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We derive effective Hamiltonians for lattice bosons with strong geometrical frustration of the kinetic energy by projecting the interactions on the flat lowest Bloch band. Specifically, we consider the Bose Hubbard model on the one…

Strongly Correlated Electrons · Physics 2010-11-04 Sebastian D. Huber , Ehud Altman

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

The competition between tunneling and interactions in bosonic lattice models generates a whole variety of different quantum phases. While, in the presence of a single species interacting via on-site interaction, the phase diagram presents…

Other Condensed Matter · Physics 2015-05-13 C. Trefzger , C. Menotti , M. Lewenstein

We analyze the macroscopic dynamics of a Bose gas axially confined in an optical lattice with a superimposed harmonic trap, taking into account weak tunneling effect. Our results show that upon transition to the quasi-two-dimensional (2D)…

Quantum Gases · Physics 2015-05-27 Ying Hu , Zhaoxin Liang

We study phase diagrams of one-dimensional bosons with contact interactions in the presence of a lattice. We use the worm algorithm in continuous space and focus on the incommensurate superfluid Mott-insulator transition. Our results are…

Quantum Gases · Physics 2016-09-07 Wei Xu , Maxim Olshanii , Marcos Rigol

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

We identify the quantum phases in a binary mixture of dipolar bosons in two-dimensional optical lattices. Our study is motivated by the recent experimental realization of binary dipolar condensate mixtures of Er-Dy [Phys. Rev. Lett. 121,…

Quantum Gases · Physics 2020-10-12 Rukmani Bai , Deepak Gaur , Hrushikesh Sable , Soumik Bandyopadhyay , K. Suthar , D. Angom

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

Motivated by a recent experiment with optical lattices that has realized a ladder geometry with an effective magnetic field (Atala et al., Nature Physics \textbf{10}, 588 (2014)), we study the dynamics of bosons on a tight-binding two-leg…

Quantum Gases · Physics 2015-08-26 Wladimir Tschischik , Roderich Moessner , Masudul Haque

The extended Bose-Hubbard model subjected to a disordered potential is predicted to display a rich phase diagram. In the case of uniform random disorder one finds two insulating quantum phases -- the Mott-insulator and the Haldane insulator…

Quantum Gases · Physics 2015-06-12 X. Deng , R. Citro , E. Orignac , A. Minguzzi , L. Santos

We study the ground state properties of repulsively interacting bosons on the honeycomb lattice using large-scale quantum Monte Carlo simulations. In the hard-core limit the half-filled system develops long ranged diagonal order for…

Other Condensed Matter · Physics 2009-11-13 Stefan Wessel

We analyze an interacting Bose-Fermi mixture in a 1D disordered potential using a combination of renormalization group and variational methods. We obtain the complete phase diagram in the incommensurate case as a function of bosonic and…

Quantum Gases · Physics 2010-09-28 François Crépin , Gergely Zaránd , Pascal Simon

Dressed Rydberg atoms in optical lattices are a promising platform for the quantum simulation of intriguing phenomena emerging in strongly interacting systems. Relevant to such a setup, we investigate the phase diagram of hard-core bosons…

We study the expansion dynamics of harmonically trapped bosons in a two-dimensional lattice within the extended Bose-Hubbard model. We evaluate the dynamics of the system following a sudden removal of the confining potential, starting with…

Quantum Gases · Physics 2014-09-04 Sevda Aktaş , Ülfet Atav

We study the Bose-condensed ground states of bosons in a two-dimensional optical lattice in the presence of frustration due to an effective vector potential, for example, due to lattice rotation. We use a mapping to a large-S frustrated…

Quantum Gases · Physics 2010-02-26 T. Duric , D. K. K. Lee

We consider a mixture of hard core bosonic polar molecules, interacting via repulsive dipole-dipole interaction, and one atomic bosonic species. The mixture is confined on a two-dimensional square lattice and, at low enough temperatures,…

Statistical Mechanics · Physics 2015-05-20 B. Capogrosso-Sansone

A spin-wave approach of the zero temperature superfluid-insulator transition for two-dimensional hard-core bosons in a random potential $\mu=\pm$ W is developed. While at the classical level there is no intervening phase between the…

Strongly Correlated Electrons · Physics 2013-10-21 Juan Pablo Álvarez Zúñiga , Nicolas Laflorencie

Motivated by recent experiments with ultracold magnetic atoms trapped in optical lattices where the orientation of atomic dipoles can be fully controlled by external fields, we study the ground state properties of dipolar bosons trapped in…

Quantum Gases · Physics 2021-12-01 Chao Zhang , Jin Zhang , Jin Yang , Barbara Capogrosso-Sansone

We propose a mechanism for liquid formation in strongly correlated lattice systems. The mechanism is based on an interplay between long-range attraction and superexchange processes. As an example, we study dipolar bosons in one-dimensional…

Characterizing and accessing quantum phases of itinerant bosons or fermions in two dimensions (2D) that exhibit singular structure along surfaces in momentum space but have no quasi-particle description remains as a central challenge in the…

Strongly Correlated Electrons · Physics 2008-12-17 Matthew P. A. Fisher , Olexei I. Motrunich , Donna N. Sheng