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A sectionally pseudocomplemented poset P is one which has the top element and in which every principal order filter is a pseudocomplemented poset. The sectional pseudocomplements give rise to an implication-like operation on P which…

Logic · Mathematics 2013-01-07 J\{=}anis C\=ırulis

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…

Quantum Gases · Physics 2012-05-22 L. de Forges de Parny , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

We study the phase diagram of the one-dimensional boson gas trapped inside an optical lattice with contact and dipolar interaction taking into account next-nearest terms for both tunneling and interaction. Using the density matrix…

Quantum Gases · Physics 2018-06-06 Krzysztof Biedroń , Mateusz Łącki , Jakub Zakrzewski

We investigate a system of two- and three-body constrained dipolar bosons in a pair of one-dimensional optical lattices coupled to each other by the non-local dipole-dipole interactions. Assuming attractive dipole-dipole interactions, we…

Quantum Gases · Physics 2017-11-08 Manpreet Singh , Suman Mondal , B. K. Sahoo , Tapan Mishra

Unconventional strongly correlated phases of the repulsive Fermi-Hubbard model, which could be emulated by ultracold vapors loaded in optical lattices, are investigated by means of energy minimizations with quantum number projection before…

Quantum Gases · Physics 2015-10-20 A. Leprévost , O. Juillet , R. Frésard

Motivated by the recent development in strong spin-orbit-coupled materials, we consider the dipole-octupole doublets on the triangular lattice. We propose the most general interaction between these unusual local moments. Due to the…

Strongly Correlated Electrons · Physics 2016-11-23 Yao-Dong Li , Xiaoqun Wang , Gang Chen

We experimentally show that dipolar interaction can stabilize otherwise unstable many-body systems like an attractive Bose gas. In a one dimensional lattice the repulsive dipolar on-site interaction balances negative scattering lengths up…

Quantum Gases · Physics 2012-02-03 S. Müller , J. Billy , E. A. L. Henn , H. Kadau , A. Griesmaier , M. Jona-Lasinio , L. Santos , T. Pfau

We study the extended Bose--Hubbard model describing an ultracold gas of dipolar molecules in an optical lattice, taking into account all on-site and nearest-neighbor interactions, including occupation-dependent tunneling and pair tunneling…

Quantum Gases · Physics 2013-04-10 Tomasz Sowiński , Omjyoti Dutta , Philipp Hauke , Luca Tagliacozzo , Maciej Lewenstein

We present a comprehensive study of the polarization and spatial coherence properties of the lasing modes supported by a 4-fold symmetric plasmonic lattice. By modifying only, the scattering properties of the individual particles while…

We develop a strong-coupling perturbation theory for the extended Bose-Hubbard model with on-site and nearest-neighbor boson-boson repulsions on ($d > 1$)-dimensional hypercubic lattices. Analytical expressions for the ground-state phase…

Strongly Correlated Electrons · Physics 2015-05-13 M. Iskin , J. K. Freericks

We construct Zariski-dense surface subgroups in infinitely many commensurability classes of uniform lattices of the split real Lie groups $\operatorname{SL}(n,\mathbb{R})$, $\operatorname{Sp}(2n,\mathbb{R})$, $\operatorname{SO}(k+1,k)$, and…

Geometric Topology · Mathematics 2023-02-21 Jacques Audibert

We investigate in this paper the ground state and the nature of the transition from an orientational ordered phase at low temperature to the disordered state at high temperature in a molecular crystal. Our model is a Potts model which takes…

Statistical Mechanics · Physics 2015-06-03 Danh-Tai Hoang , H. T. Diep

In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one components, namely interlaced solitons. These are waveforms in which in the relevant anti-continuum limit, i.e.…

Pattern Formation and Solitons · Physics 2015-05-20 J. Cuevas , Q. E. Hoq , H. Susanto , P. G. Kevrekidis

We consider a mixture of two bosonic species with tunable interspecies interaction in a periodic potential and discuss the advantages of low filling factors on the detection of the pair-superfluid phase. We show how the emergence of such a…

Quantum Gases · Physics 2015-05-14 Chiara Menotti , Sandro Stringari

The influence of disorder on ultracold atomic Bose gases in quasiperiodic optical lattices is discussed in the framework of the one-dimensional Bose-Hubbard model. It is shown that simple periodic modulations of the well depths generate a…

Statistical Mechanics · Physics 2018-03-14 R. Roth , K. Burnett

Quantum phases of matter are routinely identified by coherence features, with interference patterns being one of the most directly observable quantities. In lattices, the superfluid-to-Mott-insulator (SF-MI) transition is commonly viewed as…

We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction,…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Simon Lamowski , Charlie-Ray Mann , Felicitas Hellbach , Eros Mariani , Guillaume Weick , Fabian Pauly

We study interacting bosons in a two dimensional bipartite optical lattice. By focusing on the regime where the first three excited bands are nearly degenerate we derive a three orbital tight-binding model which captures the most relevant…

Quantum Gases · Physics 2012-08-20 Jani-Petri Martikainen , Jonas Larson

We investigate the representation of lattices as sublattices of the lattice of all convex subsets (intervals) of a linearly ordered set $(X,\le)$. We introduce the purely lattice-theoretic notion of a \textit{loc-lattice} and prove that…

General Mathematics · Mathematics 2026-03-23 P. Douka , V. Felouzis

Order-disorder transitions are widely explored in various vortex structures in condensed matter physics, i.e., in the type-II superconductors and Bose-Einstein condensates. In this study, we have investigated the ordering of the polar…