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The two-body contact is a fundamental quantity of a dilute Bose gas that relates the thermodynamics to the short-distance two-body correlations. For a Bose gas in an optical lattice, near the superfluid--Mott-insulator transition, we show…

Quantum Gases · Physics 2025-10-14 Moksh Bhateja , Nicolas Dupuis , Adam Rançon

Starting from one-dimensional Mott Insulators, we use a bichromatic optical lattice to add controlled disorder to an ideal optical crystal where bosonic atoms are pinned by repulsive interactions. Increasing disorder, we observe a…

Other Condensed Matter · Physics 2007-05-23 L. Fallani , J. E. Lye , V. Guarrera , C. Fort , M. Inguscio

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

Disorder can be applied to transform conducting to insulating states by localizing individual quantum particles. The interplay between disorder and interactions in many-particle systems leads to a richer tapestry of quantum phase…

Quantum Gases · Physics 2025-06-23 Phil Russ , Mi Yan , Nicholas Kowalski , Laura Wadleigh , Vito W. Scarola , Brian DeMarco

We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This…

Soft Condensed Matter · Physics 2009-11-07 Ana Maria Rey , Keith Burnett , Robert Roth , Mark Edwards , Carl J. Williams , Charles W. Clark

Depending on the Hamiltonian parameters, two-component bosons in an optical lattice can form at least three different superfluid phases in which both components participate in the superflow: a (strongly interacting) mixture of two miscible…

Soft Condensed Matter · Physics 2009-11-10 A. Kuklov , N. Prokof'ev , B. Svistunov

We consider two species of hard-core bosons with density dependent hopping in a one-dimensional optical lattice, for which we propose experimental realizations using time-periodic driving. The quantum phase diagram for half-integer filling…

Strongly Correlated Electrons · Physics 2020-03-11 Tao Wang , Shijie Hu , Sebastian Eggert , Michael Fleischhauer , Axel Pelster , Xue-Feng Zhang

It has long been believed that, at absolute zero, electrons can form only one quantum coherent state, a superconductor. Yet, several two dimensional superconducting systems were found to harbor the superinsulating state with infinite…

Superconductivity · Physics 2018-06-14 M. C. Diamantini , C. A. Trugenberger , I. Lukyanchuk , V. M. Vinokur

We show that in a commensurate bosonic ladder, a quantum phase transition occurs between a Mott insulator and a superfluid when interchain hopping increases. We analyse the properties of such a transition as well as the physical properties…

Strongly Correlated Electrons · Physics 2009-11-07 P. Donohue , T. Giamarchi

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 study the superfluid-insulator transition in Bose-Hubbard models in one-, two-, and three-dimensional cubic lattices by means of a recently proposed variational wave function. In one dimension, the variational results agree with the…

Strongly Correlated Electrons · Physics 2009-11-13 Manuela Capello , Federico Becca , Michele Fabrizio , Sandro Sorella

We study a model of interacting bosons that occupy the first excited p-band states of a two-dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard Hamiltonian, this more complex model allows for non-trivial…

Quantum Gases · Physics 2014-11-21 F. Hébert , Zi Cai , V. G. Rousseau , Congjun Wu , R. T. Scalettar , G. G. Batrouni

The Mott insulator-superfluid transition for ultracold bosonic atoms in an optical lattice has been extensively studied in the framework of the Bose-Hubbard model with two-body on-site interactions. In this paper, we analyze the additional…

Quantum Gases · Physics 2012-05-29 Manpreet Singh , Arya Dhar , Tapan Mishra , R. V. Pai , B. P. Das

We study the superfluid to Mott insulator transition of a mixture of heavy bosons and light fermions loaded in an optical lattice. We focus on the effect of the light fermions on the dynamics of the heavy bosons. It is shown that, when the…

Quantum Gases · Physics 2013-12-20 E. Malatsetxebarria , Zi Cai , U. Schollwoeck , M. A. Cazalilla

We study the topological properties of Bose-Mott insulators in one-dimensional non-Hermitian superlattices, which may serve as effective Hamiltonians for cold atomic optical systems with either two-body loss or one-body loss. We find that…

Strongly Correlated Electrons · Physics 2020-07-29 Zhihao Xu , Shu Chen

An array of ultracold atoms in an optical lattice (Mott insulator) excited to a state where single electron wave-functions spatially overlap would represent a new and ideal platform to simulate exotic electronic many-body phenomena in the…

The superfluid--Mott-insulator phase transition of ultracold spin-1 bosons with ferromagnetic and antiferromagnetic interactions in an optical lattice is theoretically investigated. Two counterpropagating linearly polarized laser beams with…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , R. Graham

We study quenches across the Bose-Hubbard Mott-insulator-to-superfluid quantum phase transition using an ultra-cold atomic gas trapped in an optical lattice. Quenching from the Mott insulator to superfluid phase is accomplished by…

Quantum Gases · Physics 2013-05-29 D. Chen , M. White , C. Borries , B. DeMarco

The ground states of bosons have been classified into superfluid, Mott insulator, and bose glass. Recent experiments in two-dimensional superconductors strongly suggest the existence of the fourth quantum state of Cooper pairs, i.e., bose…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 Kou Misaki , Naoto Nagaosa

A condensate in an optical lattice, prepared in the ground state of the superfluid regime, is stimulated first by suddenly increasing the optical lattice amplitude and then, after a waiting time, by abruptly decreasing this amplitude to its…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Roberto Franzosi