The low-temperature series are calculated for the free energy, magnetization and susceptibility in the Q-state Potts model on the square lattice, using the improved algorithm of the finite lattice method. The series are obtained to the order of z for each of Q = 5− 50, and the result of their Padé type analysis is compared with those of the large-Q expansion and the Monte Carlo simulations.

We use femtosecond electron diffraction to study ultrafast lattice dynamics in the highly correlated antiferromagnetic (AFM) semiconductor NiO. Using scattering vector ($Q$) dependence of Bragg diffraction, we introduce $Q$-resolved effective temperatures describing transient lattice. identify a nonthermal state with preferential displacement O compared Ni ions, which occurs within $\ensuremath...

The relation between approach regions and singularities of nonnegative kernels Kt(x, y) is studied, where t ∈ (0,∞), x, y ∈ X, and X is a homogeneous space. For 1 ≤ p < q < ∞, a sufficient condition on approach regions Ωa (a ∈ X) is given so that the maximal function sup (x,t)∈Ωa ∫ X Kt(x, y)f(y) dσ(y) is weak-type (p, q) with respect to a pair of measures σ and ω. It is shown that this conditi...

Let X = {Xn, n ≥ 1}, X ′ = {X ′ n, n ≥ 1} and X ′′ = {X ′′ n, n ≥ 1} be three independent copies of a symmetric random walk in Z3 with E(|X1| log+ |X1|) < ∞. In this paper we study the asymptotics of In, the number of triple intersections up to step n of the paths of X , X ′ and X ′′ as n→∞. Our main result is lim sup n→∞ In log(n) log3(n) = 1 π|Q| a.s. where Q denotes the covariance matrix of ...

We propose a lattice-based scheme for secret key generation from Gaussian sources in the presence of an eaves-dropper, and show that it achieves strong capacity case degraded source models, as well optimal / public communication rate trade-off. The ingredients our are use modulo lattice operation to extract channel intrinsic randomness, based on notion flatness factor, together with randomized ...

Quantum computer provides new opportunities for quantum chemistry. In this article, we present a versatile, extensible, and efficient software package, named Q$^2$Chemistry, developing algorithms inspired classical in the field of wave function Hamiltonian can be conveniently mapped into qubit space, then circuits generated according to specific algorithm already implemented package or newly de...

We have designed a new type of optical channel drop filter (CDF) based on two dimensionaltriangular lattice photonic crystals. CDF operation is based on coupling to the photonic crystalwaveguide. The proposed structure is optimized to work as a CDF for obtaining the CDFcharacteristics and band structure of the filter the finite difference time domain (FDTD) method andplane wave expansion (PWE) ...