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We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , N. Dupuis

Superconducting circuits are a competitive platform for quantum computation because they offer controllability, long coherence times and strong interactions - properties that are essential for the study of quantum materials comprising…

Quantum Gases · Physics 2019-08-06 Ruichao Ma , Brendan Saxberg , Clai Owens , Nelson Leung , Yao Lu , Jonathan Simon , David I. Schuster

Quantum gases in optical lattices offer an opportunity to experimentally realize and explore condensed matter models in a clean, tunable system. We investigate the Bose-Hubbard model on a microscopic level using single atom-single lattice…

In this paper, the quantum phase transition between superfluid state and Mott-insulator state is studied based on an extended Bose-Hubbard model with two- and three-body on-site interactions. By employing the mean-field approximation we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Bo-Lun Chen , Xiao-Bin Huang , Su-Peng Kou , Yunbo Zhang

Recent advance in quantum simulations of interacting photons using superconducting circuits offers opportunities for investigating the Bose-Hubbard model in various geometries with hopping coefficients and self-interactions tuned to both…

Superconductivity · Physics 2016-03-01 Xiu-Hao Deng , Chen-Yen Lai , Chih-Chun Chien

We employ a field-theoretical approach to analyze the Bose-Hubbard model on a lattice, with a focus on the low-energy properties across the Mott insulator (MI) to superfluid (SF) transition. Prior approaches approximated the partition…

Quantum Gases · Physics 2025-05-08 Idan S. Wallerstein , Eytan Grosfeld

The interplay between magnetism and metal-insulator transitions is fundamental to the rich physics of the single band fermion Hubbard model (FHM). Recent progress in experiments on trapped ultra-cold atoms have made possible the exploration…

Other Condensed Matter · Physics 2009-04-10 G. G. Batrouni , V. G. Rousseau , R. T. Scalettar

We use Quantum Monte Carlo simulations and exact diagonalization to explore the phase diagram of the Bose-Hubbard model with an additional superlattice potential. We first analyze the properties of superfluid and insulating phases present…

Other Condensed Matter · Physics 2017-09-11 V. G. Rousseau , D. P. Arovas , M. Rigol , F. Hébert , G. G. Batrouni , R. T. Scalettar

We investigate the superfluid-insulator transition of one-dimensional interacting Bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on Monte-Carlo simulations in continuum space and Luttinger…

We consider the Bose-Hubbard model in a two dimensional rotating optical lattice and investigate the consequences of the effective magnetic field created by rotation. Using a Gutzwiller type variational wavefunction, we find an analytical…

Mesoscale and Nanoscale Physics · Physics 2008-04-15 R. O. Umucalilar , M. O. Oktel

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 study the Bose-Hubbard model using the finite size density matrix renormalization group method. We obtain for the first time a complete phase diagram for a system in the presence of a harmonic trap and compare it with that of the…

Other Condensed Matter · Physics 2009-11-13 S. Ramanan , Tapan Mishra , Meetu Sethi Luthra , Ramesh V. Pai , B. P. Das

We investigate harmonically-trapped, laser-pumped bosons with infinite-range interactions induced by a dissipative high-finesse red-detuned optical cavity with numerical and analytical methods. We obtain multiple cavity and atomic…

Quantum Gases · Physics 2019-07-12 Rui Lin , Luca Papariello , Paolo Molignini , R. Chitra , Axel U. J. Lode

We consider the Bose-Hubbard model on a two-leg ladder under an artificial magnetic field, and investigate the superfluid-to-Mott insulator transition in this setting. Recently, this system has been experimentally realized [M.Atala…

Quantum Gases · Physics 2015-02-03 Ahmet Keleş , M. Ö. Oktel

We consider a square optical lattice in two dimensions and study the effects of both the strength and symmetry of spin-orbit-coupling (SOC) and Zeeman field on the ground-state, i.e., Mott insulator (MI) and superfluid (SF), phases and…

Quantum Gases · Physics 2014-04-07 A. T. Bolukbasi , M. Iskin

The superfluid to Mott insulator transition and the superradiant transition are textbook examples for quantum phase transition and coherent quantum optics, respectively. Recent experiments in ETH and Hamburg succeeded in loading degenerate…

Quantum Gases · Physics 2016-04-20 Yu Chen , Zhenhua Yu , Hui Zhai

We numerically study the superfluid to Mott insulator transition for bosonic atoms in a one dimensional lattice by exploiting a recently developed simulation method for strongly correlated systems. We demonstrate this methods accuracy and…

Soft Condensed Matter · Physics 2009-11-10 S. R. Clark , D. Jaksch

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 Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

We analyze the ground state properties of Bose-Fermi mixtures using a mean-field treatment of the boson-fermion interaction on a simple cubic lattice. In the deep superfluid limit of the bosonic sector and the BCS regime of the fermion…

Quantum Gases · Physics 2016-10-24 Marin Bukov , Lode Pollet
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