On the Small Mass Limit of Quantum Brownian Motion with Inhomogeneous Damping and Diffusion Articles uri icon

authors

  • Lim, Soon Hoe
  • Wehr, Jan
  • LAMPO, ANIELLO
  • García March, Miguel Ángel
  • LEWENSTEIN, MACIEJ

publication date

  • January 2018

start page

  • 351

end page

  • 377

issue

  • 2

volume

  • 170

International Standard Serial Number (ISSN)

  • 0022-4715

Electronic International Standard Serial Number (EISSN)

  • 1572-9613

abstract

  • We study the small mass limit (or: the Smoluchowski–Kramers limit) of a class of quantum Brownian motions with inhomogeneous damping and diffusion. For Ohmic bath spectral density with a Lorentz–Drude cutoff, we derive the Heisenberg–Langevin equations for the particle"s observables using a quantum stochastic calculus approach.

subjects

  • Mathematics

keywords

  • quantum brownian motion; heisenberg-langevin equation; small mass limit; smoluchowski-kramers limit; noise-induced drifts; quantum stochastic calculus