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A system of coupled photonic cavities on a two-dimensional square lattice is systematically investigated using the stochastic series expansion quantum Monte Carlo method. The ground state phase diagram contains insulating phases with…

Other Condensed Matter · Physics 2008-08-18 Jize Zhao , Anders W. Sandvik , Kazuo Ueda

We study Mott insulator - superfluid transition in a two-band boson Hubbard model, which can be mapped onto a spin-1/2 XY model with spins coupled to an additional Ising degree of freedom. By using a modified mean field theory that include…

Statistical Mechanics · Physics 2009-11-13 Huai-Bin Zhuang , Michael Ma , Xi Dai , Fu-Chun Zhang

Regular arrays of electromagnetic resonators, in turn coupled coherently to individual quantum two-level systems, exhibit a quantum phase transition of polaritons from a superfluid phase to a Mott-insulating phase. The critical behavior of…

Other Condensed Matter · Physics 2009-08-18 Jens Koch , Karyn Le Hur

We present a strong-coupling expansion of the Bose-Hubbard model which describes both the superfluid and the Mott phases of ultracold bosonic atoms in an optical lattice. By performing two successive Hubbard-Stratonovich transformations of…

Strongly Correlated Electrons · Physics 2007-05-23 K. Sengupta , N. Dupuis

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than it has been done…

Other Condensed Matter · Physics 2007-07-12 B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

We present the general lattice model for a multi-component atomic Bose-Einstein system in the optical lattice. Using the model, we analytically study the quantum phase transition between Mott insulator and superfluid. A mean-field theory is…

Soft Condensed Matter · Physics 2009-11-07 Guang-Hong Chen , Yong-Shi Wu

For a system at a temperature of absolute zero, all thermal fluctuations are frozen out, while quantum fluctuations prevail. These microscopic quantum fluctuations can induce a macroscopic phase transition in the ground state of a many-body…

Quantum Gases · Physics 2025-06-27 Markus Greiner , Olaf Mandel , Tilman Esslinger , Theodor W Hänsch , Immanuel Bloch

We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block decimation method, we numerically calculate the tunneling splitting of two…

Quantum Gases · Physics 2015-05-30 Ippei Danshita , Anatoli Polkovnikov

The coexistence of superfluid and Mott insulator, due to the quadratic confinement potential in current optical lattice experiments, makes the accurate detection of the superfluid-Mott transition difficult. Studying alternative trapping…

Other Condensed Matter · Physics 2015-05-13 Ping Nang Ma , Kai Yu Yang , Lode Pollet , J. V. Porto , Matthias Troyer , Fu Chun Zhang

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

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

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

We consider the Bose-Hubbard model on a two-leg ladder under an artificial magnetic field, and investigate the superfluid-to-Mott insulator transition in this setting. Recently, this system has been experimentally realized [M.Atala…

Quantum Gases · Physics 2015-02-03 Ahmet Keleş , M. Ö. Oktel

We propose a cold-atom setup which allows for a dimensional crossover from a two-dimensional quantum spin Hall insulating phase to a three-dimensional strong topological insulator by tuning the hopping between the layers. We further show…

Quantum Gases · Physics 2015-02-18 Mathias S. Scheurer , Stephan Rachel , Peter P. Orth

We study the quantum phase transition in optical lattices using ordinary Bose Hubbard Hamiltonian within two loop approximation in variational perturbation theory. We have shown that this approximation can reproduce superfluid Mott…

Quantum Gases · Physics 2012-06-05 H. Kleinert , Z. Narzikulov , Abdulla Rakhimov

We study the Mott phases and the superfluid-insulator transition of two-component ultracold bosons on a square optical lattice in the presence of a non-Abelian synthetic gauge field, which renders a SU(2) hopping matrix for the bosons.…

Quantum Gases · Physics 2011-11-29 T. Grass , K. Saha , K. Sengupta , M. Lewenstein

A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott…

Other Condensed Matter · Physics 2009-11-13 Sara Bergkvist , Robert Saers , Emil Lundh , Anders Rosengren , Magnus Rehn , Anders Kastberg

We study the Mott insulator-superfluid transition of ultracold bosonic atoms in a two-dimensional square optical lattice in the presence of a synthetic magnetic field with p/q (p and q being co-prime integers) flux quanta passing through…

Strongly Correlated Electrons · Physics 2015-05-18 S. Sinha , K. Sengupta

In this paper, we investigate systematically the Mott-insulator-Superfluid quantum phase transitions for ultracold scalar bosons in triangular, hexagonal, as well as Kagom\'e optical lattices. With the help of field-theoretical effective…

Statistical Mechanics · Physics 2012-06-01 Zhi Lin , Jun Zhang , Ying Jiang

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…

Strongly Correlated Electrons · Physics 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol