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We describe the two-dimensional Mott transition in a Hubbard-like model with nearest neighbors interactions based on a recent solution to the Zamolodchikov tetrahedron equation, which extends the notion of integrability to two-dimensional…

Strongly Correlated Electrons · Physics 2008-12-10 Federico L. Bottesi , Guillermo R. Zemba

We report on the study of itinerant magnetism of lattice-trapped magnetic atoms, driven by magnetic dipole-dipole interactions, in the low-entropy and close-to-unit filling regime. We have used advanced dynamical decoupling techniques to…

Quantum Gases · Physics 2025-01-22 Thomas Lauprêtre , Ana Maria Rey , Laurent Vernac , Bruno Laburthe-Tolra

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

We study the ground state quantum phase diagram for a two species Bose mixture in a one-dimensional optical lattice using the finite size density matrix renormalization group(FSDMRG) method. We discuss our results for different combinations…

Statistical Mechanics · Physics 2009-11-11 T. Mishra , Ramesh V. Pai , B. P. Das

We report on the study of the momentum distribution of a one-dimensional Bose gas in an optical lattice. From the momentum distribution we extract the condensed fraction of the gas and thereby measure the depletion of the condensate and…

Superconductivity · Physics 2009-11-10 Michael Köhl , Thilo Stöferle , Henning Moritz , Christian Schori , Tilman Esslinger

A spin-1 atomic gas in an optical lattice, in the unit-filling Mott Insulator (MI) phase and in the presence of disordered spin-dependent interaction, is considered. In this regime, at zero temperature, the system is well described by a…

We study the ground-state properties of mixtures of strongly interacting bosonic atoms in an optical lattice. Applying a mean-field approximation to the Hubbard model for Bose-Bose mixtures, we calculate the densities and superfluid order…

Other Condensed Matter · Physics 2010-10-22 Takeshi Ozaki , Tetsuro Nikuni

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the mobility of the particles (Mott insulating or superfluid…

Quantum Gases · Physics 2015-06-16 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We study the superfluid to Mott-insulator transition of bosons in an optical anizotropic lattice by employing the Bose-Hubbard model living on a two-dimensional lattice with anizotropy parameter $\kappa$. The compressible superfluid state…

Other Condensed Matter · Physics 2009-02-11 T. P. Polak , T. K. Kopec

We calculate density-density correlations of an expanding gas of strongly attractive ultra-cold spin-1/2 fermions in an optical lattice. The phase diagram of the tightly bound fermion pairs exhibits a Bose-Einstein condensed state and a…

Quantum Gases · Physics 2010-03-10 O. Fialko , K. Ziegler

A first order phase transition between a BCS phase and an insulating Mott phase for a gas of spatially separated electrons and holes with tunable Coulomb interaction and variable density is predicted. In the framework of a BCS-like…

Mesoscale and Nanoscale Physics · Physics 2015-04-09 Oleg L. Berman , Roman Ya. Kezerashvili , Klaus Ziegler

We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the…

Soft Condensed Matter · Physics 2013-05-29 Shunji Tsuchiya , Susumu Kurihara , Takashi Kimura

We study radiation-matter interaction in a system of ultracold atoms trapped in an optical lattice in a Mott insulator phase. We develop a fully general quantum model, and we perform calculations for a one-dimensional geometry at normal…

Optics · Physics 2009-11-13 Francesco Bariani , Iacopo Carusotto

We consider the Bose-Hubbard model in a two dimensional rotating optical lattice and investigate the consequences of the effective magnetic field created by rotation. Using a Gutzwiller type variational wavefunction, we find an analytical…

Mesoscale and Nanoscale Physics · Physics 2008-04-15 R. O. Umucalilar , M. O. Oktel

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

We analyze the interference pattern produced by ultracold atoms released from an optical lattice. Such interference patterns are commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite…

We discuss the superfluid to Mott-insulator transition of cold atoms in optical lattices recently observed by Greiner et.al. (Nature 415, 39 (2002)). The fundamental properties of both phases and their experimental signatures are discussed…

Strongly Correlated Electrons · Physics 2007-05-23 W. Zwerger

We analyze the spin dynamics of an out-of-equilibrium large spin dipolar atomic Bose gas in an optical lattice. We observe a smooth crossover from a complex oscillatory behavior to an exponential behavior throughout the Mott to superfluid…

The two-body contact is a fundamental quantity of a dilute Bose gas that relates the thermodynamics to the short-distance two-body correlations. For a Bose gas in an optical lattice, near the superfluid--Mott-insulator transition, we show…

Quantum Gases · Physics 2025-10-14 Moksh Bhateja , Nicolas Dupuis , Adam Rançon

We investigate the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory (LGT) model with hard-core bosons at half-filling, extending previous studies by including second nearest-neighbor (2NN) interactions.…

Strongly Correlated Electrons · Physics 2025-12-12 Yeimer Zambrano , Aleksey Alekseev , Konrad J. Kapcia , Krzysztof Cichy , Agnieszka Cichy