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We review the recent theoretical developments towards understanding the Mott phases and quantum phase transition of extended Bose-Hubbard models on lattices in two spatial dimensions . We focuss on the description of these systems using the…

Strongly Correlated Electrons · Physics 2009-11-13 K. Sengupta

We investigate the superfluid--Mott-insulator quantum phase transition of spin-1 bosons in an optical lattice created by pairs of counterpropagating linearly polarized laser beams, driving an $F_g=1$ to $F_e=1$ internal atomic transition.…

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

Already a few bosons with contact interparticle interactions in small optical lattices feature a variety of quantum phases: superfluid, Mott-insulator and fermionized Tonks gases can be probed in such systems. To detect these phases --…

Quantum Gases · Physics 2018-05-02 R. Roy , A. Gammal , M. C. Tsatsos , B. Chatterjee , B. Chakrabarti , A. U. J. Lode

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 population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low, below ten, number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to…

Quantum Gases · Physics 2013-07-30 D. M. Jezek , H. M. Cataldo

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

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

We study the ground-state properties of ultracold bosonic atoms in a state-dependent graphene-like honeycomb optical lattice, where the degeneracy between the two triangular sublattices A and B can be lifted. We discuss the various…

We extend the idea of quantum phase transitions of light in the photonic Bose-Hubbard model with interactions to two atomic species by a self-consistent mean field theory. The excitation of two-level atoms interacting with coherent photon…

Quantum Physics · Physics 2015-05-18 Soi-Chan Lei , Tai-Kai Ng , Ray-Kuang Lee

We study vortex-lattice phases for a Bose gas trapped in a rotating optical-lattice near the superfluid--Mott-insulator transition. We find a series of abrupt structural phase transitions where vortices are pinned with their cores only on…

Other Condensed Matter · Physics 2008-07-23 Daniel S. Goldbaum , Erich J. Mueller

We propose a new two--qubit phase gate for ultra--cold atoms confined in an experimentally realized tilted double--well optical lattice [Sebby--Strabley et al., Phys. Rev. A {\bf 73} 033605 (2006)]. Such a lattice is capable of confining…

Quantum Physics · Physics 2009-11-13 Frederick W. Strauch , Mark Edwards , Eite Tiesinga , Carl Williams , Charles W. Clark

The Mott insulator and superfluid phase transition is one of the most prominent phenomena in ultracold atoms. In this work, we report the observation of a novel 2D quantum phase transition between Mott insulator and $\pi$ superfluid in a…

Quantum Gases · Physics 2023-06-08 Jingxin Sun , Pengju Zhao , Zhongshu Hu , Shengjie Jin , Ren Liao , Xiong-Jun Liu , Xuzong Chen

We establish the phase diagram of the strongly-interacting Bose-Hubbard model defined on a two-leg ladder geometry in the presence of a homogeneous flux. Our work is motivated by a recent experiment [Atala et al., Nature Phys. 10, 588…

Quantum Gases · Physics 2015-04-16 M. Piraud , F. Heidrich-Meisner , I. P. McCulloch , S. Greschner , T. Vekua , U. Schollwoeck

We theoretically analyze the phase diagram of a quantum gas of bosons that interact via repulsive dipolar interactions. The bosons are tightly confined by an optical lattice in a quasi one-dimensional geometry. In the single-band…

Quantum Gases · Physics 2022-08-01 Rebecca Kraus , Titas Chanda , Jakub Zakrzewski , Giovanna Morigi

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

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 consider a minimal model to describe the quantum phases of ultracold dipolar bosons in two-dimensional (2D) square optical lattices. The model is a variation of the extended Bose-Hubbard model and apt to study the quantum phases arising…

Quantum Gases · Physics 2019-11-27 Soumik Bandyopadhyay , Rukmani Bai , Sukla Pal , K. Suthar , Rejish Nath , D. Angom

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal…

Statistical Mechanics · Physics 2007-05-23 M. Hild , F. Schmitt , R. Roth

The emerging hybrid cavity optomagnonic system is a very promising quantum information processing platform for its strong or ultrastrong photon-magnon interaction on the scale of micrometers in the experiment. In this paper, the…

Quantum Physics · Physics 2022-04-20 Qian Cao , Lei Tan , Wu-Ming Liu

We numerically investigate, using the time evolving block decimation algorithm, the quantum transport of ultra-cold bosonic atoms in a double well optical lattice through slow and periodic modulation of the lattice parameters (intra- and…

Quantum Gases · Physics 2011-07-22 Yinyin Qian , Ming Gong , Chuanwei Zhang