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Efficient simulation of non-Markovian system-environment interaction

arXiv
Authors: Robert Rosenbach, Javier Cerrillo, Susana F. Huelga, Jianshu Cao, Martin Bodo Plenio

Year

2015

Paper ID

26764

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

In this work, we combine an established method for open quantum systems - the time evolving density matrix using orthogonal polynomials algorithm (TEDOPA) - with the transfer tensors formalism (TTM), a new tool for the analysis, compression and propagation of non-Markovian processes. This enables the investigation of previously inaccessible long-time dynamics, such as those ensuing from low temperature regimes with arbitrary, possibly highly structured, spectral densities. We briefly introduce both methods, followed by a benchmark to prove viability and combination synergies. Subsequently we illustrate the capabilities of this approach at the hand of specific examples and conclude our analysis by highlighting possible further applications of our method.

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  • In this work, we combine an established method for open quantum systems - the time evolving density matrix using orthogonal polynomials algorithm (TEDOPA) - with the transfer...

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