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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

We propose and analyse a Raman spectroscopy technique for probing the properties of quantum degenerate bosons in the ground band of an optical lattice. Our formalism describes excitations to higher vibrational bands and is valid for deep…

Other Condensed Matter · Physics 2009-11-11 P. Blair Blakie

We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial…

Quantum Gases · Physics 2010-07-13 Tudor D. Stanescu , Victor Galitski , S. Das Sarma

In the present work we discuss inter-species entanglement in Bose-Bose mixtures trapped in optical lattices. This work is motivated by the observation that, in the presence of a second component, the Mott-insulator lobe shifts…

Quantum Gases · Physics 2017-04-19 Wei Wang , Vittorio Penna , Barbara Capogrosso-Sansone

Starting from the equations of rotational hydrodynamics we study the macroscopic behaviour of a trapped Bose-Einstein condensate containing a large number of vortices. The stationary configurations of the system, the frequencies of the…

Soft Condensed Matter · Physics 2009-11-07 Marco Cozzini , Sandro Stringari

We study the dipole oscillations of strongly correlated 1D bosons, in the hard-core limit, on a lattice, by an exact numerical approach. We show that far from the regime where a Mott insulator appears in the system, damping is always…

Other Condensed Matter · Physics 2017-09-11 M. Rigol , V. Rousseau , R. T. Scalettar , R. R. P. Singh

We investigate the properties of trapped Bose-Fermi mixtures for experimentally relevant parameters in one dimension. The effect of the attractive Bose-Fermi interaction onto the bosons is to deepen the parabolic trapping potential, and to…

Other Condensed Matter · Physics 2008-03-03 Lode Pollet , Corinna Kollath , Ulrich Schollwoeck , Matthias Troyer

We study the dynamics of phase transitions in the one dimensional Bose-Hubbard model. To drive the system from Mott insulator to superfluid phase, we change the tunneling frequency at a finite rate. We investigate the build up of…

Other Condensed Matter · Physics 2009-11-11 Fernando M. Cucchietti , Bogdan Damski , Jacek Dziarmaga , Wojciech H. Zurek

We study the physics of interacting spin-$1$ bosons in an optical lattice using a variational Gutzwiller technique. We compute the mean-field ground state wave-function and discuss the evolution of the condensate, spin, nematic, and singlet…

Quantum Gases · Physics 2015-04-16 Stefan S. Natu , J. H. Pixley , S. Das Sarma

We present a detailed study of the Bose-Hubbard model in a $p$-band triangular lattice by focusing on the evolution of orbital order across the superfluid-Mott insulator transition. Two distinct phases are found in the superfluid regime.…

Strongly Correlated Electrons · Physics 2021-07-13 Hua Chen , X. C. Xie

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively…

Quantum Gases · Physics 2022-10-18 Shraddha Sharma , Simon B. Jaeger , Rebecca Kraus , Tommaso Roscilde , Giovanna Morigi

We show that multi-orbital and density-induced tunneling have a significant impact on the phase diagram of bosonic atoms in optical lattices. Off-site interactions lead to density-induced hopping, the so-called bond-charge interactions,…

Quantum Gases · Physics 2012-03-27 D. -S. Lühmann , O. Jürgensen , K. Sengstock

We study the `tilting' of Mott insulators of bosons into metastable states. These are described by Hamiltonians acting on resonant subspaces, and have rich possibilities for correlated phases with non-trivial entanglement of pseudospin…

Quantum Gases · Physics 2015-03-17 Susanne Pielawa , Takuya Kitagawa , Erez Berg , Subir Sachdev

We study vortex lattice structures of a trapped Bose-Einstein condensate in a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. By rotating the lattice potential, we observe the transition from…

Other Condensed Matter · Physics 2009-11-11 T. Sato , T. Ishiyama , T. Nikuni

We consider interacting bosons in a 2D square and a 3D cubic optical lattice with a periodic modulation of the s-wave scattering length. At first we map the underlying periodically driven Bose-Hubbard model for large enough driving…

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 use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi

Weakly interacting atomic or molecular bosons in quantum degenerate regime and trapped in harmonically confined optical lattices, exhibit a wedding cake structure consisting of insulating (Mott) shells. It is shown that superfluid regions…

Other Condensed Matter · Physics 2009-11-13 Kaushik Mitra , C. J. Williams , C. A. R. Sa de Melo

Ultracold miscible mixtures of bosonic gases have been observed to form quantum droplet states stabilized by beyond-mean-field quantum fluctuations. Here we study the properties of the droplets when subjected to harmonic trapping in one…

Quantum Gases · Physics 2025-08-18 Srivatsa B. Prasad , Thomas P. Billam , Nick G. Parker

We present in this paper an analytical model for a cold bosonic gas on an optical lattice (with densities of the order of 1 particle per site) targeting the critical regime of the Bose - Einstein Condensate superfluid - Mott insulator…

Other Condensed Matter · Physics 2013-05-29 Esteban Calzetta , Bei-Lok Hu , Ana Maria Rey
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