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Exact diagonalization techniques are a powerful method for studying many-body problems. Here, we apply this method to systems of few bosons in an optical lattice, and use it to demonstrate the emergence of interesting quantum phenomena like…

Quantum Gases · Physics 2017-05-22 David Raventós , Tobias Graß , Maciej Lewenstein , Bruno Juliá-Díaz

We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that…

Quantum Gases · Physics 2012-07-24 Michael Foss-Feig , Ana Maria Rey

The superfluid -- Mott insulator phase transition in a Bose-Einstein condensate of neutral atoms with doubly degenerate internal ground states in an optical lattice is theoretically investigated. The optical lattice is created by two…

Condensed Matter · Physics 2009-11-10 K. V. Krutitsky , R. Graham

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the mobility of the particles (Mott insulating or superfluid…

Quantum Gases · Physics 2015-06-16 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We investigate the zero-temperature phases of bosons in a one-dimensional optical lattice with an explicit tunnel coupling to a Bose condensed particle reservoir. Renormalization group analysis of this system is shown to reveal three…

Statistical Mechanics · Physics 2009-11-10 Kingshuk Majumdar , H. A. Fertig

Repulsively bound pairs of particles in a lattice governed by the Bose-Hubbard model can form stable incompressible clusters of dimers corresponding to finite-size n=2 Mott insulators. Here we study the dynamics of hole defects in such…

Quantum Physics · Physics 2012-04-04 Dominik Muth , David Petrosyan , Michael Fleischhauer

Finite systems of bosons and/or fermions described by the Hubbard model can be realized using ultracold atoms confined in optical lattices. The ground states of these systems often exhibit a coexistence of compressible superfluid and…

Quantum Gases · Physics 2015-07-24 Sunil Yeshwanth , Marcos Rigol , Stephan Haas , Lorenzo Campos Venuti

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

We study the Josephson effect between atomic Bose-Einstein condensates. By drawing on an electrostatic analogy, we derive a semiclassical functional expression for the three-dimensional Josephson coupling energy in terms of the condensate…

Condensed Matter · Physics 2009-10-30 Ivar Zapata , Fernando Sols , Anthony J. Leggett

We describe interacting mixtures of ultracold bosonic and fermionic atoms in harmonically confined optical lattices. For a suitable choice of parameters we study the emergence of superfluid and Fermi liquid (non-insulating) regions out of…

Other Condensed Matter · Physics 2013-05-29 Kaushik Mitra , C. J. Williams , C. A. R. Sá de Melo

We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a 1D optical lattice. After discussing the commensurate-incommensurate transition, we focus on the phases appearing at incommensurate…

Quantum Gases · Physics 2015-05-27 Achilleas Lazarides , Olivier Tieleman , Cristiane Morais Smith

For a hard-core Bose gas on a one-dimensional lattice we find characteristic oscillations in the density-density correlation function. Their wavelength diverges as the system undergoes a continuous transition from an incommensurate to a…

Statistical Mechanics · Physics 2016-08-31 C. Ates , Ch. Moseley , K. Ziegler

We calculate the radio-frequency spectrum of a trapped cloud of cold bosonic atoms in an optical lattice. Using random phase and local density approximations we produce both trap averaged and spatially resolved spectra, identifying simple…

Quantum Gases · Physics 2010-03-11 Kaden R. A. Hazzard , Erich J. Mueller

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 dynamics of bosonic atoms in elongated Josephson junctions. We find that these systems are characterized by an intrinsic coupling between the Josephson mode of macroscopic quantum tunneling and the sound modes. This…

Quantum Gases · Physics 2021-06-18 F. Binanti , K. Furutani , L. Salasnich

The competition between short-range and cavity-mediated infinite-range interactions in a cavity-boson system leads to the existence of a superfluid phase and a Mott-insulator phase within the self-organized regime. In this work, we…

We consider a boundary between a Mott insulator and a superfluid region of a Bose-Hubbard model at unit filling. Initially both regions are decoupled and cooled to their respective ground states. We show that, after switching on a small…

Strongly Correlated Electrons · Physics 2008-02-20 Michael J. Hartmann , Martin B. Plenio

We use a two-color lattice to break the homogeneous site occupation of an atomic Mott Insulator of bosonic 87Rb. We detect the disruption of the ordered Mott domains via noise correlation analysis of the atomic density distribution after…

Other Condensed Matter · Physics 2015-06-01 V. Guarrera , N. Fabbri , L. Fallani , C. Fort , K. M. R. van der Stam , M. Inguscio

We investigate spin-order of ultracold bosons in an optical lattice by means of Dynamical Mean-Field Theory. A rich phase diagram with anisotropic magnetic order is found, both for the ground state and at finite temperatures. Within the…

Other Condensed Matter · Physics 2009-12-15 A. Hubener , M. Snoek , W. Hofstetter

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