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We discuss the application of the variational cluster perturbation theory (VCPT) to the Mott-insulator--to--superfluid transition in the Bose-Hubbard model. We show how the VCPT can be formulated in such a way that it gives a translation…

Other Condensed Matter · Physics 2007-05-23 W. Koller , N. Dupuis

We introduce a new technique to probe the properties of an interacting cold atomic gas that can be viewed as a dynamical compressibility measurement. We apply this technique to the study of the superfluid to Mott insulator quantum phase…

Other Condensed Matter · Physics 2009-11-13 H. Lignier , A. Zenesini , D. Ciampini , O. Morsch , E. Arimondo , S. Montangero , G. Pupillo , R. Fazio

The breakdown of the Mott insulator is studied when the dissipative tunneling into the environment is introduced to the system. By exactly solving the one-dimensional asymmetric Hubbard model, we show how such a breakdown of the Mott…

Statistical Mechanics · Physics 2009-10-31 T. Fukui , N. Kawakami

Using the strong coupling diagram technique a self-consistent equation for the electron Green's function is derived for the repulsive Hubbard model. Terms of two lowest orders of the ratio of the bandwidth $\Delta$ to the Hubbard repulsion…

Strongly Correlated Electrons · Physics 2019-05-21 A. Sherman

We analyse the distinction between the three different ground states presented by a system of spinless bosons with short-range interactions submitted to a random potential using the disordered Bose-Hubbard model. The criteria for…

Quantum Gases · Physics 2021-08-31 Renan da Silva Souza , Axel Pelster , Francisco E. A. dos Santos

In this paper we study the superfluid-Mott-insulator phase transition of ultracold dilute gas of bosonic atoms in an optical lattice by means of Green function method and Bogliubov transformation as well. The superfluid- Mott-insulator…

Soft Condensed Matter · Physics 2009-11-10 Jun-Jun Liang , J. -Q. Liang , W. -M. Liu

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 report on the investigation of the three-dimensional single-atom-resolved distributions of bosonic Mott insulators in momentum-space. Firstly, we measure the two-body and three-body correlations deep in the Mott regime, finding a…

Quantum Gases · Physics 2019-11-13 Cécile Carcy , Hugo Cayla , Antoine Tenart , Alain Aspect , Marco Mancini , David Clément

We introduce and analyze an exactly soluble one-dimensional Ising model with long range interactions which exhibits a mixed order transition (MOT), namely a phase transition in which the order parameter is discontinuous as in first order…

Statistical Mechanics · Physics 2013-12-03 Amir Bar , David Mukamel

The interaction-driven Mott transition in the half-filled Hubbard model is a first-order phase transition that terminates at a critical point $(T_\mathrm{c},U_\mathrm{c})$ in the temperature-interaction plane $T-U$. A number of crossovers…

Strongly Correlated Electrons · Physics 2020-04-07 A. Reymbaut , M. Boulay , L. Fratino , P. Sémon , Wei Wu , G. Sordi , A. -M. S. Tremblay

We expose the relevance of double occupancy conservation symmetry in application of the Hubbard-I approach to strongly correlated electron systems. We propose the utility of a composite method, viz. the Hubbard-I method in conjunction with…

Strongly Correlated Electrons · Physics 2013-01-10 Przemyslaw R. Grzybowski , Ravindra W. Chhajlany

An interesting first order type phase transition between Mott lobes has been reported in Phys. Rev. Lett. 109, 135302 (2012) for a two-dimensional Bose-Hubbard model in the presence of attractive three-body interaction. We re-visit the…

Quantum Gases · Physics 2018-08-22 Manpreet Singh , Sebastian Greschner , Tapan Mishra

We consider bosonic atoms in an optical lattice at integer filling, tuned to the superfluid-Mott insulator critical point, and coupled to a single, mobile impurity atom of a different species. This setup is inspired by current experiments…

Quantum Gases · Physics 2015-06-12 Matthias Punk , Subir Sachdev

We study the superfluid to Mott insulator transition of a mixture of heavy bosons and light fermions loaded in an optical lattice. We focus on the effect of the light fermions on the dynamics of the heavy bosons. It is shown that, when the…

Quantum Gases · Physics 2013-12-20 E. Malatsetxebarria , Zi Cai , U. Schollwoeck , M. A. Cazalilla

We study Mott transition in the two-dimensional Hubbard model on an anisotropic triangular lattice. We use the Lanczos exact diagonalization of finite-size clusters up to eighteen sites, and calculate Drude weight, charge gap, double…

Strongly Correlated Electrons · Physics 2007-07-17 Takashi Koretsune , Yukitoshi Motome , Akira Furusaki

Using computational techniques, it is shown that pairing is a robust property of hole doped antiferromagnetic (AF) insulators. In one dimension (1D) and for two-leg ladder systems, a BCS-like variational wave function with long-bond…

Strongly Correlated Electrons · Physics 2009-11-07 S. Sorella , G. B. Martins , F. Becca , C. Gazza , L. Capriotti , A. Parola , E. Dagotto

The Mott metal-insulator transition in the Hubbard model is studied by constructing a dynamical slave-boson mean-field theory in the limit of large lattice coordination number $z$ that incorporates the binding between doubly occupied…

Strongly Correlated Electrons · Physics 2020-01-15 Sen Zhou , Long Liang , Ziqiang Wang

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

We observe evidence of first-order superfluid to Mott-insulator quantum phase transitions in a lattice-confined antiferromagnetic spinor Bose-Einstein condensate. The observed signatures include hysteresis effect and significant heatings…

Quantum Gases · Physics 2016-06-08 J. Jiang , L. Zhao , S. -T. Wang , Z. Chen , T. Tang , L. -M. Duan , Y. Liu

We analyze quantum phase transitions in a system of optical lattice bosons coupled to an array of atomic quantum dots, or pseudospins-1/2. The system parallels the Bose-Hubbard model with a single difference of the direct tunneling between…

Quantum Gases · Physics 2018-12-07 Damian Wozniak , Florian Magnus Dobler , Anna Posazhennikova
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