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Strongly interacting atoms trapped in optical lattices can be used to explore phase diagrams of Hubbard models. Spatial inhomogeneity due to trapping typically obscures distinguishing observables. We propose that measures using boson double…

Quantum Gases · Physics 2012-04-25 Y. Khorramzadeh , Fei Lin , V. W. Scarola

On the basis of quantum Monte Carlo (QMC) simulations we study the formation of Mott domains in the one-dimensional Hubbard model with an additional confining potential. We find evidences of quantum critical behavior at the boundaries of…

Strongly Correlated Electrons · Physics 2007-05-23 Marcos Rigol , Alejandro Muramatsu

In the absence of a confining potential, the boson Hubbard model in its ground state is known to exhibit a superfluid to Mott insulator quantum phase transition at commensurate fillings and strong on-site repulsion. In this paper, we use…

Superconductivity · Physics 2008-11-03 G. G. Batrouni , V. Rousseau , R. T. Scalettar , M. Rigol , A. Muramatsu , P. J. H. Denteneer , M. Troyer

Motivated by the recent rapid development of the field of quantum gases in optical lattices, we present a comprehensive study of the spectrum of ultracold atoms in a one-dimensional optical lattice subjected to a periodic lattice…

Quantum Gases · Physics 2011-10-11 Jia-Wei Huo , Fu-Chun Zhang , Weiqiang Chen , M. Troyer , U. Schollwöck

We compute the phase diagram of the one-dimensional Bose-Hubbard model with a quasi-periodic potential by means of the density-matrix renormalization group technique. This model describes the physics of cold atoms loaded in an optical…

Strongly Correlated Electrons · Physics 2008-08-24 G. Roux , T. Barthel , I. P. McCulloch , C. Kollath , U. Schollwoeck , T. Giamarchi

We characterize the Mott insulating regime of a repulsively interacting Fermi gas of ultracold atoms in a three-dimensional optical lattice. We use in-situ imaging to extract the central density of the gas, and to determine its local…

We analyze stability of superfluid currents in a system of strongly interacting ultra-cold atoms in an optical lattice. We show that such a system undergoes a dynamic, irreversible phase transition at a critical phase gradient that depends…

Soft Condensed Matter · Physics 2007-05-23 E. Altman , A. Polkovnikov , E. Demler , B. Halperin , M. D. Lukin

We investigate the breathing mode of harmonically trapped bosons in an optical lattice at small site occupancies. The Bose-Hubbard model with a trapping potential is used to describe the breathing-mode dynamics initiated through weak…

Quantum Gases · Physics 2014-01-01 Wladimir Tschischik , Roderich Moessner , Masudul Haque

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 present a brief overview of the phases and dynamics of ultracold bosons in an optical lattice in the presence of a tilt. We begin with a brief summary of the possible experimental setup for generating the tilt. This is followed by a…

Quantum Gases · Physics 2022-10-13 K. Sengupta

We study the dynamic response of ultracold bosons trapped in one-dimensional optical lattices using Quantum Monte Carlo simulations of the boson Hubbard model with a confining potential. The dynamic structure factor reveals the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. G. Batrouni , F. F. Assaad , R. T. Scalettar , P. J. H. Denteneer

Ultra-cold atom experiments offer the unique opportunity to study mixing of different types of superfluid states. Our interest is in superfluid mixtures comprising particles with different statistics- Bose and Fermi. Such scenarios occur…

Quantum Gases · Physics 2015-03-18 B. Ramachandhran , S. G. Bhongale , H. Pu

We study properties of ultra-cold bosonic atoms in one, two and three dimensional optical lattices by large scale quantum Monte Carlo simulations of the Bose Hubbard model in parabolic confinement potentials. Local phase structures of the…

Statistical Mechanics · Physics 2007-05-23 Stefan Wessel , Fabien Alet , Matthias Troyer , G. George Batrouni

We investigate the non-equilibrium behavior of a fully-connected (or all-to-all coupled) Bose-Hubbard model after a Mott to superfluid quench, in the limit of large boson densities and for an arbitrary number $V$ of lattice sites, with…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Andrea Pizzi , Fabrizio Dolcini , Karyn Le Hur

Recently it has been suggested that fermions whose hopping amplitude is quenched to extremely low values provide a convenient source of local disorder for lattice bosonic systems realized in current experiment on ultracold atoms. Here we…

Disordered Systems and Neural Networks · Physics 2009-01-30 P. Buonsante , F. Massel , V. Penna , A. Vezzani

We present numerically exact non-equilibrium dynamics of a one-dimensional Bose gas in quasi-periodic lattice that plays an intermediate role between the long-ranged order and truly disordered systems exhibiting unusual correlated phases.…

Quantum Gases · Physics 2025-09-25 Attis V. M. Marino , M. A. Caracanhas , V. S. Bagnato , B. Chakrabarti

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 report results of quantum Monte Carlo simulations in the canonical and the grand-canonical ensemble of the two- and three-dimensional Bose-Hubbard model with quadratic and quartic confining potentials. The quantum criticality of the…

Other Condensed Matter · Physics 2007-05-23 Olivier Gygi , Helmut G. Katzgraber , Matthias Troyer , Stefan Wessel , G. George Batrouni

We investigate the effect of the trapping potential on the quantum phases of strongly correlated ultracold bosons in one-dimensional periodic and quasiperiodic optical lattices. By means of a decoupling meanfield approach, we characterize…

Quantum Gases · Physics 2015-02-26 Uttam Shrestha , Michele Modugno

Ultracold mixtures of different atomic species have great promise for realizing novel many-body phenomena. In a binary mixture of femions with a large mass difference and repulsive interspecies interactions, a disordered Mott insulator…

Quantum Gases · Physics 2014-07-04 Anzi Hu , M. M. Maśka , Charles W. Clark , J. K. Freericks
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