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Quantum Non-Markovian Collision Models from Colored-Noise Baths

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Advances in Open Systems and Fundamental Tests of Quantum Mechanics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 237))

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Abstract

A quantum collision model (CM),  also known as repeated interactions model,  can be built from the standard microscopic framework where a system S is coupled to a white-noise bosonic bath under the rotating wave approximation, which typically results in Markovian dynamics. Here, we discuss how to generalize the CM construction to the case of frequency-dependent system–bath coupling, which defines a class of colored-noise baths. This leads to an intrinsically non-Markovian CM, where each ancilla (bath subunit) collides repeatedly with S at different steps. We discuss the illustrative example of an atom in front of a mirror in the regime of non-negligible retardation times.

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Acknowledgements

Fruitful discussions with Susana Huelga, Kimmo Luoma, Gonzalo Manzano, Salvatore Lorenzo, and Tommaso Tufarelli are gratefully acknowledged.

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Authors and Affiliations

  1. Dipartimento di Fisica e Chimica – Emilio Segré, Università degli Studi di Palermo, via Archirafi 36, I-90123, Palermo, Italy

    Dario Cilluffo & Francesco Ciccarello

  2. NEST, Istituto Nanoscienze-CNR, Piazza S. Silvestro 12, 56127, Pisa, Italy

    Dario Cilluffo & Francesco Ciccarello

Authors
  1. Dario Cilluffo
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  2. Francesco Ciccarello
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Corresponding author

Correspondence to Francesco Ciccarello .

Editor information

Editors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, Milan, Italy

    Bassano Vacchini

  2. Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Baden-Württemberg, Germany

    Heinz-Peter Breuer

  3. Department of Physics, University of Trieste, Trieste, Italy

    Angelo Bassi

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Cilluffo, D., Ciccarello, F. (2019). Quantum Non-Markovian Collision Models from Colored-Noise Baths. In: Vacchini, B., Breuer, HP., Bassi, A. (eds) Advances in Open Systems and Fundamental Tests of Quantum Mechanics. Springer Proceedings in Physics, vol 237. Springer, Cham. https://doi.org/10.1007/978-3-030-31146-9_3

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