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Decoupling quantum dissipation interaction via stochastic fields.

¹State Key Laboratory of Molecular Reaction Dynamics, Center for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100080, China.

The Journal of Chemical Physics

|July 23, 2004

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A new method uses a Hubbard-Stratonovich transformation to decouple system-bath interactions, creating random fields for analyzing quantum systems. This approach yields exact master equations for models, advancing theoretical physics research.

Area of Science:

Quantum mechanics
Statistical physics
Theoretical chemistry

Background:

Dissipative interactions in quantum systems are challenging to model.
Existing methods often rely on approximations for system-bath dynamics.

Purpose of the Study:

To develop a novel theoretical methodology for handling system-bath interactions.
To formulate the reduced density matrix using an ensemble average in auxiliary white noise fields.

Main Methods:

Application of the Hubbard-Stratonovich transformation to decouple system and bath.
Development of a stochastic description based on random realizations in auxiliary white noise fields.
Revealing the connection between bath-induced fields and path integral influence functionals.

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Main Results:

The system and bath evolve in common classical random fields.
The reduced density matrix is expressed as an ensemble average.
Exact master equations derived for two model systems.
The relationship between bath-induced fields and influence functionals is established.

Conclusions:

The proposed stochastic methodology offers an exact approach to dissipative quantum dynamics.
This framework provides new insights into system-bath interactions and their influence on quantum evolution.