6 citations · 8 across the 7 of their papers we have counts for
11 papers
One-parameter groups and combinatorial physics
Gerard Duchamp, Karol A. Penson, Allan I. Solomon +2
In this communication, we consider the normal ordering of sums of elements of the form (a*^r a a*^s), where a* and a are boson creation and annihilation operators. We discuss the i…
Dissipative Quantum Control
Allan I Solomon, Sonia G Schirmer
Nature, in the form of dissipation, inevitably intervenes in our efforts to control a quantum system. In this talk we show that although we cannot, in general, compensate for dissi…
Critical temperature for entanglement transition in Heisenberg models
Hongchen Fu, Allan I Solomon, Xiaoguang Wang
We study thermal entanglement in some low-dimensional Heisenberg models. It is found that in each model there is a critical temperature above which thermal entanglement is absent.
Combinatorial Physics, Normal Order and Model Feynman Graphs
A. I. Solomon, P. Blasiak, G. Duchamp +2
The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials. This problem leads to elegant g…
The Boson Normal Ordering Problem and Generalized Bell Numbers
P. Blasiak, K. A. Penson, A. I. Solomon
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for F[(a*)^r a^s], with r,s positive integers,[a,a*]=1, i.e. we provide exact and explici…
Combinatorics of Boson Normal Ordering: the Dobinski Formula Revisited
Karol A. Penson, Allan I. Solomon
We derive explicit formulas for the normal ordering of powers of arbitrary monomials of boson operators. These formulas lead to generalisations of conventional Bell and Stirling nu…