On the quantum master equation for fermions

Details On the quantum master equation for fermions On the quantum master equation for fermions

2006-04-09

arxiv.org/abs/quant-ph/0604054v3

Physics

Quantum Physics

25 pages. It is discussed in the revised manuscript how to prove the trace invariance. Some details are incorporated in the ap

Scientific paper

A quantum master equation is obtained for identical fermions by including a relaxation term in addition to the mean-field Hamiltonian. [Huang C F and Huang K N 2004 Chinese J. Phys. ${\bf 42}$ 221; Gebauer R and Car R 2004 Phys. Rev. B ${\bf 70}$ 125324] It is proven in this paper that both the positivity and Pauli's exclusion principle are preserved under this equation when there exists an upper bound for the transition rate. Such an equation can be generalized to model BCS-type quasiparticles, and is reduced to a Markoff master equation of Lindblad form in the low-density limit with respect to particles or holes.

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