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Ultracold bosons in optical lattices are one of the few systems where bosonic matter is known to exhibit strong correlations. Here we push the frontier of our understanding of interacting bosons in optical lattices by adding synthetic…

Quantum Gases · Physics 2018-01-03 Daisuke Yamamoto , I. B. Spielman , C. A. R. Sá de Melo

We consider an ultra-small system of polarized bosons on an optical lattice with a ring topology interacting via long range dipole-dipole interactions. Dipoles polarized perpendicular to the plane of the ring reveal sharp transitions…

Quantum Gases · Physics 2013-05-29 Michal Maik , Pierfrancesco Buonsante , Alessandro Vezzani , Jakub Zakrzewski

We examine the two-dimensional spin-orbit-coupled bosons in the presence of an anisotropic dipolar interaction in square lattices. The spin-orbit coupling leads to finite-momentum superfluid and supersolid states, while the…

Quantum Gases · Physics 2026-04-29 Nitin Kaloya , Kuldeep Suthar

We show that atomic dipolar effects are detectable in the system that recently demonstrated two-atom coherent spin dynamics within individual lattice sites of a Mott state. Based on a two-state approximation for the two-atom internal states…

Other Condensed Matter · Physics 2009-11-11 B. Sun , W. X. Zhang , S. Yi , M. S. Chapman , L. You

We investigate magnetic properties in the superfluid and Mott-insulating states of two-component bosons with spin-orbit (SO) coupling in 2D square optical lattices. The spin-independent hopping integral $t$ and SO coupled one $\lambda $are…

Quantum Gases · Physics 2013-05-13 Zi Cai , Xiangfa Zhou , Congjun Wu

We show that the recent experimental realization of spin-orbit coupling in ultracold atomic gases can be used to study different types of spin spiral order and resulting multiferroic effects. Spin-orbit coupling in optical lattices can give…

Quantum Gases · Physics 2015-06-01 Ming Gong , Yinyin Qian , Mi Yan , V. W. Scarola , Chuanwei Zhang

Topological boundary modes, a hallmark of quantum topological phases, remarkably occur in classical mechanical systems through an interesting correspondence with the quantum case. Here, we explore the Maxwell lattice frustrated Mott…

Strongly Correlated Electrons · Physics 2026-02-25 Hong-Hao Song , Pengwei Zhao , Gang v. Chen

We show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

Ultracold dipolar hard-core bosons in optical ladders provide exciting possibilities for the quantum simulation of anisotropic XXZ spin ladders. We show that introducing a tilt along the rungs results in a rich phase diagram at unit…

We study the Mott phase of three-component bosons, with one particle per site, in an optical lattice by mapping it onto an SU(3) spin model. In the simplest case of full SU(3) symmetry, one obtains a ferromagnetic Heisenberg model.…

Quantum Gases · Physics 2014-11-19 Tobias Graß , Ravindra W. Chhajlany , Christine A. Muschik , Maciej Lewenstein

We explore the Mott insulating phases of dual-species bosonic spinor lattice gases, emphasizing the intriguing interplay between synthetic flux and inter-species spin exchange interaction. One of the species is subjected to Raman assisted…

Quantum Gases · Physics 2025-09-30 Rui-Shan Li , Zong-Zhen Pan , Shi-Jie Yang , Yi Zheng

We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin…

The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological…

Strongly Correlated Electrons · Physics 2025-08-15 Pengwei Zhao , Gang v. Chen

By effectively controlling the dipole-dipole interaction, we investigate the characteristics of the ground state of bright solitons in a spin-orbit coupled dipolar Bose-Einstein condensate. The dipolar atoms are trapped within a…

Recent experimental progress in magnetic atoms and polar molecules has created the prospect of simulating dipolar Hubbard models with off-site interactions. When applied to real-space cylindrical optical lattices, these anisotropic…

Quantum Gases · Physics 2022-05-05 Michael Hughes , Dieter Jaksch

We design an interaction-driven topological insulator for fermionic cold atoms in an optical lattice, that is, we pose the question of whether we can realize in a continuous space a spontaneous symmetry breaking induced by the inter-atom…

Quantum Gases · Physics 2015-07-24 Sota Kitamura , Naoto Tsuji , Hideo Aoki

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

The superfluid--Mott-insulator phase transition of ultracold spin-1 bosons with ferromagnetic and antiferromagnetic interactions in an optical lattice is theoretically investigated. Two counterpropagating linearly polarized laser beams with…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , R. Graham

We consider dipolar bosons in two tubes of one-dimensional lattices, where the dipoles are aligned to be maximally repulsive and the particle filling fraction is the same in each tube. In the classical limit of zero inter-site hopping, the…

Quantum Gases · Physics 2012-09-12 Marianne Bauer , Meera M. Parish

With the recent production of polar molecules in the quantum regime, long-range dipolar interactions are expected to facilitate the understanding of strongly interacting many-body quantum systems and to realize lattice spin models for…

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