Universality of quantum Brownian motion

  title={Universality of quantum Brownian motion},
  author={Eric Lutz and Hans A. Weidenmueller},
  journal={Physica A-statistical Mechanics and Its Applications},
  • E. Lutz, H. Weidenmueller
  • Published 2 November 1998
  • Mathematics, Physics
  • Physica A-statistical Mechanics and Its Applications
Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath interaction to derive Markovian master equations for the time evolution of one-dimensional quantum systems weakly coupled to a heat bath. We study in detail two simple systems, the harmonic oscillator and the two-level system. Our results are in complete agreement… 
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