Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)]

Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys.... PHYSICAL REVIEW A 95, 069908(E) (2017) Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)] L. Ferialdi (Received 16 June 2017; published 30 June 2017) DOI: 10.1103/PhysRevA.95.069908 In our paper, we have derived a master equation for two-level systems interacting with a bosonic bath. Such a master equation was claimed exact but, as we will show in this Erratum, this is not the case. We start by correcting a typo in Eq. (11), that however does not play a role in the following considerations. In particular, different σ ˆ ’s acting on the same side of ρ ˆ satisfy the standard anticommutation rules, and Eq. (11) should read {σ ˆ ,σ ˆ } = {σ ˆ ,σ ˆ } = 2I. (11) L L R R The main result was derived starting from the most general completely positive, trace preserving, Gaussian, non-Markovian map [1], t t j j j k k k ˆ ˆ ˆ ˆ ˆ ˆ M = T exp dτ ds D (τ,s) A (s)A (τ ) − θ A (τ )A (s) − θ A (s)A (τ ) , (E1) t D jk τs sτ L R http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)]

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Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)]

Abstract

PHYSICAL REVIEW A 95, 069908(E) (2017) Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)] L. Ferialdi (Received 16 June 2017; published 30 June 2017) DOI: 10.1103/PhysRevA.95.069908 In our paper, we have derived a master equation for two-level systems interacting with a bosonic bath. Such a master equation was claimed exact but, as we will show in this Erratum, this is not the case. We start by correcting a typo in Eq. (11), that however does not play a role in the following considerations. In particular, different σ ˆ ’s acting on the same side of ρ ˆ satisfy the standard anticommutation rules, and Eq. (11) should read {σ ˆ ,σ ˆ } = {σ ˆ ,σ ˆ } = 2I. (11) L L R R The main result was derived starting from the most general completely positive, trace preserving, Gaussian, non-Markovian map [1], t t j j j k k k ˆ ˆ ˆ ˆ ˆ ˆ M = T exp dτ ds D (τ,s) A (s)A (τ ) − θ A (τ )A (s) − θ A (s)A (τ ) , (E1) t D jk τs sτ L R
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Publisher
The American Physical Society
Copyright
Copyright © ©2017 American Physical Society
ISSN
1050-2947
eISSN
1094-1622
D.O.I.
10.1103/PhysRevA.95.069908
Publisher site
See Article on Publisher Site

Abstract

PHYSICAL REVIEW A 95, 069908(E) (2017) Erratum: Exact non-Markovian master equation for the spin-boson and Jaynes-Cummings models [Phys. Rev. A 95, 020101(R) (2017)] L. Ferialdi (Received 16 June 2017; published 30 June 2017) DOI: 10.1103/PhysRevA.95.069908 In our paper, we have derived a master equation for two-level systems interacting with a bosonic bath. Such a master equation was claimed exact but, as we will show in this Erratum, this is not the case. We start by correcting a typo in Eq. (11), that however does not play a role in the following considerations. In particular, different σ ˆ ’s acting on the same side of ρ ˆ satisfy the standard anticommutation rules, and Eq. (11) should read {σ ˆ ,σ ˆ } = {σ ˆ ,σ ˆ } = 2I. (11) L L R R The main result was derived starting from the most general completely positive, trace preserving, Gaussian, non-Markovian map [1], t t j j j k k k ˆ ˆ ˆ ˆ ˆ ˆ M = T exp dτ ds D (τ,s) A (s)A (τ ) − θ A (τ )A (s) − θ A (s)A (τ ) , (E1) t D jk τs sτ L R

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jun 30, 2017

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