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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Trajectory based non-markovian dissipative tunneling.

Werner Koch¹, Frank Grossmann, David J Tannor

¹Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany.

Physical Review Letters

|January 15, 2011

Summary

This summary is machine-generated.

This study explores how a dissipative environment affects particle scattering using complex action Bohmian mechanics. It reveals unique tunneling probability changes and highlights limitations of Markovian master equations.

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Area of Science:

Quantum mechanics
Physical chemistry
Condensed matter physics

Background:

Dissipative environments significantly influence quantum phenomena.
Bohmian mechanics with complex action offers a novel approach to quantum scattering.
Understanding particle tunneling through barriers is crucial in various physical systems.

Purpose of the Study:

To investigate the effect of a dissipative environment on particle scattering by a barrier.
To extend the complex trajectory formalism to include environmental interactions.
To calculate transmission probabilities beyond the weak coupling regime.

Main Methods:

Utilizing Bohmian mechanics with complex action.
Extending the formalism to model particle interaction with harmonic oscillators at finite temperatures.
Calculating transmission probabilities and comparing with Markovian master equation solutions.

Main Results:

Observed an increase in tunneling probability for energies below the barrier.
Noted a decrease in transmission probability for energies above the barrier due to environmental coupling.
Demonstrated that Markovian master equation solutions generally fail to capture these effects.

Conclusions:

The dissipative environment significantly alters particle tunneling probabilities.
Complex action Bohmian mechanics provides a more comprehensive framework for these calculations.
Standard Markovian approaches may be insufficient for describing such quantum systems.