Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977204 | Physica A: Statistical Mechanics and its Applications | 2006 | 10 Pages |
Abstract
Thermo quantum dynamics, which is formulated by using the eigenstate |Ψmax(m)(β)ã 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 ãÏjxã and the correlation function ãÏjxÏj+rxã. Furthermore, it is demonstrated for the first time that the limit mââ of the thermal state vector |Ψmax(m)(β)ã exists in the diagonalized representation and that this thermal state vector can be regarded as the ground state vector of the corresponding virtual system.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Asuka Sugiyama, Hidenori Suzuki, Masuo Suzuki,