Adiabatic elimination and subspace evolution of open quantum systems
(2020) In Physical Review A 101(4).- Abstract
Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non-trace-preserving character of the evolution. We illustrate our results with two different systems, one where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we show that the two models converge for very large... (More)
Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non-trace-preserving character of the evolution. We illustrate our results with two different systems, one where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we show that the two models converge for very large dissipation and at coherent population trapping points. Our results also provide an intuitive picture of the correction to the trace of the density matrix as a detailed balance equation.
(Less)
- author
- Finkelstein-Shapiro, Daniel LU ; Viennot, David ; Saideh, Ibrahim ; Hansen, Thorsten LU ; Pullerits, Tõnu LU and Keller, Arne
- organization
- publishing date
- 2020-04-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review A
- volume
- 101
- issue
- 4
- article number
- 042102
- publisher
- American Physical Society
- external identifiers
-
- scopus:85084927798
- ISSN
- 2469-9926
- DOI
- 10.1103/PhysRevA.101.042102
- language
- English
- LU publication?
- yes
- id
- 02559139-9c06-48ca-aaf2-8d1895175b67
- date added to LUP
- 2020-06-24 14:36:46
- date last changed
- 2023-11-20 06:55:00
@article{02559139-9c06-48ca-aaf2-8d1895175b67,
abstract = {{<p>Efficient descriptions of open quantum systems can be obtained by performing an adiabatic elimination of the fast degrees of freedom and formulating effective operators for the slow degrees of freedom in reduced dimensions. Here, we perform the construction of effective operators in frequency space, and using the final value theorem or alternatively the Keldysh theorem, we provide a correction for the trace of the density matrix which takes into account the non-trace-preserving character of the evolution. We illustrate our results with two different systems, one where the eliminated fast subspace is constituted by a continuous set of states and ones with discrete states. Furthermore, we show that the two models converge for very large dissipation and at coherent population trapping points. Our results also provide an intuitive picture of the correction to the trace of the density matrix as a detailed balance equation.</p>}},
author = {{Finkelstein-Shapiro, Daniel and Viennot, David and Saideh, Ibrahim and Hansen, Thorsten and Pullerits, Tõnu and Keller, Arne}},
issn = {{2469-9926}},
language = {{eng}},
month = {{04}},
number = {{4}},
publisher = {{American Physical Society}},
series = {{Physical Review A}},
title = {{Adiabatic elimination and subspace evolution of open quantum systems}},
url = {{http://dx.doi.org/10.1103/PhysRevA.101.042102}},
doi = {{10.1103/PhysRevA.101.042102}},
volume = {{101}},
year = {{2020}},
}