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The Hubbard model constitutes one of the most celebrated theoretical frameworks of condensed-matter physics. It describes strongly correlated phases of interacting quantum particles confined in lattice potentials. For bosons, the Hubbard…

Strongly Correlated Electrons · Physics 2022-10-12 C. Lagoin , U. Bhattacharya , T. Grass , R. Chhajlany , T. Salamon , K. Baldwin , L. Pfeiffer , M. Lewenstein , M. Holzmann , F. Dubin

The ground state phase diagram of the one-dimensional Bose-Fermi Hubbard model is studied in the canonical ensemble using a quantum Monte Carlo method. We focus on the case where both species have half filling in order to maximize the…

Statistical Mechanics · Physics 2007-05-23 Lode Pollet , Matthias Troyer , Kris Van Houcke , Stefan M. A. Rombouts

To explore superfluidity in flat-band systems, we consider a Bose-Hubbard model on a cross-linked ladder with $\pi$ flux, which has a flat band with a gap between the other band for noninteracting particles, where we study the effect of the…

Strongly Correlated Electrons · Physics 2013-12-10 Shintaro Takayoshi , Hosho Katsura , Noriaki Watanabe , Hideo Aoki

There has been a recent resurgence of experimental efforts to quantitatively determine the phase diagram of the Bose Hubbard model by carefully analyzing experiments with ultracold bosonic atoms on an optical lattice. In many realizations…

Strongly Correlated Electrons · Physics 2008-08-14 J. K. Freericks

We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit coupling and Zeeman spin splitting. While the study of this…

Strongly Correlated Electrons · Physics 2014-02-18 Aaron Farrell , T. Pereg-Barnea

We consider effects of artificial magnetic fields on the ground state of the two-dimensional Bose-Hubbard model. Using an asymmetric Bose-Hubbard model, we demonstrate that the frustrating hopping energy localizes bosons and enlarges…

Quantum Gases · Physics 2025-07-17 Mohammadamin Jaberi , Fatemeh Heydarinasab

We report our findings on quantum phase transitions in cold bosonic atoms in a one dimensional optical lattice using the finite size density matrix renormalization group method in the framework of the extended Bose-Hubbard model. We…

Quantum Gases · Physics 2015-05-13 Tapan Mishra , Ramesh V. Pai , S. Ramanan , Meetu Sethi Luthra , B. P. Das

We develop a quantum field theoretical framework to analytically study the three-body constrained Bose-Hubbard model beyond mean field and non-interacting spin wave approximations. It is based on an exact mapping of the constrained model to…

Quantum Gases · Physics 2010-08-24 S. Diehl , M. Baranov , A. J. Daley , P. Zoller

Enriching condensed-matter systems with quantum optical phenomena currently drives intense research efforts, particularly to introduce collective quantum correlations. Here we access this paradigm, by confining dipolar excitons in a…

Quantum Gases · Physics 2025-10-16 Camille Lagoin , Corentin Morin , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

We studied all possible ground states, including supersolid (SS) phases and phase separations of hard-core- and soft-core-extended Bose--Hubbard models with fixed boson densities by using the Gutzwiller variational wave function and the…

Quantum Gases · Physics 2015-05-27 Takashi Kimura

We study the ground-state phase diagram of a one-dimensional $\mathbb{Z}_2$ lattice gauge theory coupled to soft-core bosonic matter at unit filling, inspired by the Higgs sector of the standard model. Through a combination of analytical…

Quantum Gases · Physics 2025-03-07 Alexander Schuckert , Stefan Kühn , Kevin C. Smith , Eleanor Crane , Steven M. Girvin

For systems of interacting, ultracold spin-zero neutral bosonic atoms, harmonically trapped and subject to an optical lattice potential, we derive an Extended Bose Hubbard (EBH) model by developing a systematic expansion for the Hamiltonian…

Other Condensed Matter · Physics 2007-05-23 G. Mazzarella , S. M. Giampaolo , F. Illuminati

We theoretically study the stability of lattice supersolid states in the extended Bose-Hubbard model with bounded spatial disorder. We construct a disorder mean field theory and compare with quantum Monte Carlo calculations. The supersolid…

Disordered Systems and Neural Networks · Physics 2012-02-23 B. M. Kemburi , V. W. Scarola

We investigate a binary mixture of bosonic atoms loaded into a state-dependent honeycomb lattice. For this system, the emergence of a so-called twisted-superfluid ground state was experimentally observed in [Soltan-Panahi et al., Nat. Phys.…

The extended Bose-Hubbard model with correlated tunneling exhibits staggered superfluid and supersolid quantum phases. We study finite-temperature phase transitions of quantum phases of dipolar bosons in a two-dimensional optical lattice…

Quantum Gases · Physics 2022-12-21 Kuldeep Suthar , Kwai-Kong Ng

A one-dimensional model of interacting electrons with on-site $U$, nearest-neighbor $V$, and pair-hopping interaction $W$ is studied at half-filling using the continuum limit field theory approach. The ground state phase diagram is obtained…

Condensed Matter · Physics 2016-08-31 G. I. Japaridze , Sujit Sarkar

Recently, it has become apparent that, when the interactions between polar molecules in optical lattices becomes strong, the conventional description using the extended Hubbard model has to be modified by additional terms, in particular a…

Quantum Gases · Physics 2014-06-05 Michal Maik , Philipp Hauke , Omjyoti Dutta , Jakub Zakrzewski , Maciej Lewenstein

Motivated by a recent experiment that realizes nearest-neighbor dipolar couplings in an optical lattice [C. Lagoin, $\textit{et al.}$, Nature $\textbf{609}$, 485 (2022)], we study a one-dimensional version of the two-component extended…

Quantum Gases · Physics 2025-06-05 Saisai He , Yang Liu , Bin Xi , Hong-Gang Luo , Qiang Luo , Jize Zhao

We investigate systems of bosonic particles at zero temperature in triangular and hexagonal optical lattice potentials in the framework of the Bose-Hubbard model. Employing the process-chain approach, we obtain accurate values for the…

Quantum Gases · Physics 2010-08-13 Niklas Teichmann , Dennis Hinrichs , Martin Holthaus

We analyze the Bose-Hubbard model of hardcore bosons with nearest neighbor hopping and repulsive interactions on a star lattice using both quantum Monte Carlo simulation and dual vortex theory. We obtain the phase diagram of this model as a…

Strongly Correlated Electrons · Physics 2009-12-16 Sergei V. Isakov , K. Sengupta , Yong Baek Kim