Connecting two jumplike unravelings for non-Markovian open quantum systems

Luoma, Kimmo; Suominen, Kalle-Antti; Piilo, Jyrki

doi:10.1103/PHYSREVA.84.032113

Title: Connecting two jumplike unravelings for non-Markovian open quantum systems

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Abstract

The development and use of Monte Carlo algorithms plays a visible role in the study of non-Markovian quantum dynamics due to the provided insight and powerful numerical methods for solving the system dynamics. In the Markovian case, the connections between the various types of methods are fairly well understood while, for the non-Markovian case, there has so far been only a few studies. We focus here on two jumplike unravelings of non-Markovian dynamics: the non-Markovian quantum jump (NMQJ) method and the property state method by Gambetta, Askerud, and Wiseman (GAW). The results for simple quantum optical systems illustrate the connections between the realizations of the two methods and also highlight how the probability currents between the system and environment, or between the property states of the total system, are associated with the decay rates of time-local master equations and, consequently, with the jump rates of the NMQJ method.

Authors:

Luoma, Kimmo; Suominen, Kalle-Antti; Piilo, Jyrki ^[1]

Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku, FI-20014 Turun Yliopisto (Finland)

Publication Date:: Thu Sep 15 00:00:00 EDT 2011

OSTI Identifier:: 22068635

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ALGORITHMS; CURRENTS; DECAY; MARKOV PROCESS; MONTE CARLO METHOD; OPTICAL SYSTEMS; PROBABILITY; QUANTUM MECHANICS

Citation Formats


                    Luoma, Kimmo, Suominen, Kalle-Antti, and Piilo, Jyrki. Connecting two jumplike unravelings for non-Markovian open quantum systems.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVA.84.032113.

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                    Luoma, Kimmo, Suominen, Kalle-Antti, & Piilo, Jyrki. Connecting two jumplike unravelings for non-Markovian open quantum systems.  United States.  https://doi.org/10.1103/PHYSREVA.84.032113

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                    Luoma, Kimmo, Suominen, Kalle-Antti, and Piilo, Jyrki. 2011.  
        "Connecting two jumplike unravelings for non-Markovian open quantum systems".  United States.  https://doi.org/10.1103/PHYSREVA.84.032113.

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@article{osti_22068635,

  title        = {Connecting two jumplike unravelings for non-Markovian open quantum systems},

  author       = {Luoma, Kimmo and Suominen, Kalle-Antti and Piilo, Jyrki},

  abstractNote = {The development and use of Monte Carlo algorithms plays a visible role in the study of non-Markovian quantum dynamics due to the provided insight and powerful numerical methods for solving the system dynamics. In the Markovian case, the connections between the various types of methods are fairly well understood while, for the non-Markovian case, there has so far been only a few studies. We focus here on two jumplike unravelings of non-Markovian dynamics: the non-Markovian quantum jump (NMQJ) method and the property state method by Gambetta, Askerud, and Wiseman (GAW). The results for simple quantum optical systems illustrate the connections between the realizations of the two methods and also highlight how the probability currents between the system and environment, or between the property states of the total system, are associated with the decay rates of time-local master equations and, consequently, with the jump rates of the NMQJ method.},

  doi          = {10.1103/PHYSREVA.84.032113},

  url          = {https://www.osti.gov/biblio/22068635},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 3,

  volume       = 84,

  place        = {United States},

  year         = {Thu Sep 15 00:00:00 EDT 2011},

  month        = {Thu Sep 15 00:00:00 EDT 2011}

}

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