Non-Markovian dynamical maps and spin relaxation

作者：Uchiyama Chikako^*

来源：Physics Letters A, 2006, 356(4-5): 294-305.

DOI：10.1016/j.physleta.2006.03.072

• not completely positive map
• projection operator method
• non-Markovian effect
• Hilbert-Schmidt space

Non-Markovian dynamical maps are derived by using the projection operator method in Hilbert-Schmidt space. The eigenvalues and eigenvectors of the obtained maps describe the relaxation processes. We found that a dynamical map for a spin-bath model periodically becomes positive but not completely positive by the non-Markovian effect of the system-reservoir interaction.

• 出版日期2006-8-14