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Adiabatic theorem for a class of quantum stochastic equations

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 نشر من قبل Martin Fraas
 تاريخ النشر 2014
  مجال البحث فيزياء
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 تأليف Martin Fraas




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We derive an adiabatic theory for a stochastic differential equation, $ varepsilon, mathrm{d} X(s) = L_1(s) X(s), mathrm{d} s + sqrt{varepsilon} L_2(s) X(s) , mathrm{d} B_s, $ under a condition that instantaneous stationary states of $L_1(s)$ are also stationary states of $L_2(s)$. We use our results to derive the full statistics of tunneling for a driven stochastic Schr{o}dinger equation describing a dephasing process.



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