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Driven tunneling dynamics: Bloch-Redfield theory versus path-integral approach

Hartmann¹, Goychuk, Grifoni

¹Institut fur Physik, Universitat Augsburg, Germany.

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|October 14, 2000

Summary

We numerically show that path-integral and Bloch-Redfield methods are equivalent for spin-boson dynamics under weak coupling and low temperatures. This finding aids in understanding quantum coherence decay and control.

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Area of Science:

Quantum Dynamics
Quantum Optics
Condensed Matter Physics

Background:

Spin-boson dynamics are crucial for understanding quantum systems interacting with their environment.
Path-integral and Bloch-Redfield methods are common but distinct approximation techniques.
Quantum coherence is a key feature of quantum mechanics, susceptible to environmental noise.

Purpose of the Study:

To numerically demonstrate the equivalence of path-integral and Bloch-Redfield theories for spin-boson dynamics.
To validate these approximations using an analytical high-frequency approach.
To explore the influence of control fields on quantum coherence.

Main Methods:

Numerical simulations of spin-boson dynamics.
Comparison of results from path-integral and Bloch-Redfield approximation methods.
Application of an analytical high-frequency approximation for validation.

Main Results:

Established numerical equivalence between path-integral and Bloch-Redfield approaches under specific conditions (weak coupling, low temperature).
Confirmed that a high-frequency approach accurately approximates quantum coherence decay as damped oscillations.
Demonstrated that control fields can be used to manipulate quantum coherence.

Conclusions:

The equivalence of these two approximation methods simplifies the study of quantum systems.
Understanding coherence decay dynamics is essential for quantum information processing.
Tunable control fields offer a pathway for preserving or controlling quantum states.