers in optical lattices. For infinite…

Quantum Gases · Physics 2010-10-28 Itay Hen , Marcos Rigol