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Ehrenfest Statistical Dynamics in Chemistry: Study of Decoherence Effects
J L Alonso1,2,3, P Bruscolini1,2, A Castro4
1Departamento de Física Teórica , Universidad de Zaragoza , Pedro Cerbuna 12 , ES 50009 Zaragoza , Spain.
Journal of Chemical Theory and Computation
|June 27, 2018
Summary
The Ehrenfest statistical dynamics (ESD) model demonstrates decoherence in quantum subsystems, contrary to previous assumptions. This study reveals the emergence of a pointer basis in quantum-classical molecular dynamics.
Area of Science:
- Quantum mechanics and molecular dynamics
- Statistical physics and quantum-classical systems
Background:
- The Ehrenfest model is often criticized for not accounting for decoherence in quantum subsystems.
- Previous work introduced Ehrenfest statistical dynamics (ESD) via a geometric approach, showing it does not preserve purity in a toy model.
Purpose of the Study:
- Investigate decoherence and pointer basis phenomena within the ESD model.
- Analyze a realistic molecular model comprising two classical cores and one quantum electron.
Main Methods:
- Quantifying decoherence by measuring the change in quantum subsystem purity.
- Identifying the pointer basis through analysis of the decoherence process.
Main Results:
- The Ehrenfest statistical dynamics (ESD) formalism rigorously demonstrates the existence of decoherence.
- For the studied molecular model, the pointer basis is identified as the eigenstates of the electronic Hamiltonian.
Conclusions:
- The ESD model, when rigorously analyzed, exhibits decoherence, validating its use in quantum-classical dynamics.
- The study confirms the emergence of a specific pointer basis in the decoherence process for molecular systems.
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