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)]

Preview Only

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
Loading next page...
 
/lp/aps_physical/erratum-exact-non-markovian-master-equation-for-the-spin-boson-and-G885KzuAq3
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

There are no references for this article.

Sorry, we don’t have permission to share this article on DeepDyve,
but here are related articles that you can start reading right now:

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off