Article ID Journal Published Year Pages File Type
977204 Physica A: Statistical Mechanics and its Applications 2006 10 Pages PDF
Abstract
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 dynamics for “local” operators, we show how to evaluate both the thermal average 〈σjx〉 and the correlation function 〈σjxσj+rx〉. Furthermore, it is demonstrated for the first time that the limit m→∞ of the thermal state vector |Ψmax(m)(β)〉 exists in the diagonalized representation and that this thermal state vector can be regarded as the ground state vector of the corresponding virtual system.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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