Driven Liouville von Neumann Equation in Lindblad Form

Oded Hod, César A. Rodríguez-Rosario, Tamar Zelovich, Thomas Frauenheim

Research output: Contribution to journalArticlepeer-review


The Driven Liouville von Neumann approach [J. Chem. Theory Comput. 2014, 10, 2927-2941] is a computationally efficient simulation method for modeling electron dynamics in molecular electronics junctions. Previous numerical simulations have shown that the method can reproduce the exact single-particle dynamics while avoiding density matrix positivity violation found in previous implementations. In this study we prove that in the limit of infinite lead models the underlying equation of motion can be cast in Lindblad form. This provides a formal justification for the numerically observed density matrix positivity conservation.

Original languageEnglish
Pages (from-to)3278-3285
Number of pages8
JournalJournal of Physical Chemistry A
Issue number19
StatePublished - 19 May 2016

All Science Journal Classification (ASJC) codes

  • Physical and Theoretical Chemistry


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