Markovian quantum master equation beyond adiabatic regime.

Area of Science:

• Quantum physics
• Quantum dynamics
• Quantum information

Background:

• The adiabatic regime is a common approximation in quantum dynamics.
• Existing quantum master equations often fail beyond the adiabatic approximation.
• Controlling quantum systems requires accurate models for non-adiabatic dynamics.

Purpose of the Study:

• To develop a general formulation of the Markovian quantum master equation.
• To extend quantum dynamics beyond the adiabatic regime.
• To provide a framework for quantum control in non-adiabatic systems.

Main Methods:

• Introducing a temporal change time scale τ_{A}(t) for the time-dependent system Hamiltonian.
• Developing a general formulation of the Markovian quantum master equation.
• Applying the framework to the dissipative Landau-Zener model.

Main Results:

• A general formulation of the Markovian quantum master equation is derived.
• The framework is valid even when the system's time scale is faster than the bath correlation function.
• The dissipative Landau-Zener model demonstrates the effectiveness of the new formulation.

Conclusions:

• The developed quantum master equation provides a basis for quantum control beyond the adiabatic regime.
• The findings are applicable to a wide range of quantum systems and fields.
• This work offers new possibilities for manipulating quantum states in non-equilibrium conditions.