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Atomic or molecular bosons in harmonically confined optical lattices exhibit a wedding cake structure consisting of insulating (Mott) shells. It is shown that superfluid regions emerge between Mott shells as a result of fluctuations due to…

Other Condensed Matter · Physics 2007-05-23 Kaushik Mitra , C. J. Williams , C. A. R. Sa de Melo

We study the superfluid to Mott insulator transition of bosons in a two-legged ladder optical lattice, of a type accessible in current experiments on double-well optical lattices. The zero-temperature phase diagram is mapped out, with a…

Other Condensed Matter · Physics 2009-11-13 Ippei Danshita , James E. Williams , Carlos A. R. Sa de Melo , Charles W. Clark

The zero-temperature phase diagram of a binary mixture of bosonic and fermionic atoms in an one-dimensional optical lattice is studied in the framework of the Bose-Fermi-Hubbard model. By exact numerical solution of the associated…

Statistical Mechanics · Physics 2009-11-10 R. Roth , K. Burnett

We report on the direct observation of the transition from a compressible superfluid to an incompressible Mott insulator by recording the in-trap density distribution of a Bosonic quantum gas in an optical lattice. Using spatially selective…

Other Condensed Matter · Physics 2008-04-18 Simon Foelling , Artur Widera , Torben Mueller , Fabrice Gerbier , Immanuel Bloch

We analyze the behavior of cold spin-1 particles with antiferromagnetic interactions in a one-dimensional optical lattice using density matrix renormalization group calculations. Correlation functions and the dimerization are shown and we…

Other Condensed Matter · Physics 2009-11-11 Sara Bergkvist , Ian McCulloch , Anders Rosengren

We study the excitation spectrum of strongly correlated lattice bosons for the Mott-insulating phase and for the superfluid phase close to localization. Within a Schwinger-boson mean-field approach we find two gapped modes in the Mott…

Other Condensed Matter · Physics 2007-05-23 S. D. Huber , E. Altman , H. P. Büchler , G. Blatter

We realize a one-dimensional Josephson junction using quantum degenerate Bose gases in a tunable double well potential on an atom chip. Matter wave interferometry gives direct access to the relative phase field, which reflects the interplay…

We study the scattering of a matter-wave from an interacting system of bosons in an optical lattice, focusing on the strong-interaction regime. Analytical expressions for the many-body scattering cross section are derived from a…

Quantum Physics · Physics 2015-05-13 Klaus Mayer , Alberto Rodriguez , Andreas Buchleitner

We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show…

Quantum Gases · Physics 2020-02-17 Yu-Lian Chen , Guo-Qing Zhang , Dan-Wei Zhang , Shi-Liang Zhu

We compute the energy absorbed by a one dimensional system of cold bosonic atoms in an optical lattice subjected to lattice amplitude modulation periodic with time. We perform the calculation for the superfluid and the Mott insulator…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. Iucci , M. A. Cazalilla , A. Ho , T. Giamarchi

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 explore the consequences of disorder on phase coherence in the Mott insulator phases in an optical lattice. Few bosons with contact interaction in small optical lattice can feature varieties of insulating phases: weakly interacting Mott…

Quantum Gases · Physics 2024-11-19 Barnali Chakrabarti , Arnaldo Gammal , Luca Salasnich

We analyze the developing of bipartite and multipartite entanglement through the Mott-Insulator - Superfluid quantum phase transition. Starting from a Mott insulator state, where a filling factor $\nu = N/M = 1$ per lattice site is…

Quantum Physics · Physics 2008-12-24 R. J. Costa Farias , M. C. de Oliveira

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

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto

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

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

We study a simple model of interacting bosons on a d-dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences…

Quantum Gases · Physics 2022-09-14 Ethan Lake , Michael Hermele , T. Senthil

The superfluid-Mott insulator transition of spin-2 boson atoms with repulsive interaction in an optical lattice in a magnetic field is presented. By using the mean field theory, Mott ground states and phase diagrams of superfluid-Mott…

Soft Condensed Matter · Physics 2009-11-10 Shuo Jin , Jing-Min Hou , Bing-Hao Xie , Li-Jun Tian , Mo-Lin Ge

To analyze the ground-state phase diagram of Bose-Bose mixtures loaded into $d$-dimensional hypercubic optical lattices, we perform a strong-coupling power-series expansion in the kinetic energy term (plus a scaling analysis) for the…

Quantum Gases · Physics 2015-05-14 M. Iskin