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We analyze the eigenstates of a two-dimensional lattice with additional harmonic confinement in the presence of an artificial magnetic field. While the softness of the confinement makes a distinction between bulk and edge states difficult,…

Quantum Gases · Physics 2014-03-12 Andrey R. Kolovsky , Fabian Grusdt , Michael Fleischhauer

A low-energy effective theory for interacting bosons on a one-dimensional lattice at and near integer fillings is proposed. It is found that two sets of bosonic phase fields are necessary in order to explain the complete phase diagram.…

Superconductivity · Physics 2009-11-13 Yu-Wen Lee , Yu-Li Lee , Min-Fong Yang

We investigate a lattice scalar field theory in the presence of a bias favouring the establishment of an energy current, as a model for stationary nonequilibrium processes at low temperature in a non-integrable system. There is a transition…

Statistical Mechanics · Physics 2009-10-31 John Cardy , Peter Suranyi

We perform molecular dynamics simulations on an interacting electron gas confined to a cylindrical surface and subject to a radial magnetic field and the field of the positive background. In order to study the system at lowest energy states…

Statistical Mechanics · Physics 2009-11-07 Vishal Mehra , Jayme De Luca

A conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice is investigated by exact calculations. An importance of the electron hopping and spatial orientation of the…

Statistical Mechanics · Physics 2020-08-31 Hana Čenčariková , Jozef Strečka

On the grounds of a Feynman-Kac--type formula for Hamiltonian lattice systems we derive analytical expressions for the matrix elements of the evolution operator. These expressions are valid at long times when a central limit theorem…

Other Condensed Matter · Physics 2007-05-23 Massimo Ostilli , Carlo Presilla

A new kind of phase transition is proposed for lattice fermion systems with simplified f^2 configurations at each site. The free energy of the model is computed in the mean-field approximation for both the itinerant state with the Kondo…

Strongly Correlated Electrons · Physics 2009-10-30 Shinji Watanabe , Yoshio Kuramoto

We investigate a model for the regularly depleted two-leg spin ladder systems. By using Lieb-Schultz-Mattis theorem, it is rigorously shown that this model realizes massless excitations or, alternatively, a degenerate ground state, although…

Statistical Mechanics · Physics 2009-10-28 T. Fukui , M. Sigrist , N. Kawakami

We describe the design and implementation of a 2D optical lattice of double wells suitable for isolating and manipulating an array of individual pairs of atoms in an optical lattice. Atoms in the square lattice can be placed in a double…

Other Condensed Matter · Physics 2009-11-11 J. Sebby-Strabley , M. Anderlini , P. S. Jessen , J. V. Porto

We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the…

Soft Condensed Matter · Physics 2007-05-23 P. Buonsante , P. Kevrekidis , V. Penna , A. Vezzani

We report a detailed numerical investigation of a recently introduced two dimensional model for square-to-rectangle martensitic transformation that explains several unusual features of the martensitic transformation. This model includes…

Materials Science · Physics 2007-05-23 S. Sreekala , Rajeev Ahluwalia , G. Ananthakrishna

We study a harmonic triangular lattice, which relaxes in the presence of a weak, short-wavelength periodic potential. Monte Carlo simulations reveal that the elastic lattice has only short-ranged positional correlations, despite the absence…

Condensed Matter · Physics 2007-05-23 Ronald Dickman , Eugene M. Chudnovsky

In order to study effects of frustration in an itinerant electron system, we investigate ground states of the antiferromagnetic double-exchange model on a triangular lattice. In this model, pseudo-spins are coupled to electron transfer…

Strongly Correlated Electrons · Physics 2009-11-11 Yoshihiro Shimomura , Shin Miyahara , Nobuo Furukawa

We extend the idea of quantum phase transitions of light in the photonic Bose-Hubbard model with interactions to two atomic species by a self-consistent mean field theory. The excitation of two-level atoms interacting with coherent photon…

Quantum Physics · Physics 2015-05-18 Soi-Chan Lei , Tai-Kai Ng , Ray-Kuang Lee

As a step towards understanding multi-quark systems abundant in nature we construct a model that reproduces the binding energies of static four-quark systems. These energies have been calculated using SU(2) lattice gauge theory for a set of…

High Energy Physics - Lattice · Physics 2009-10-30 A. M. Green , P. Pennanen

A simple two-qubit model showing Quantum Phase Transitions as a consequence of ground state level crossings is studied in detail. Using the Concurrence of the system as an entanglement measure and heat capacity as a marker of…

Quantum Physics · Physics 2011-04-07 B. Leggio , A. Napoli , H. Nakazato , A. Messina

A two-dimensional lattice gas model is proposed. The ground state of this model with a fixed density is neither periodic nor quasi-periodic. It also depends on system size in an irregular manner. On the other hand, it is ordered in the…

Statistical Mechanics · Physics 2015-05-19 Shin-ichi Sasa

The problem of motion of a single electron interacting with a periodic lattice of two-level systems is investigated within a spinless fermion model. The Green's function is calculated in a single-site dynamical coherent potential…

Strongly Correlated Electrons · Physics 2011-07-27 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin

We study a quasi-one-dimensional non-reciprocal Hermitian hourglass photonic lattice that can accomplish multiple functions. Under the effect of non-reciprocal coupling, this lattice can produce an energy isolation effect, two kinds of flat…

Optics · Physics 2023-10-12 Junhao Yang , Yuandan Wang , Yu Lin , Wenjing Zhang , Guoguo Xin , Xinyuan Qi

We examine theoretically and experimentally the localized %and extended electrical modes existing in a bi-inductive electrical lattice containing a bulk or a surface capacitive impurity. By means of the formalism of lattice Green's…

Pattern Formation and Solitons · Physics 2019-12-18 M. I. Molina , L. Q. English , M-H. Chang , P. G. Kevrekidis