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Studying open quantum systems by means of a deterministic approach to approximate functional integration
Vladimir D Rushai1, Yuri Yu Lobanov
1Joint Institute for Nuclear Research, Dubna, Russia.
Summary
A new method represents quantum system evolution using double functional integrals. This deterministic approach simplifies calculations, enabling efficient numerical studies of open quantum systems.
Area of Science:
- Quantum mechanics
- Statistical physics
- Computational physics
Background:
- Open quantum systems require methods to describe their time evolution.
- Traditional methods can be computationally intensive.
Purpose of the Study:
- To propose a novel representation for propagators in open quantum systems.
- To develop a deterministic numerical method for studying system dynamics.
Main Methods:
- Representing the propagator as a double functional integral with respect to conditional Wiener measure.
- Applying approximate formulas exact for functional polynomials.
- Reducing the problem to evaluating standard Riemann integrals of low multiplicity.
Main Results:
- A deterministic approach to calculating propagators for open quantum systems.
- The method allows for efficient numerical computation of time evolution.
- Demonstrated feasibility through examples.
Conclusions:
- The proposed functional integral method offers an efficient numerical approach for open quantum systems.
- This deterministic method simplifies complex quantum evolution calculations.