# Secular master equation for adiabatically driven time-dependent systems

@article{Kamleitner2013SecularME, title={Secular master equation for adiabatically driven time-dependent systems}, author={Ingo Kamleitner}, journal={Physical Review A}, year={2013}, volume={87}, pages={042111} }

Relying only on first principles, we derive a master equation of Lindblad form generally applicable for adiabatically time dependent systems. Our analysis shows that the much debated secular approximation can be valid for slowly time dependent Hamiltonians when performed in an appropriate basis. We apply our approach to the well known Landau-Zener problem where we find that adiabaticity is improved by coupling to a low temperature environment.

## 3 Citations

Markovian quantum master equation beyond adiabatic regime.

- Physics, MedicinePhysical review. E
- 2017

A general formulation of the Markovian quantum master equation is given to go well beyond the adiabatic regime, and is well justified even if τ_{A}(t) is faster than the decay time scale of the bath correlation function.

Time-dependent Markovian quantum master equation

- PhysicsPhysical Review A
- 2018

We construct a quantum Markovian Master equation for a driven system coupled to a thermal bath. The derivation utilizes an explicit solution of the propagator of the driven system. This enables the…

Calculating work in adiabatic two-level quantum Markovian master equations: a characteristic function method.

- Mathematics, PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

A characteristic function method is presented to calculate the probability density functions of the inclusive work in adiabatic two-level quantum Markovian master equations and finds that the fluctuation properties of the work can be described by the symmetry of the characteristic functions, which is exactly the same as in the case of isolated systems.

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