Embedding quantum systems with a non-conserved probability in classical environments

作者：Sergi Alessandro^*

来源：Theoretical Chemistry Accounts, 2015, 134(6): 79.

DOI：10.1007/s00214-015-1679-6

• Non-Hermitian Hamiltonians
• Non-unitary dynamics
• Quantum-classical dynamics

Quantum systems with a non-conserved probability can be described by means of non-Hermitian Hamiltonians and non-unitary dynamics. In this paper, the case in which the degrees of freedom can be partitioned in two subsets with light and heavy masses is treated. A classical limit over the heavy coordinates is taken in order to embed the non-unitary dynamics of the subsystem in a classical environment. Such a classical environment, in turn, acts as an additional source of dissipation (or noise), beyond that represented by the non-unitary evolution. The non-Hermitian dynamics of a Heisenberg two-spin chain, with the spins independently coupled to harmonic oscillators, is considered in order to illustrate the formalism.

• 出版日期2015-6-10