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25 April 2024
 
  » arxiv » quant-ph/0604054

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On the quantum master equation for fermions
C. F. Huang ; K.-N. Huang ;
Date 9 Apr 2006
AbstractA quantum master equation is obtained for identical fermions by including a relaxation term in addition to the mean-field Hamiltonian. [C. F. Huang and K.-N. Huang, Chinese J. Phys. ${f 42}$, 221 (2004); Ralph Gebauer and Roberto Car, Phys. Rev. B ${f 70}$, 125324 (2004).] It is shown in this paper that both the positivity and Pauli exclusion principle are preserved under this quantum master equation when there exists an upper bound for the transition rate. Such an equation can be reduced to a Markoff master equation of Lindblad form in the low-density limit with respect to particles or holes.
Source arXiv, quant-ph/0604054
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