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116  Articles
This article reviews the development in our laboratory of magnetic lattices comprising periodic arrays of magnetic microtraps created by patterned magnetic films to trap periodic arrays of ultracold atoms. Recent achievements include the realisation of mu... see more

We construct the fcc (face centered cubic), bcc (body centered cubic) and sc (simple cubic) lattices as the root and the weight lattices of the affine extended Coxeter groups W(A3) and W(B3)=Aut(A3). It is naturally expected that these rank-3 Coxeter-Weyl... see more

Extremal lattices are lattices maximal in size with respect to the number n of their join-irreducible elements with bounded Vapnik-Chervonekis dimension k. It is natural, however, to estimate the size of a lattice also with respect to the number of its me... see more

One of the key merits of PT-symmetric (i.e., parity times time reversal symmetric) quantum Hamiltonians H lies in the existence of a horizon of the stability of the system. Mathematically speaking, this horizon is formed by the boundary of the domain D(H)... see more

In this paper mainly important properties of skew lattices and symmetric Lattices is obtained. A necessary and sufficient condition for skew lattice to be symmetric is obtained. Maximal element of a skew lattice is also obtained.

This paper is devoted to relationships between weakly compact operators and M- weakly compact (L-weakly compact) operators acting from (resp. into) Banach lattices. We define the M - Dunford - Pettis Property for Banach lattices and the L-Dunford-Pettis P... see more

The diffusion in one-dimensional disordered lattice with Gaussian distribution of site and transition energies has been studied by mean of kinetic Monte-Carlo simulation. We focus on investigating the influence of energetic disorders and diffusive particl... see more

ERRATUM: Néel State in the Fermionized Spin 12\frac{1}{2} Heisenberg Antiferromagnet on Hypercubic and Triangular Lattices [Pham Thi Thanh Nga and Nguyen Toan Thang, Comm. Phys. 22\textit{Comm. Phys. } \textbf{22} (1) (2012) 33]

We study the Néel state of the spin 1/2 Heisenberg antiferromagnet model on hypercubic and triangular lattices, employing an auxiliary fermion representation for spin operators with Popov-Fedotov trick. The unphysical states are eliminated on each site b... see more

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