Quadratic Models for Engineered Control of Open Quantum Systems

• URL: http://arxiv.org/abs/2012.04083v1
• Date: Mon, 7 Dec 2020 22:03:31 GMT
• Title: Quadratic Models for Engineered Control of Open Quantum Systems
• Authors: J. P. P. Vieira, A. Lazarides, T. Ala-Nissila
• Abstract summary: We introduce a framework to model the evolution of a class of open quantum systems whose environments periodically undergo an instantaneous non-unitary evolution stage. We show how this approach can generalise the formalism of repeated interactions to allow for the preservation of system-environment correlations. Its continuous zero-period limit provides a natural description of the evolution of small systems coupled to large environments in negligibly steady states.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a framework to model the evolution of a class of open quantum systems whose environments periodically undergo an instantaneous non-unitary evolution stage. For the special case of quadratic models, we show how this approach can generalise the formalism of repeated interactions to allow for the preservation of system-environment correlations. Furthermore, its continuous zero-period limit provides a natural description of the evolution of small systems coupled to large environments in negligibly perturbed steady states. We explore the advantages and limitations of this approach in illustrative applications to thermalisation in a simple hopping ring and to the problem of initialising a qubit chain via environmental engineering.

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