Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations

• URL: http://arxiv.org/abs/2402.12445v2
• Date: Wed, 12 Jun 2024 13:05:18 GMT
• Title: Generalized Rate Operator Quantum Jumps via Realization-Dependent Transformations
• Authors: Federico Settimo, Kimmo Luoma, Dariusz Chruściński, Bassano Vacchini, Andrea Smirne, Jyrki Piilo,
• Abstract summary: We focus on quantum jump descriptions based on the rate operator formalism. We introduce state-dependent rate operator transformations within the framework of pure state realizations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dynamics of open quantum systems is often solved by stochastic unravellings where the average over the state vector realizations reproduces the density matrix evolution. We focus on quantum jump descriptions based on the rate operator formalism. In addition to displaying and exploiting different equivalent ways of writing the master equation, we introduce state-dependent rate operator transformations within the framework of stochastic pure state realizations, allowing us to extend and generalize the previously developed formalism. As a consequence, this improves the controllability of the stochastic realizations and subsequently greatly benefits when searching for optimal simulation schemes to solve open system dynamics. At a fundamental level, intriguingly, our results show that it is possible to have positive unravellings -- without reverse quantum jumps and avoiding the use of auxiliary degrees freedom -- in a number of example cases even when the corresponding dynamical map breaks the property of P-divisibility, thus being in the strongly non-Markovian regime.

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