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We study a model of hard-core bosons on the kagome lattice with short-range hopping ($t$) and repulsive interactions ($V$). This model directly maps on to an easy-axis $S=1/2$ XXZ model on the kagome lattice and is also related, at large…

Strongly Correlated Electrons · Physics 2008-03-08 Sergei V. Isakov , Arun Paramekanti , Yong Baek Kim

We explore the properties of bosonic atoms loaded into the d bands of an isotropic square optical lattice. Following the recent experimental success reported in [Y. Zhai et al., Phys. Rev. A 87, 063638 (2013)], in which populating d bands…

Quantum Gases · Physics 2015-05-20 Fernanda Pinheiro , Jani-Petri Martikainen , Jonas Larson

We explore the consequences of disorder on phase coherence in the Mott insulator phases in an optical lattice. Few bosons with contact interaction in small optical lattice can feature varieties of insulating phases: weakly interacting Mott…

Quantum Gases · Physics 2024-11-19 Barnali Chakrabarti , Arnaldo Gammal , Luca Salasnich

We report on a phenomenological study of superfluid to Mott insulator transitions of bosons on the triangular lattice, focusing primarily on the interplay between Mott localization and geometrical charge frustration at 1/2-filling. A…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Burkov , Leon Balents

One dimensional free-fermions and hard-core bosons are often considered to be equivalent. Indeed, when restricted to nearest-neighbor hopping on a chain the particles cannot exchange themselves, and therefore hardly experience their own…

Strongly Correlated Electrons · Physics 2011-08-11 François Crépin , Nicolas Laflorencie , Guillaume Roux , Pascal Simon

Systems of two coupled bosonic species are studied using Mean Field Theory and Quantum Monte Carlo. The phase diagram is characterized both based on the mobility of the particles (Mott insulating or superfluid) and whether or not the system…

Statistical Mechanics · Physics 2010-12-08 L. de Forges de Parny , M. Traynard , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

Quantum Gases · Physics 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

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 study superfluid and Mott insulator phases of cold spin-1 Bose atoms with antiferromagnetic interactions in an optical lattice, including a usual polar condensate phase, a condensate of singlet pairs, a crystal spin nematic phase, and a…

Statistical Mechanics · Physics 2009-11-07 Eugene Demler , Fei Zhou

We observe a localized phase of ultracold bosonic quantum gases in a 3-dimensional optical lattice induced by a small contribution of fermionic atoms acting as impurities in a Fermi-Bose quantum gas mixture. In particular we study the…

Statistical Mechanics · Physics 2007-05-23 S. Ospelkaus , C. Ospelkaus , O. Wille , M. Succo , P. Ernst , K. Sengstock , K. Bongs

Ultra-cold bosons in zig-zag optical lattices present a rich physics due to the interplay between frustration, induced by lattice geometry, two-body interaction and three-body constraint. Unconstrained bosons may develop chiral…

Quantum Gases · Physics 2016-09-09 S. Greschner , L. Santos , T. Vekua

We study the effects of interaction between bosons and fermions in a Bose-Fermi mixtures loaded in an optical lattice. We concentrate on the destruction of a bosonic Mott phase driven by repulsive interaction between bosons and fermions.…

Statistical Mechanics · Physics 2009-11-13 F. Hebert , F. Haudin , L. Pollet , G. G. Batrouni

We analyze various quantum phases of ultracold bosonic atoms in a periodic one dimensional optical superlattice. Our studies have been performed using the finite size density matrix renormalization group (FS-DMRG) method in the framework of…

Quantum Gases · Physics 2015-05-27 Arya Dhar , Tapan Mishra , Ramesh V. Pai , B. P. Das

Itinerant electrons in a two-dimensional Kagome lattice form a Dirac semi-metal, similar to graphene. When lattice and spin symmetries are broken by various periodic perturbations this semi-metal is shown to spawn interesting non-magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 H. -M. Guo , M. Franz

We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of strong dipole-dipole interactions. We find some interesting…

Quantum Gases · Physics 2013-05-28 Zhihao Xu , Linhu Li , Shu Chen

Quantum particles on a lattice with competing long-range interactions are ubiquitous in physics. Transition metal oxides, layered molecular crystals and trapped ion arrays are a few examples out of many. In the strongly interacting regime,…

Strongly Correlated Electrons · Physics 2020-12-02 Yang Xu , Song Liu , Daniel A Rhodes , Kenji Watanabe , Takashi Taniguchi , James Hone , Veit Elser , Kin Fai Mak , Jie Shan

We study a mixture of strongly interacting bosons and spinless fermions with on-site repulsion in a three-dimensional optical lattice. For this purpose we develop and apply a generalized DMFT scheme, which is exact in infinite dimensions…

Other Condensed Matter · Physics 2008-03-10 I. Titvinidze , M. Snoek , W. Hofstetter

We show that multichannel interactions significantly alter the phase diagram of ultracold bosonic molecules in an optical lattice. Most prominently, an unusual fluid region intervenes between the conventional superfluid and the Mott…

Quantum Gases · Physics 2018-07-18 Kevin D. Ewart , Michael L. Wall , Kaden R. A. Hazzard

We study the boundary nature of trapped bosonic Mott insulators in optical square lattices, by performing quantum Monte Carlo simulation. We show that a finite superfluid density generally emerges in the incommensurate-filling (IC) boundary…

Strongly Correlated Electrons · Physics 2015-05-26 Takafumi Suzuki , Masahiro Sato