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The one dimensional Bose-Hubbard model at a unit filling factor is studied by means of a very high order symbolic perturbative expansion. Analytical expressions are derived for the ground state quantities such as energy per site, variance…

Other Condensed Matter · Physics 2009-11-11 Bogdan Damski , Jakub Zakrzewski

We study the ground state properties of spin-1 bosons in a two-dimensional optical lattice, by applying a variational Monte Carlo method to the S=1 Bose-Hubbard model on a square lattice at unit filling. A doublon-holon binding factor…

Quantum Gases · Physics 2012-06-08 Yuta Toga , Hiroki Tsuchiura , Makoto Yamashita , Kensuke Inaba , Hisatoshi Yokoyama

We address the nature of the Mott transition in the Hubbard model at half-filling using cluster Dynamical Mean Field Theory (DMFT). We compare cluster DMFT results with those of single site DMFT. We show that inclusion of the short range…

Strongly Correlated Electrons · Physics 2009-11-13 H. Park , K. Haule , G. Kotliar

We study two models realized by two-component Fermi gases loaded in optical lattices. We clarify that multi-band effects inevitably caused by the optical lattices generate a rich structure, when the systems crossover from the region of…

Quantum Gases · Physics 2015-05-14 Ryota Watanabe , Masatoshi Imada

We have studied the superfluid - Mott insulator transition in a BEC confined in an optical lattice and driven by an additional external electromagnetic field, which excites another internal state. It is shown that due to resonant strong…

Other Condensed Matter · Physics 2007-05-23 G. M. Genkin

The properties of fractional Chern insulator (FCI) phases and the phase transitions between FCI and Mott insulators (MI) in bosonic systems are well studied. The continuous transitions between FCI and superfluid (SF), however, despite the…

Strongly Correlated Electrons · Physics 2025-05-07 Hongyu Lu , Han-Qing Wu , Bin-Bin Chen , Zi Yang Meng

Effective Field Theory (EFT) stands as a cornerstone in modern theoretical physics, offering a powerful framework for describing the dynamics of physical systems across a wide range of energy scales. This article provides an in-depth…

High Energy Physics - Phenomenology · Physics 2024-05-15 Waqas Riaz

We study the effects of an artificial gauge field on the ground-state phases of the Bose-Hubbard model on a checkerboard superlattice in two dimensions, including the superfluid phase and the Mott and alternating Mott insulators. First, we…

Quantum Gases · Physics 2012-03-06 M. Iskin

The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

We examine the quench dynamics across quantum phase transitions from a Mott insulator (MI) to a superfluid (SF) phase in a two-component bosonic mixture in an optical lattice. We show that two-component Bose mixtures exhibit qualitatively…

Quantum Gases · Physics 2025-02-24 Pardeep Kaur , Kuldeep Suthar , Dilip Angom , Sandeep Gautam

We have studied superfluid-Mott insulating transition of spin-1 bosons interacting antiferromagnetically in an optical lattice. We have obtained the zero-temperature phase diagram by a mean-field approximation and have found that the…

Soft Condensed Matter · Physics 2013-05-29 Shunji Tsuchiya , Susumu Kurihara , Takashi Kimura

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

The objective of this paper is the theoretical description of the Mott-insulator to superfluid quantum phase transition of a Bose gas in an optical lattice. In former works the Rayleigh-Schr\"odinger perturbation theory was used within a…

Quantum Gases · Physics 2019-06-19 M. Kübler , F. T. Sant'Ana , F. E. A. dos Santos , A. Pelster

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

Insulator-metal transition is investigated self-consistently on the frustrated Shastry-Sutherland lattice in the framework of Slave-Boson mean-field theory. Due to the presence of quasi-flat band structure characteristic, the system…

Strongly Correlated Electrons · Physics 2019-10-08 Huai-Xiang Huang , Jing Chen , Wei Ren , Yi Gao , Wei Li , Yan Chen

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…

Quantum Gases · Physics 2014-03-05 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

The interplay between magnetism and metal-insulator transitions is fundamental to the rich physics of the single band fermion Hubbard model (FHM). Recent progress in experiments on trapped ultra-cold atoms have made possible the exploration…

Other Condensed Matter · Physics 2009-04-10 G. G. Batrouni , V. G. Rousseau , R. T. Scalettar

We study the dynamics of two-field models of inflation characterized by a hierarchy of masses between curvature and isocurvature modes. When the hierarchy is large, a low energy effective field theory (EFT) exists in which only curvature…

High Energy Physics - Theory · Physics 2015-06-03 Sebastian Cespedes , Vicente Atal , Gonzalo A. Palma

We discuss the Jaynes-Cummings-Hubbard model (JCHM) describing the superfluid-Mott insulator transition of polaritons (i.e., dressed photon-qubit states) in coupled qubit-cavity arrays in the crossover from strong to weak correlations. In…

Quantum Physics · Physics 2013-11-13 Sebastian Schmidt , Gianni Blatter , Jonathan Keeling

Extensions of Berry's phase and the quantum Hall effect have led to the discovery of new states of matter with topological properties. Traditionally, this has been achieved using gauge fields created by magnetic fields or spin orbit…

Quantum Gases · Physics 2015-10-28 Colin J. Kennedy , William Cody Burton , Woo Chang Chung , Wolfgang Ketterle