Trajectory Based Non-Markovian Dissipative Tunneling

Research output: Contribution to journalResearch articleContributedpeer-review



The influence of a dissipative environment on scattering of a particle by a barrier is investigated by using the recently introduced Bohmian mechanics with complex action [J. Chem. Phys. 125, 231103 (2006)]. An extension of this complex trajectory based formalism to include the interaction of the tunneling particle with an environment of harmonic oscillators with a continuous spectral density and at a certain finite temperature allows us to calculate transmission probabilities beyond the weak system bath coupling regime. The results display an increasing tunneling probability for energies below the barrier and a decreased transmission above the barrier due to the coupling. Furthermore, we demonstrate that solutions of a Markovian master equation fail to do so in general.


Original languageEnglish
Article number230405
Number of pages4
JournalThe physical review
Issue number23
Publication statusPublished - 3 Dec 2010

External IDs

Scopus 78649844316
WOS 000286736800001



  • WAVE-PACKET DYNAMICS, OPEN QUANTUM-SYSTEMS, BARRIER, RESONANCE, STATE, dissipative Quantendynamik, semiklassische Näherung