Density Matrix Evolution

• Schrödinger time evolution:

  • ??/?t = - i[H,?]
  • = - i[H0,?] – W ? – ? W when H=H0–iW

• Semigroup time evolution

  • ?' = – i[H,?] + Sm(2Lm?Lm+–Lm+Lm?– ?Lm+Lm)/2
  • - general trace-preserving master equation
  • Lm are any operators: ‘Lindblads’
  • from G. Lindblad, Commun Math Phys 48, 119 (1976):

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