Nonlinear Fano interferences in open quantum systems

An exactly solvable model

Daniel Finkelstein-Shapiro, Monica Calatayud, Osman Atabek, Vladimiro Mujica, Arne Keller

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We obtain an explicit solution for the stationary-state populations of a dissipative Fano model, where a discrete excited state is coupled to a continuum set of states; both excited sets of states are reachable by photoexcitation from the ground state. The dissipative dynamic is described by a Liouville equation in Lindblad form and the field intensity can take arbitrary values within the model. We show that the population of the continuum states as a function of laser frequency can always be expressed as a Fano profile plus a Lorentzian function with effective parameters whose explicit expressions are given in the case of a closed system coupled to a bath as well as for the original Fano scattering framework. Although the solution is intricate, it can be elegantly expressed as a linear transformation of the kernel of a 4×4 matrix which has the meaning of an effective Liouvillian. We unveil key notable processes related to the optical nonlinearity and which had not been reported to date: electromagnetic-induced transparency, population inversions, power narrowing and broadening, as well as an effective reduction of the Fano asymmetry parameter.

Original languageEnglish
Article number063414
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume93
Issue number6
DOIs
Publication statusPublished - Jun 16 2016

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continuums
interference
linear transformations
Liouville equations
population inversion
photoexcitation
baths
nonlinearity
asymmetry
electromagnetism
ground state
matrices
profiles
scattering
excitation
lasers

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Nonlinear Fano interferences in open quantum systems : An exactly solvable model. / Finkelstein-Shapiro, Daniel; Calatayud, Monica; Atabek, Osman; Mujica, Vladimiro; Keller, Arne.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 93, No. 6, 063414, 16.06.2016.

Research output: Contribution to journalArticle

Finkelstein-Shapiro, Daniel ; Calatayud, Monica ; Atabek, Osman ; Mujica, Vladimiro ; Keller, Arne. / Nonlinear Fano interferences in open quantum systems : An exactly solvable model. In: Physical Review A - Atomic, Molecular, and Optical Physics. 2016 ; Vol. 93, No. 6.
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