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Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered…

Quantum Gases · Physics 2013-08-21 A. Kartsev , D. Karlsson , A. Privitera , C. Verdozzi

Motivated by experiments on heteronuclear Feshbach resonances in Bose mixtures, we investigate s-wave pairing of two species of bosons in an optical lattice. The zero temperature phase diagram supports a rich array of superfluid and Mott…

Strongly Correlated Electrons · Physics 2013-05-29 M. J. Bhaseen , A. O. Silver , M. Hohenadler , B. D. Simons

Ultracold bosons in optical lattices are one of the few systems where bosonic matter is known to exhibit strong correlations. Here we push the frontier of our understanding of interacting bosons in optical lattices by adding synthetic…

Quantum Gases · Physics 2018-01-03 Daisuke Yamamoto , I. B. Spielman , C. A. R. Sá de Melo

We investigate the physics of dipolar bosons in a two dimensional optical lattice. It is known that due to the long-range character of dipole-dipole interaction, the ground state phase diagram of a gas of dipolar bosons in an optical…

Other Condensed Matter · Physics 2009-11-11 C. Menotti , C. Trefzger , M. Lewenstein

Model wave functions are essential for studying fractional quantum Hall phases, yet lattice model states have so far been limited to bosonic systems with on-site interactions. In this work, by combining analytical and numerical methods, we…

Strongly Correlated Electrons · Physics 2026-05-15 Guangyue Ji , Jie Wang

Quantum state tomography, a fundamental tool for quantum physics, usually requires a number of state copies that scale exponentially with the system size, owing to the intricate quantum correlations between subsystems. We show that, in…

Quantum Physics · Physics 2025-12-22 Xiaobin Zhao , Pengcheng Liao , Francesco Anna Mele , Ulysse Chabaud , Quntao Zhuang

We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, it is known from physics that superconductivity should be…

Analysis of PDEs · Mathematics 2019-03-27 Søren Fournais , Jean-Philippe Miqueu , Xing-Bin Pan

We study the ground-state phase diagram of spinless and spin-1 bosons in optical superlattices using a Bose-Hubbard Hamiltonian that includes spin-dependent interactions. We decouple the unit cells of the superlattice via a mean-field…

Quantum Gases · Physics 2012-11-20 Andreas Wagner , Andreas Nunnenkamp , Christoph Bruder

We study Mott phases and superfluid-insulator (SI) transitions of ultracold bosonic atoms in a two-dimensional square optical lattice at commensurate filling and in the presence of a synthetic periodic vector potential characterized by a…

Strongly Correlated Electrons · Physics 2013-05-29 K. Saha , K. Sengupta , K. Ray

Quantum materials whose properties lie beyond the celebrated Landau Fermi-liquid paradigm have been observed for decades across diverse material platforms. Finding microscopic lattice models for metallic states that exhibit such peculiar…

Strongly Correlated Electrons · Physics 2026-02-25 Fabian Eickhoff

Quantum oscillations offer a powerful probe for the geometry and topology of the Fermi surface in metals. Onsager's semiclassical quantization relation governs these periodic oscillations in 1/B, leading to a linear Landau fan diagram.…

Mesoscale and Nanoscale Physics · Physics 2024-03-07 Sunit Das , Suvankar Chakraverty , Amit Agarwal

The phase diagram of ultracold bosons in realistic optical superlattices is addressed via second-order {\it cell} strong coupling perturbative expansions for the Bose-Hubbard model describing the system. Taking advantage of the cell…

Statistical Mechanics · Physics 2007-05-23 Pierfrancesco Buonsante , Alessandro Vezzani

We study the expansion of bosonic Mott insulators in the presence of an optical lattice after switching off a confining potential. We use the Gutzwiller mean-field approximation and consider two different setups. In the first one, the…

Quantum Gases · Physics 2012-07-10 Mark Jreissaty , Juan Carrasquilla , F. Alexander Wolf , Marcos Rigol

We analyze the dynamics of ultracold atoms in optical lattices induced by a sudden shift of the underlying harmonic trapping potential. In order to study the effect of strong interactions, dimensionality and lattice topology on transport…

Other Condensed Matter · Physics 2011-11-15 Michiel Snoek , Walter Hofstetter

We study the ground-state phase diagram of the quantum $J_1-J_2$ model on the honeycomb lattice by means of an entangled-plaquette variational ansatz. Values of energy and relevant order parameters are computed in the range $0\le…

Strongly Correlated Electrons · Physics 2012-02-10 Fabio Mezzacapo , Massimo Boninsegni

We study ground-state quantum entanglement in the one-dimensional Bose-Hubbard model in the presence of a harmonic trap. We focus on two transitions that occur upon increasing the characteristic particle density: the formation of a…

Statistical Mechanics · Physics 2019-12-20 Yicheng Zhang , Lev Vidmar , Marcos Rigol

Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms. Recently, a promising new candidate has emerged…

Strongly Correlated Electrons · Physics 2026-01-27 Yiqi Yang , Yubo Yang , Miguel A. Morales , Shiwei Zhang

We present new results for the Kondo lattice model of strongly correlated electrons, in 1-, 2-, and 3-dimensions, obtained from high-order linked-cluster series expansions. Results are given for varies ground state properties at…

Strongly Correlated Electrons · Physics 2009-11-07 W. Zheng , J. Oitmaa

We investigate the quantum phases of ultracold atoms trapped in a vortex lattice using a mixture of two bosonic species (A and B), in the presence of an artificial gauge field. Heavy atoms of species B are confined in the array of vortices…

Quantum Gases · Physics 2017-06-07 R. H. Chaviguri , T. Comparin , V. S. Bagnato , M. A. Caracanhas

We study the three-dimensional U(1)+Higgs theory (Ginzburg-Landau model) as an effective theory for finite temperature phase transitions from the 1 K scale of superconductivity to the relativistic scales of scalar electrodynamics. The…

High Energy Physics - Lattice · Physics 2009-10-30 K. Kajantie , M. Karjalainen , M. Laine , J. Peisa
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