Alternative routes to equivalent classical models of a quantum system

作者：Radonjic M; Prvanovic Slobodan; Buric Nikola^*

来源：Chinese Physics B, 2012, 21(12): 120301.

DOI：10.1088/1674-1056/21/12/120301

• two-mode Bose-Hubbard model
• coarse-grained system
• Hamilton operator
• system dynamical algebra

Coarse-graining of some sort is a fundamental and unavoidable step in any attempt to derive the classical mechanical behavior from the quantum formalism. We utilize the two-mode Bose-Hubbard model to illustrate how different coarse-grained systems can be naturally associated with a fixed quantum system if it is compatible with different dynamical algebras. Alternative coarse-grained systems generate different evolutions of the same physical quantities, and the difference becomes negligible only in the appropriate macro-limit.

• 出版日期2012-12