1Complexity Science Center, Yangzhou University, Yangzhou 225002
2Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
3Energenius Centre for Advanced Nanotechnology, University of Toronto, Toronto M5S 3E4, Canada
Schrödinger Equation for an Open System
BI Qiao1,2,3;H. E. Ruda3
1Complexity Science Center, Yangzhou University, Yangzhou 225002
2Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
3Energenius Centre for Advanced Nanotechnology, University of Toronto, Toronto M5S 3E4, Canada
Abstract： We present a Schrödinger (Liouville) type of equation for a quantum open system. It has a correlated part, and various master equations may be its special cases. It also has significant applications to construct decoherence-free subspace for quantum computation. It is related to the original Schrödinger (Liouville) equation for the total system through a non-unitary similarity transformation. It is unnecessary for its correlated part to be self-adjoint, so there is a complex spectrum for the corresponding Hamiltonian (Liouvillian), which enables the time evolution of states to be asymetric. This shows just the correlation to produce evolution of world.
BI Qiao;;H. E. Ruda. Schrödinger Equation for an Open System[J]. 中国物理快报, 2002, 19(9): 1238-1241.
BI Qiao, , H. E. Ruda. Schrödinger Equation for an Open System. Chin. Phys. Lett., 2002, 19(9): 1238-1241.
2002, Vol. 19 
