Effective operator formalism for open quantum systems
By F. Reiter, Anders Søndberg Sørensen. 2011
250 citations recorded by the source corpus.
We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to the ground-state dynamics. The effective evolution involves a single effective Hamiltonian and one effective Lindblad operator for each naturally occurring decay process. Simple expressions are derived for the effective operators which can be directly applied to reach effective equations of motion for the ground states. We compare our method with the hitherto existing concepts for effective interactions and present physical examples for the application of our formalism, including dissipative state preparation by engineered decay processes.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/0f366fd2c4344472a1f6132067daeab6864146f1
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Geometry and Response of Lindbladians (2015, methodology): “While we focus on response to Hamiltonian perturbations within first order and evolution within the adiabatic limit, it would be interesting to apply our results further to Lindbladian perturbations [127], second-order perturbative effects [137,153], and corrections to adiabatic evolution.”
- Topological Phases of Non-Hermitian Systems (2018, methodology): “After adiabatically eliminating the fast decay modes [178], we end up with an effective dynamics with target degrees of freedom alone, which now effectively undergo nonlocal loss.”