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Timescales in Quantum Open Systems: Dynamics of Time Correlation Functions and Stochastic Quantum Trajectory Methods in Non-Markovian Systems

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Time in Quantum Mechanics - Vol. 2

Part of the book series: Lecture Notes in Physics ((LNP,volume 789))

Abstract

The dynamics of a system in interaction with another system, the later considered as a reservoir, is studied in many different domains in physics. This approach is useful not only to address fundamental questions like quantum decoherence decoherence and the measurement problem [1] but also to deal with practical and theoretical problems appearing in the emerging fields of nanotechnology nanotechnology [2, 3] and quantum computing quantum computing as well as in systems of ultracold atoms [7]. In many of these cases, the basic approximation is the Markov assumption in which there is a clear separation of the typical timescales associated with the system and the reservoir or environment. This separation of timescales, together with other assumptions like the weak coupling between the system and the reservoir, has been central in the development of several fields, in particular in quantum optics [8, 9]. However, in

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Acknowledgement

We would like to thank J.G. Muga for his kind invitation to contribute to this volume and its invaluable support. We thank H. Carmichael, G.C. Hegerfeldt, A. Ruíz, and L.S. Schulman for their comments at different stages of this work and G. Nicolis, P. Gaspard, J.I. Cirac, and W.T. Strunz for support and encouragement. This work has been supported by Ministerio de Ciencia y Tecnología of Spain (FIS2007-64018) and by the EU projects CONQUEST and SCALA.

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Authors and Affiliations

  1. Departamento de Física Fundamentaly Experimental, Electrónica y Sistemas, Instituto Universitario de Estudios Avanzados (IUDEA) en Fí sicaAtómica, Molecular y Fotónica, Universidad de La Laguna, 38203, La Laguna, Tenerife, Spain

    Daniel Alonso

  2. Max Planck Institute of Quantum Optics, 85748, Garching, Germany

    Inés de Vega

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  1. Daniel Alonso
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Correspondence to Daniel Alonso .

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Editors and Affiliations

  1. Depto. Quimica Fisica EHU, Universidad Pais Vasco, Apartado 644, Bilbao, 48080, Spain

    Gonzalo Muga

  2. Inst. Mathematische Physik, TU Braunschweig, Mendelssohnstr. 3, Braunschweig, 38106, Germany

    Andreas Ruschhaupt

  3. Inst. Mathematical Sciences, Imperial College London, Prince's Gate 53, London, SW7 2PG, UK

    Adolfo del Campo

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Alonso, D., de Vega, I. (2009). Timescales in Quantum Open Systems: Dynamics of Time Correlation Functions and Stochastic Quantum Trajectory Methods in Non-Markovian Systems. In: Muga, G., Ruschhaupt, A., del Campo, A. (eds) Time in Quantum Mechanics - Vol. 2. Lecture Notes in Physics, vol 789. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03174-8_10

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  • DOI: https://doi.org/10.1007/978-3-642-03174-8_10

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