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Open-system effects on slow light and electromagnetically induced transparency
KTH, School of Information and Communication Technology (ICT), Optics and Photonics, Photonics.
KTH, School of Information and Communication Technology (ICT), Optics and Photonics, Photonics.
2011 (English)In: Journal of Physics B: Atomic, Molecular and Optical Physics, ISSN 0953-4075, E-ISSN 1361-6455, Vol. 44, no 13, 135501- p.Article in journal (Refereed) Published
Abstract [en]

The coherence properties of a three-level Lambda-system influenced by a Markovian environment are analysed. A coherence vector formalism is used and a vector form of the Lindblad equation is derived. Together with decay channels from the upper state, open-system channels acting on the subspace of the two lower states are investigated, i.e. depolarization, dephasing and amplitude damping channels. We derive an analytic expression for the coherence vector and the concomitant optical susceptibility, and analyse how the different channels influence the optical response. This response depends non-trivially on the type of open-system interaction present, and even gain can be obtained. We also present a geometrical visualization of the coherence vector as an aid to understand the system response.

Place, publisher, year, edition, pages
2011. Vol. 44, no 13, 135501- p.
Keyword [en]
N-LEVEL SYSTEMS, DYNAMICAL SEMIGROUPS, COHERENCE, SPECTROSCOPY, STATES, MEDIA
National Category
Telecommunications
Identifiers
URN: urn:nbn:se:kth:diva-24065DOI: 10.1088/0953-4075/44/13/135501ISI: 000291870800013Scopus ID: 2-s2.0-79959799775OAI: oai:DiVA.org:kth-24065DiVA: diva2:343101
Funder
Swedish Research Council
Note
QC 20100812 Updated from submitted to publishedAvailable from: 2010-08-12 Created: 2010-08-12 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Slow and stopped light by light-matter coherence control
Open this publication in new window or tab >>Slow and stopped light by light-matter coherence control
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis we study light-matter coherence phenomena related to the interaction of a coherent laser field and the so-called Λ-system, a three-level quantum system (e.g., an atom). We observe electromagnetically induced transparency (EIT), slow and stored light in hot rubidium vapor. For example, a 6 μs Gaussian pulse propagate at a velocity of ~1 km/s (to be compared with the normal velocity of 300 000 km/s). Dynamic changes of the control parameter allows us to slow down a pulse to a complete stop, store it for ~100 μs, and then release it. During the storage time, and also during the release process, some properties of the light pulse can be changed, e.g., frequency chirping of the pulse is obtained by means of Zeeman shifting the energy levels of the Λ-system. If, bichromatic continuous light fields are applied we observe overtone generation in the beating signal, and a narrow `dip' in overtone generation efficiency on two-photon resonance, narrower than the `coherent population trapping' transparency. The observed light-matter coherence phenomena are explained theoretically from first principles, using the Lindblad master equation, in conjunction with the Maxwell's equations. Furthermore, we analyze an optical delay-line based on EIT and show that there is in principle (besides decoherence) no fundamental limitation, but the usefulness today is scant. The combination of EIT and a photonic crystal cavity is inquired into, and we show that the quality value of a small resonator (area of 2.5λ×2.5λ with a missing central rod) can be enhanced by a factor of 500 due to the increased modal density close to two-photon resonance. Open system effects (decoherence effects) are thoroughly investigated using a coherence vector formalism, furthermore, a vector form of the Lindblad equation is derived. Specifically we find an open system channel that lead to slow light and gain.

Place, publisher, year, edition, pages
Stockholm: KTH, 2009. xii, 105 p.
Series
Trita-ICT/MAP AVH, ISSN 1653-7610 ; 2009:09
Keyword
slow light, stored light, stopped light, light-matter coherence, electromagnetically induced transparency, rubidium atoms
National Category
Physical Sciences Telecommunications
Identifiers
urn:nbn:se:kth:diva-11212 (URN)978-91-7415-429-0 (ISBN)
Public defence
2009-10-29, C1, Electrum, Isafjordsgatan 22, Kista, 13:15 (English)
Opponent
Supervisors
Note
QC 20100812Available from: 2009-10-07 Created: 2009-10-06 Last updated: 2012-03-27Bibliographically approved

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