Markovian approximation for Pauli Fierz operators
Laurent Amour, Jean Nourrigat
TL;DR
This paper develops a Markovian approximation for the dynamics of Pauli-Fierz Hamiltonians, providing error estimates and analyzing the associated quantum master equation and transition probabilities.
Contribution
It introduces a Lindblad operator framework for the Pauli-Fierz model, enabling precise error control in the Markovian approximation of quantum dynamics.
Findings
Derived a Lindblad operator for the quantum master equation
Provided error bounds for the Markovian approximation
Analyzed transition probability matrices in specific cases
Abstract
The purpose of this article is to derive a Markovian approximation of the reduced time dynamics of observables for the Pauli-Fierz Hamiltonian with a precise control of the error terms. In that aim, we define a Lindblad operator associated to the corresponding quantum master equation. In a particular case, this allows to study the transition probability matrix.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Random Matrices and Applications · Matrix Theory and Algorithms