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The recent advances in creating nearly degenerate quantum dipolar gases in optical lattices are opening the doors for the exploration of equilibrium physics of quantum systems with anisotropic and long-range dipolar interactions. In this…

Quantum Gases · Physics 2016-01-20 C. Zhang , A. Safavi-Naini , Ana Maria Rey , B. Capogrosso-Sansone

We consider two-dimensional bosonic dipoles oriented perpendicularly to the plane. On top of the usual two-body contact and long-range dipolar interactions we add a contact three-body repulsion as expected, in particular, for dipoles in the…

Quantum Gases · Physics 2015-08-18 Zhen-Kai Lu , Yun Li , D. S. Petrov , G. V. Shlyapnikov

We systematically investigate and illustrate the complete ground-state phase diagram for a one-dimensional, three-species mixture of a few repulsively interacting bosons trapped harmonically. To numerically obtain the solutions to the…

Quantum Gases · Physics 2026-02-24 Tran Duong Anh-Tai , Miguel A. García-March , Thomas Busch , Thomás Fogarty

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of strong interactions. The system is described by a non-standard Bose-Hubbard model with both occupation-dependent tunneling and on-site…

Quantum Gases · Physics 2011-04-13 Omjyoti Dutta , Andre Eckardt , Philipp Hauke , Boris Malomed , Maciej Lewenstein

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations and focus on finite temperature effects. We show in two different cases, ferro- and antiferromagnetic spin-spin…

Quantum Gases · Physics 2012-05-31 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

Ever since the first observation of Bose-Einstein condensation in the nineties, ultracold quantum gases have been the subject of intense research, providing a unique tool to understand the behavior of matter governed by the laws of quantum…

Quantum Gases · Physics 2021-03-18 Santi Prestipino

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

We investigate the electronic phases of an effective Hubbard model on the body-centered-cubic lattice, motivated by alkali-doped fulleride molecular solids. The model incorporates renormalized on-site interactions and an effective inverted…

Strongly Correlated Electrons · Physics 2026-05-08 Theja N. De Silva

We study the phase diagram of a system of soft-core dipolar bosons confined to a two-dimensional optical lattice layer. We assume that dipoles are aligned perpendicular to the layer such that the dipolar interactions are purely repulsive…

Statistical Mechanics · Physics 2014-08-18 D. Grimmer , A. Safavi-Naini , B. Capogrosso-Sansone , Ş. G. Söyler

Motivated by the realization of Bose-Einstein condensates (BEC) in non-cubic lattices, in this work we study the phases and collective excitation of bosons with nearest neighbor interaction in a triangular lattice at finite temperature,…

Quantum Gases · Physics 2020-11-26 M. Malakar , S. Ray , S. Sinha , D. Angom

We address the stability of superfluid currents in a system of interacting lattice bosons. We consider various Gutzwiller trial states for the quantum phase model which provides a good approximation for the Bose-Hubbard model in the limit…

Quantum Gases · Physics 2013-06-21 Pierfrancesco Buonsante , Luca Orefice , Augusto Smerzi

We introduce a Bose-Hubbard Hamiltonian with random disordered interactions as a model to study the interplay of superfluidity and glassiness in a system of three-dimensional hard-core bosons at half-filling. Solving the model using…

Disordered Systems and Neural Networks · Physics 2010-06-07 Ka-Ming Tam , Scott Geraedts , Stephen Inglis , Michel J. P. Gingras , Roger G. Melko

We study a model of hard-core bosons with frustrated nearest-neighbor hopping ($t$) and repulsion ($V$) on the triangular lattice. We argue for a supersolid ground state in the large repulsion ($V\gg|t|$) limit where a dimer representation…

Statistical Mechanics · Physics 2009-01-07 Fa Wang , Frank Pollmann , Ashvin Vishwanath

We establish the nature of the supersolid phase observed for hardcore bosons on the triangular lattice near half-integer filling factor, and study the phase diagram of the system at finite temperature. We find that the solid order is always…

Statistical Mechanics · Physics 2009-11-11 Massimo Boninsegni , Nikolay Prokof'ev

We study the checkerboard supersolid of the hard-core Bose-Hubbard model with the dipole-dipole interaction. This supersolid is different from all other supersolids found in lattice models in the sense that superflow paths through which…

Quantum Gases · Physics 2012-09-14 Takahiro Ohgoe , Takahumi Suzuki , Naoki Kawashima

We establish the phase diagram of the disordered three-dimensional Bose-Hubbard model at unity filling, which has been controversial for many years. The theorem of inclusions, proven in Ref. [1], states that the Bose glass phase always…

Disordered Systems and Neural Networks · Physics 2010-09-10 V. Gurarie , L. Pollet , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We study two-component bosons on the Harper-Hofstadter model with two legs. The synthetic magnetic fields for the two types of bosons point to either the same direction or opposite directions. The bosons have hardcore intra-species…

Quantum Gases · Physics 2020-10-23 Jian-Dong Chen , Hong-Hao Tu , Ying-Hai Wu , Zhi-Fang Xu

We investigate the properties of strongly interacting bosons in two dimensions at zero temperature using mean-field theory, a variational Ansatz for the ground state wave function, and Monte Carlo methods. With on-site and short-range…

By using a state of art tensor network state method, we study the ground-state phase diagram of an extended Bose-Hubbard model on the square lattice with frustrated next-nearest neighboring tunneling. In the hardcore limit, tunneling…

Strongly Correlated Electrons · Physics 2017-07-26 Shao-Jun Dong , Wenyuan Liu , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou , Yong-Jian Han , Lixin He

We establish the phase diagram of the strongly-interacting Bose-Hubbard model defined on a two-leg ladder geometry in the presence of a homogeneous flux. Our work is motivated by a recent experiment [Atala et al., Nature Phys. 10, 588…

Quantum Gases · Physics 2015-04-16 M. Piraud , F. Heidrich-Meisner , I. P. McCulloch , S. Greschner , T. Vekua , U. Schollwoeck