publication . Preprint . 2011

Linear response theory for quantum open systems

Wei, J. H.; Yan, YiJing;
Open Access English
  • Published: 30 Aug 2011
Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a quantum open system at its steady-state, which can be applied to various fields of non-equilibrium condensed matter physics.
free text keywords: Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Strongly Correlated Electrons
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[2] R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 24, 118 (1963).

[3] Jinshuang Jin, Xiao Zheng, and YiJing Yan, J. Chem. Phys. 128, 234703 (2008).

[6] Bj = −i Pν ´tt0 dτ Cμσν (t, τ )aνσ[ψ(τ )] + i Pν ´tt0 dτ Cμσ¯ν∗(t, τ )aνσ[ψ′(τ )]. B˜j is similar to Bj but with Cμσν/Cμσ¯ν∗ replaced by C˙ μσν /C˙ μσ¯ν∗.

[7] The validity of Dyson's equation in HEOM space is natural. One can directly verify Eq.(16) by inserting it into Eq.(5) and letting Lsf (t) = Lpr(t).

[8] In our theory, the fluctuation-dissipation theorem is naturally established. See Eq.(29).

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