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Entangled trajectory molecular dynamics in multidimensional systems: two-dimensional quantum tunneling through the
Lifei Wang1, Craig C Martens, Yujun Zheng
1School of Physics, Shandong University, Jinan 250100, China.
The Journal of Chemical Physics
|July 27, 2012
Summary
The entangled trajectory molecular dynamics (ETMD) method is extended to multidimensional systems, accurately simulating quantum tunneling. This advancement provides vivid interpretations of quantum phenomena by comparing quantum and classical trajectories.
Area of Science:
- Quantum mechanics
- Computational chemistry
- Molecular dynamics
Background:
- The entangled trajectory molecular dynamics (ETMD) method has been developed for simulating quantum systems.
- Extending ETMD to multidimensional systems is crucial for more complex molecular simulations.
- Accurate treatment of general potentials is a challenge in quantum dynamics.
Purpose of the Study:
- To extend the entangled trajectory molecular dynamics (ETMD) method to multidimensional systems.
- To apply the extended ETMD method to a two-dimensional scattering model.
- To provide a vivid interpretation of quantum tunneling by comparing quantum and classical trajectories.
Main Methods:
- The integrodifferential form of the evolution equation for the Wigner function is utilized.
- The extended ETMD method is applied to a two-dimensional Eckart barrier model.
- Results are compared with quantum hydrodynamics and exact quantum simulations.
Main Results:
- The extended ETMD method successfully simulates multidimensional systems.
- ETMD results show good agreement with quantum hydrodynamics and exact quantum simulations.
- The comparison of quantum and classical trajectories offers a vivid interpretation of quantum tunneling.
Conclusions:
- The extended ETMD method is a viable approach for multidimensional quantum dynamics.
- The method accurately captures quantum mechanical effects like tunneling.
- This work provides new insights into the interpretation of quantum phenomena in molecular systems.
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