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Recent experiments on strongly-interacting bosons in optical lattices have revealed the co-existence of spatially-separated Mott-insulating and number-fluctuating phases. The description of this inhomogeneous situation is the topic of this…

Other Condensed Matter · Physics 2008-08-15 R. A. Barankov , C. Lannert , S. Vishveshwara

Synthetic spin-orbit coupling in ultracold atomic gases can be taken to extremes rarely found in solids. We study a two dimensional Hubbard model of bosons in an optical lattice in the presence of spin-orbit coupling strong enough to drive…

Quantum Gases · Physics 2017-11-21 Mi Yan , Yinyin Qian , Hoi-Yin Hui , Ming Gong , Chuanwei Zhang , Vito W. Scarola

We investigate the ground state properties of the repulsive interacting bosons in an one dimensional rotating lattice ring, and reveal that the superfluid density of the system and the mass current it can carry in the rotating coordinate…

Other Condensed Matter · Physics 2007-05-23 Qi Zhou

A theoretical study of interacting bosons in a periodic optical lattice is presented. Instead of the commonly used tight-binding approach (applicable near the Mott insulating regime of the phase diagram), the present work starts from the…

Quantum Gases · Physics 2015-06-22 Qin-Qin Lü , Kelly R. Patton , Daniel E. Sheehy

In this work we study ultracold Fermions confined in a two-dimensional optical lattice and we explore the Mott-insulator transition with the Fermi-Hubbard model. On the basis of a mean-field approach, we study the phase diagrams in the…

Mesoscale and Nanoscale Physics · Physics 2008-05-19 N. Goldman

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

Ultra-cold atoms in optical lattices realize simple, fundamental models in condensed matter physics. Our 87Rb Bose-Einstein condensate is confined in a harmonic trapping potential to which we add an optical lattice potential. Here we…

Quantum Gases · Physics 2010-09-15 K. Jimenez-Garcia , R. L. Compton , Y. -J. Lin , W. D. Phillips , J. V. Porto , I. B. Spielman

A phase transition for bosonic atoms in a two-dimensional anisotropic optical lattice is considered. If the tunnelling rates in two directions are different, the system can undergo a transition between a two-dimensional superfluid and a…

Other Condensed Matter · Physics 2009-11-13 Magnus Rehn , Sara Bergkvist , Anders Rosengren , Robert Saers , Martin Zelán , Emil Lundh , Anders Kastberg

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the…

Quantum Gases · Physics 2010-12-30 Rashi Sachdeva , Sonika Johri , Sankalpa Ghosh

We study the superfluid to Mott-insulator transition of bosons in an optical anizotropic lattice by employing the Bose-Hubbard model living on a two-dimensional lattice with anizotropy parameter $\kappa$. The compressible superfluid state…

Other Condensed Matter · Physics 2009-02-11 T. P. Polak , T. K. Kopec

We study an atomic Bose-Fermi mixture in an optical lattice which is confined using an optical trap. We obtain the Mott ground states of such a system in the limit of deep optical lattice and discuss the effect of quantum fluctuations on…

Strongly Correlated Electrons · Physics 2007-09-17 K. Sengupta , N. Dupuis , P. Majumdar

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We study the quantum phases of bosons confined in a combined potential of a one-dimensional double-well optical lattice and a parabolic trap. We apply the time-evolving block decimation method to the corresponding two-legged Bose-Hubbard…

Other Condensed Matter · Physics 2008-06-21 Ippei Danshita , Carlos A. R. Sa de Melo , Charles W. Clark

We study stability of superflow of Bose gases in optical lattices by analyzing the Bose-Hubbard model within the Gutzwiller mean-field approximation. We calculate the excitation spectra of the homogeneous Bose-Hubbard model at unit filling…

Quantum Gases · Physics 2013-05-30 Takuya Saito , Ippei Danshita , Takeshi Ozaki , Tetsuro Nikuni

We theoretically analyze the response properties of ultracold bosons in optical lattices to the static variation of the trapping potential. We show that, upon an increase of such potential (trap squeezing), the density variations in a…

Strongly Correlated Electrons · Physics 2010-03-23 Tommaso Roscilde

Strongly interacting bosons in 2D in a rotating square lattice are investigated via a modified Bose-Hubbard Hamiltonian. Such a system corresponds to a rotating lattice potential imprinted on a trapped Bose-Einstein condensate. Second-order…

Other Condensed Matter · Physics 2009-11-11 Rajiv Bhat , L. D. Carr , M. J. Holland

We derive the equation of state of bosons in an optical lattice in the framework of the Bose-Hubbard model. Near the density-driven Mott transition, the expression of the pressure P({\mu},T) versus chemical potential and temperature is…

Quantum Gases · Physics 2012-03-07 A. Rancon , N. Dupuis

Experimental realizations of ``atomtronic" Josephson junctions have recently been created in annular traps in relative rotation with respect to potential barriers that generate the weak links. If these devices are additionally subjected to…

Quantum Gases · Physics 2025-08-08 Manjari Gupta , H. R. Krishnamurthy , J. K. Freericks

We study interacting bosons in optical lattices in the weak-tunneling regime in systems that exhibit the coexistence of Mott-insulating and condensed phases. We discuss the nature of the condensed ground state in this regime and the…

Other Condensed Matter · Physics 2010-09-27 Kuei Sun , Courtney Lannert , Smitha Vishveshwara

Spectral properties of the two-dimensional Bose-Hubbard model, which emulates ultracold gases of atoms confined in optical lattices, are investigated by means of the variational cluster approach. The phase boundary of the quantum phase…

Quantum Gases · Physics 2010-01-13 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden