Wigner-Lindblad Equations for Quantum Friction

Denys I. Bondar, Renan Cabrera, Andre Campos, Shaul Mukamel, Herschel A. Rabitz

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Dissipative forces are ubiquitous and thus constitute an essential part of realistic physical theories. However, quantization of dissipation has remained an open challenge for nearly a century. We construct a quantum counterpart of classical friction, a velocity-dependent force acting against the direction of motion. In particular, a translationary invariant Lindblad equation is derived satisfying the appropriate dynamical relations for the coordinate and momentum (i.e., the Ehrenfest equations). Numerical simulations establish that the model approximately equilibrates. These findings significantly advance a long search for a universally valid Lindblad model of quantum friction and open opportunities for exploring novel dissipation phenomena.

Original languageAmerican English
Pages (from-to)1632-1637
Number of pages6
JournalJournal of Physical Chemistry Letters
Issue number9
StatePublished - May 5 2016

ASJC Scopus subject areas

  • General Materials Science
  • Physical and Theoretical Chemistry

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