The topological interaction method proposed by Suzuki is applied to the transverse Ising chain and XY chain in order to study the behaviour of the boundary–boundary correlations. The correlation function 〈σ1xσNx〉 for the thermodynamic limit is derived by this method as a function of the...

Thermo quantum dynamics, which is formulated by using the eigenstate |Ψmax(m)(β)〉 of the quantum transfer-matrix with the maximum eigenvalue (where m denotes the Trotter number and β=1/kBT), is applied to a transverse Ising chain. In order to exemplify the formulation of the thermo quantum...