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High order ring-exchange interactions are crucial for the study of quantum fluctuations on highly frustrated systems. We present the first exact quantum Monte Carlo study of a model of hard-core bosons with sixth order ring-exchange…

Quantum Gases · Physics 2013-03-01 Valéry Rousseau , Ka-Ming Tam , Mark Jarrell , Juana Moreno

We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo…

Quantum Gases · Physics 2011-05-23 Xue-Feng Zhang , Yu-Chuan Wen , Yue Yu

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

We have systematically studied the hard-core Bose-Hubbard model with correlated hopping on a triangular lattice using density-matrix renormalization group method. A rich ground state phase diagram is determined. In this phase diagram there…

Strongly Correlated Electrons · Physics 2012-07-25 Hong-Chen Jiang , Liang Fu , Cenke Xu

We examine the superfluid phase of a hard-core boson model with nearest-neighbor exchange J and four-particle ring-exchange K at half-filling on the square lattice. At zero temperature we find that the superfluid in the pure-J model is…

Strongly Correlated Electrons · Physics 2010-01-18 Robert Schaffer , Anton A. Burkov , Roger G. Melko

We study ring-exchange models for bosons or XY-spins on the triangular lattice. A four-spin exchange leads to a manifold of ground states with gapless excitations and critical power-law correlations. With a nearest-neighbour exchange,…

Superconductivity · Physics 2009-11-07 Leon Balents , Arun Paramekanti

Recent experiments on triangular lattice organic Mott insulators have found evidence for a 2D spin liquid in proximity to the metal-insulator transition. A Gutzwiller wavefunction study of the triangular lattice Heisenberg model with…

Strongly Correlated Electrons · Physics 2013-05-29 D. N. Sheng , Olexei I. Motrunich , Matthew P. A. Fisher

Advances in pure optical trapping techniques now allow the creation of degenerate Bose gases with internal degrees of freedom. Systems such as ${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an ideal platform for…

High-finesse optical cavity allows the establishment of long-range interactions between bosons in an optical lattice when most cold atoms experiments are restricted to short-range interactions. Supersolid phases have recently been…

Quantum Gases · Physics 2017-04-05 T. Flottat , L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We investigate the zero temperature quantum phases of a Bose-Bose mixture on a triangular lattice using Bosonic Dynamical Mean Field Theory (BDMFT). We consider the case of total filling one where geometric frustration arises for asymmetric…

Quantum Gases · Physics 2013-05-30 Liang He , Yongqiang Li , Ehud Altman , Walter Hofstetter

We study a system with competing short- and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a…

Quantum Gases · Physics 2016-10-04 N. Dogra , F. Brennecke , S. D. Huber , T. Donner

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 reveal a generic mechanism of generating sign-alternating inter-site interactions mediated by strongly correlated lattice bosons. The ground state phase diagram of the two-component hard-core Bose-Hubbard model on a square lattice at…

Other Condensed Matter · Physics 2015-05-13 Ş. G. Söyler , B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

We study the ground state phase diagram of a one-dimensional hard-core bosonic model with nearest-neighbor interactions (XXZ model) where every site is coupled Ohmically to an independent but identical reservoir, hereby generalizing…

Strongly Correlated Electrons · Physics 2015-01-05 Zi Cai , Ulrich Schollwock , Lode Pollet

We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $\Delta/t$ and the onsite interaction $U/t$ gives rise to…

Quantum Gases · Physics 2025-06-10 Wei-Wei Wang , Jin Yang , Jian-Ping Lv , Chao Zhang

We consider interacting bosonic particles on a two-leg triangular ladder in the presence of an artificial gauge field. We employ density matrix renormalization group numerical simulations and analytical bosonization calculations to study…

Quantum Gases · Physics 2023-02-21 Catalin-Mihai Halati , Thierry Giamarchi

We examine the zero and finite temperature phase diagrams of soft-core bosons of the extended Bose-Hubbard model on a square optical lattice. To study various quantum phases and their transitions we employ single-site and cluster Gutzwiller…

Quantum Gases · Physics 2020-07-23 K. Suthar , Hrushikesh Sable , Rukmani Bai , Soumik Bandyopadhyay , Sukla Pal , D. Angom

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

The superfluid-insulator transition in systems of lattice bosons is usually analyzed in the framework of the Bose-Hubbard model, and has been extensively studied by theory and simulations. Less attention has been paid to the remnants of the…

Quantum Gases · Physics 2026-05-27 Gabriele Costa , Matteo Ciardi , Fabio Cinti , Santi Prestipino

We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice. The ground state…

Quantum Gases · Physics 2024-10-16 J. A. Koziol , G. Morigi , K. P. Schmidt
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