Secular master equation for adiabatically time dependent systems
arXiv:1208.0749 · doi:10.1103/PhysRevA.87.042111
Abstract
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.
5 pages
References in corpus (5)
- Adiabatic approximation in open quantum systems
- Gauging a quantum heat bath with dissipative Landau-Zener transitions
- Staying positive: going beyond Lindblad with perturbative master equations
- Decoherence of adiabatically steered quantum systems
- Geometric phase for an adiabatically evolving open quantum system
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