Strong coupling theory for driven tunneling and vibrational relaxation

Area of Science:

• Quantum dynamics
• Chemical physics
• Condensed matter physics

Background:

• Multistable systems exhibit complex dynamics.
• Tunneling and vibrational relaxation are key quantum phenomena.
• Driven and dissipative environments significantly influence system behavior.

Purpose of the Study:

• To investigate tunneling and vibrational relaxation in a unified manner.
• To develop theoretical models for driven dissipative multistable systems.
• To explore dynamics under strong system-bath coupling.

Main Methods:

• Utilizing the discrete variable representation (DVR).
• Deriving coupled non-Markovian master equations.
• Employing analytical treatments for strong coupling regimes.
• "Ab initio" real-time path integral calculations for validation.

Main Results:

• A unified theoretical framework for tunneling and vibrational relaxation.
• Analytical solutions describing system dynamics.
• Validation of theoretical findings through advanced computational methods.

Conclusions:

• The study provides a comprehensive understanding of quantum dynamics in driven dissipative systems.
• The derived master equations offer a powerful tool for future research.
• Strong system-bath coupling plays a crucial role in governing system evolution.