Quantum-to-Classical Reduction of Quantum Master Equations

作者: Norikazu Kamiya

DOI: 10.1093/PTEP/PTV034

关键词:

摘要: A general method of quantum-to-classical reduction quantum dynamics is described. The key aspect our the similarity transformation Liouvillian, which provides a new perspective. In conventional studies energy transport, rotating wave approximation has been frequently regarded as an inappropriate approach because it causes flow through system to vanish. Our formulation elucidates why this unphysical result occurs and solution for problem. That is, not only density matrix but also physical quantity be transformed. Moreover, we show that can "exactly" replaced with classical equations calculation transport efficiency.

参考文章(40)
Marko Žnidarič, Tomaž Prosen, Giuliano Benenti, Giulio Casati, Davide Rossini, Thermalization and ergodicity in one-dimensional many-body open quantum systems Physical Review E. ,vol. 81, pp. 051135- ,(2010) , 10.1103/PHYSREVE.81.051135
Francesco Petruccione, Heinz-Peter Breuer, The Theory of Open Quantum Systems ,(2002)
Qing-Hu Chen, Qing-Hu Chen, Ke-Wei Sun, Ke-Wei Sun, Ke-Wei Sun, Chen Wang, Heat transport in an open transverse-field Ising chain EPL. ,vol. 92, pp. 24002- ,(2010) , 10.1209/0295-5075/92/24002
Tatsuro Yuge, Takahiro Sagawa, Ayumu Sugita, Hisao Hayakawa, Geometrical pumping in quantum transport: Quantum master equation approach Physical Review B. ,vol. 86, pp. 235308- ,(2012) , 10.1103/PHYSREVB.86.235308
Stéphane Attal, Yan Pautrat, From Repeated to Continuous Quantum Interactions Annales Henri Poincaré. ,vol. 7, pp. 59- 104 ,(2006) , 10.1007/S00023-005-0242-8
Mathias Michel, Ortwin Hess, Hannu Wichterich, Jochen Gemmer, Transport in open spin chains: a Monte Carlo wave-function approach Physical Review B. ,vol. 77, pp. 104303- ,(2008) , 10.1103/PHYSREVB.77.104303
Jinshan Wu, Mona Berciu, Heat transport in quantum spin chains: Relevance of integrability Physical Review B. ,vol. 83, pp. 214416- ,(2011) , 10.1103/PHYSREVB.83.214416