Effective operator formalism for open quantum systems

Florentin Reiter; Anders Søndberg Sørensen

doi:10.1103/PhysRevA.85.032111

Effective operator formalism for open quantum systems

Florentin Reiter, Anders Søndberg Sørensen

Kvanteoptik

140 Citationer (Scopus)

Abstract

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to the ground-state dynamics. The effective evolution involves a single effective Hamiltonian and one effective Lindblad operator for each naturally occurring decay process. Simple expressions are derived for the effective operators which can be directly applied to reach effective equations of motion for the ground states. We compare our method with the hitherto existing concepts for effective interactions and present physical examples for the application of our formalism, including dissipative state preparation by engineered decay processes.

Originalsprog	Engelsk
Tidsskrift	Physical Review A (Atomic, Molecular and Optical Physics)
Vol/bind	85
Udgave nummer	3
Sider (fra-til)	032111
Antal sider	11
ISSN	2469-9926
DOI	https://doi.org/10.1103/PhysRevA.85.032111
Status	Udgivet - 9 mar. 2012

Adgang til dokumentet

10.1103/PhysRevA.85.032111

http://link.aps.org/doi/10.1103/PhysRevA.85.032111

Citationsformater

@article{6ac2b49082664ddf9ba8eceee8473799,

title = "Effective operator formalism for open quantum systems",

abstract = "We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to the ground-state dynamics. The effective evolution involves a single effective Hamiltonian and one effective Lindblad operator for each naturally occurring decay process. Simple expressions are derived for the effective operators which can be directly applied to reach effective equations of motion for the ground states. We compare our method with the hitherto existing concepts for effective interactions and present physical examples for the application of our formalism, including dissipative state preparation by engineered decay processes.",

author = "Florentin Reiter and S{\o}rensen, {Anders S{\o}ndberg}",

year = "2012",

month = mar,

day = "9",

doi = "10.1103/PhysRevA.85.032111",

language = "English",

volume = "85",

pages = "032111",

journal = "Physical Review A (Atomic, Molecular and Optical Physics)",

issn = "2469-9926",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Effective operator formalism for open quantum systems

AU - Reiter, Florentin

AU - Sørensen, Anders Søndberg

PY - 2012/3/9

Y1 - 2012/3/9

N2 - We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to the ground-state dynamics. The effective evolution involves a single effective Hamiltonian and one effective Lindblad operator for each naturally occurring decay process. Simple expressions are derived for the effective operators which can be directly applied to reach effective equations of motion for the ground states. We compare our method with the hitherto existing concepts for effective interactions and present physical examples for the application of our formalism, including dissipative state preparation by engineered decay processes.

AB - We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to the ground-state dynamics. The effective evolution involves a single effective Hamiltonian and one effective Lindblad operator for each naturally occurring decay process. Simple expressions are derived for the effective operators which can be directly applied to reach effective equations of motion for the ground states. We compare our method with the hitherto existing concepts for effective interactions and present physical examples for the application of our formalism, including dissipative state preparation by engineered decay processes.

U2 - 10.1103/PhysRevA.85.032111

DO - 10.1103/PhysRevA.85.032111

M3 - Journal article

SN - 2469-9926

VL - 85

SP - 032111

JO - Physical Review A (Atomic, Molecular and Optical Physics)

JF - Physical Review A (Atomic, Molecular and Optical Physics)

IS - 3

ER -

Effective operator formalism for open quantum systems

Abstract

Adgang til dokumentet

Fingeraftryk

Citationsformater