Exact master equations for the non-Markovian decay of a qubit

doi:https://doi.org/10.1103/PHYSREVA.81.042103

Title: Exact master equations for the non-Markovian decay of a qubit

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Abstract

Exact master equations describing the decay of a two-state system into a structured reservoir are constructed. By employing the exact solution for the model, analytical expressions are determined for the memory kernel of the Nakajima-Zwanzig master equation and for the generator of the corresponding time-convolutionless master equation. This approach allows an explicit comparison of the convergence behavior of the corresponding perturbation expansions. Moreover, the structure of widely used phenomenological master equations with a memory kernel may be incompatible with a nonperturbative treatment of the underlying microscopic model. Several physical implications of the results on the microscopic analysis and the phenomenological modeling of non-Markovian quantum dynamics of open systems are discussed.

Authors:

Vacchini, Bassano ^[1]; Breuer, Heinz-Peter ^[2]

Universita degli Studi di Milano, Dipartimento di Fisica, Via Celoria 16, I-20133 Milano (Italy)
Physikalisches Institut, Universitaet Freiburg, Hermann-Herder Strasse 3, D-79104 Freiburg (Germany)

Publication Date:: 2010-04-15

OSTI Identifier:: 21413320

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.81.042103; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CONVERGENCE; DECAY; EQUATIONS; EXACT SOLUTIONS; KERNELS; MARKOV PROCESS; PERTURBATION THEORY; SIMULATION; EVALUATION; MATHEMATICAL SOLUTIONS; STOCHASTIC PROCESSES

Citation Formats


                    Vacchini, Bassano, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milano, and Breuer, Heinz-Peter. Exact master equations for the non-Markovian decay of a qubit.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.042103.

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                    Vacchini, Bassano, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milano, & Breuer, Heinz-Peter. Exact master equations for the non-Markovian decay of a qubit.  United States.  https://doi.org/10.1103/PHYSREVA.81.042103

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                    Vacchini, Bassano, Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milano, and Breuer, Heinz-Peter. Thu .  
        "Exact master equations for the non-Markovian decay of a qubit".  United States.  https://doi.org/10.1103/PHYSREVA.81.042103.

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@article{osti_21413320,

  title        = {Exact master equations for the non-Markovian decay of a qubit},

  author       = {Vacchini, Bassano and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, I-20133 Milano and Breuer, Heinz-Peter},

  abstractNote = {Exact master equations describing the decay of a two-state system into a structured reservoir are constructed. By employing the exact solution for the model, analytical expressions are determined for the memory kernel of the Nakajima-Zwanzig master equation and for the generator of the corresponding time-convolutionless master equation. This approach allows an explicit comparison of the convergence behavior of the corresponding perturbation expansions. Moreover, the structure of widely used phenomenological master equations with a memory kernel may be incompatible with a nonperturbative treatment of the underlying microscopic model. Several physical implications of the results on the microscopic analysis and the phenomenological modeling of non-Markovian quantum dynamics of open systems are discussed.},

  doi          = {10.1103/PHYSREVA.81.042103},

  url          = {https://www.osti.gov/biblio/21413320},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 4,

  volume       = 81,

  place        = {United States},

  year         = {2010},

  month        = {4}

}

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https://doi.org/10.1103/PHYSREVA.81.042103

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