A discrete memory-kernel for multi-time correlations in non-Markovian quantum processes

• URL: http://arxiv.org/abs/2007.03234v2
• Date: Fri, 6 Nov 2020 10:35:40 GMT
• Title: A discrete memory-kernel for multi-time correlations in non-Markovian quantum processes
• Authors: Mathias R. J{\o}rgensen and Felix A. Pollock
• Abstract summary: We show that the transfer-tensor method can be extended to processes which include multiple interrogations. Our approach exploits the process-tensor description of open quantum processes to represent and propagate the dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Efficient simulations of the dynamics of open systems is of wide importance for quantum science and tech-nology. Here, we introduce a generalization of the transfer-tensor, or discrete-time memory kernel, formalism to multi-time measurement scenarios. The transfer-tensor method sets out to compute the state of an open few-body quantum system at long times, given that only short-time system trajectories are available. Here, we showthat the transfer-tensor method can be extended to processes which include multiple interrogations (e.g. measurements) of the open system dynamics as it evolves, allowing us to propagate high order short-time correlation functions to later times, without further recourse to the underlying system-environment evolution. Our approach exploits the process-tensor description of open quantum processes to represent and propagate the dynamics in terms of an object from which any multi-time correlation can be extracted. As an illustration of the utility of the method, we study the build-up of system-environment correlations in the paradigmatic spin-boson model, and compute steady-state emission spectra, taking fully into account system-environment correlations present in the steady state.

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