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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…

其他凝聚态物理 · 物理学 2017-09-11 V. G. Rousseau , D. P. Arovas , M. Rigol , F. Hébert , G. G. Batrouni , R. T. Scalettar

We study a system of hard-core bosons at half-filling in a one-dimensional optical superlattice. The bosons are allowed to hop to nearest and next-nearest neighbor sites producing a zig-zag geometry and we obtain the ground state phase…

量子气体 · 物理学 2015-06-16 Arya Dhar , Tapan Mishra , Ramesh V. Pai , Subroto Mukerjee , B. P. Das

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…

量子气体 · 物理学 2017-05-22 David Raventós , Tobias Graß , Maciej Lewenstein , Bruno Juliá-Díaz

By means of diffusion Monte Carlo calculations, we investigated the quantum phase transition between a superfluid and a Mott insulator for a system of hard-sphere bosons in a quasi one-dimensional optical lattice. For this continuous…

量子气体 · 物理学 2014-03-05 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

We study the hard-core bosons in one-dimensional (1D) interacting topological bands at different filling factors using exact diagonalization. At the filling factor $\nu=1$ and in the presence of on-site Hubbard interaction, we find no sign…

强关联电子 · 物理学 2015-06-15 Huaiming Guo

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an…

量子气体 · 物理学 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

One dimensional free-fermions and hard-core bosons are often considered to be equivalent. Indeed, when restricted to nearest-neighbor hopping on a chain the particles cannot exchange themselves, and therefore hardly experience their own…

强关联电子 · 物理学 2011-08-11 François Crépin , Nicolas Laflorencie , Guillaume Roux , Pascal Simon

We study, using quantum Monte-Carlo simulations, the bosonic Kondo-Hubbard model in a two dimensional square lattice. We explore the phase diagram and analyse the mobility of particles and magnetic properties. At unit filling, the…

量子气体 · 物理学 2017-01-18 T. Flottat , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We investigate charge transport within some background medium by means of an effective lattice model with a novel form of fermion-boson coupling. The bosons describe fluctuations of a correlated background. By analyzing groundstate and…

强关联电子 · 物理学 2009-11-13 G. Wellein , H. Fehske , A. Alvermann , D. M. Edwards

We study phase diagrams of one-dimensional bosons with contact interactions in the presence of a lattice. We use the worm algorithm in continuous space and focus on the incommensurate superfluid Mott-insulator transition. Our results are…

量子气体 · 物理学 2016-09-07 Wei Xu , Maxim Olshanii , Marcos Rigol

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

介观与纳米尺度物理 · 物理学 2009-11-10 M. A. Cazalilla

We study a one-dimensional system of strongly correlated bosons on a dynamical lattice. To this end, we extend the standard Bose-Hubbard Hamiltonian to include extra degrees of freedom on the bonds of the lattice. We show that this minimal…

We study two-component bosons on the Harper-Hofstadter model with two legs. The synthetic magnetic fields for the two types of bosons point to either the same direction or opposite directions. The bosons have hardcore intra-species…

量子气体 · 物理学 2020-10-23 Jian-Dong Chen , Hong-Hao Tu , Ying-Hai Wu , Zhi-Fang Xu

Ultracold bosons in optical superlattices are expected to exhibit fractional-filling insulating phases for sufficiently large repulsive interactions. On strictly 1D systems, the exact mapping between hard-core bosons and free spinless…

统计力学 · 物理学 2007-05-23 Pierfrancesco Buonsante , Vittorio Penna , Alessandro Vezzani

We study the ground-state properties of ultracold bosons in an optical lattice in the regime of strong interactions. The system is described by a non-standard Bose-Hubbard model with both occupation-dependent tunneling and on-site…

量子气体 · 物理学 2011-04-13 Omjyoti Dutta , Andre Eckardt , Philipp Hauke , Boris Malomed , Maciej Lewenstein

We study the spatio-temporal dynamics of interacting bosons on a two-dimensional Hubbard lattice in the strongly interacting regime, taking into account the dynamics of condensate amplitude as well as the direct transport of non-condensed…

量子气体 · 物理学 2025-10-30 Julian Schwingel , Michael Turaev , Johann Kroha , Sayak Ray

We use quantum Monte Carlo and exact diagonalization calculations to study the Mott-insulator to superconductor quantum phase transition in a two-dimensional fermionic Hubbard model with attractive interactions in the presence of a…

强关联电子 · 物理学 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol

We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

量子气体 · 物理学 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

We develop an exact approach to study the quench dynamics of hard-core bosons initially in thermal equilibrium in one-dimensional lattices. This approach is used to study the sudden expansion of thermal states after confining potentials are…

量子气体 · 物理学 2018-01-23 Wei Xu , Marcos Rigol

We calculate the dynamical current and kinetic-energy correlation functions for the first Mott lobe of the one-dimensional Bose-Hubbard model. We employ the strong-coupling expansion up to sixth order in $x=t/U$, and the dynamical…

量子气体 · 物理学 2025-07-08 Kevin zu Münster , Florian Gebhard , Satoshi Ejima , Holger Fehske
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