Heidelberg 2015 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 15: Poster: Quantum Optics and Photonics I

Q 15.80: Poster

Montag, 23. März 2015, 17:00–19:00, C/Foyer

Elementary analysis of frequency-difference resonances and possible realizations — •Enno Giese1, William B. Case1,2, Karl Vogel1, Wolfgang P. Schleich1,4, Manfred Kleber3, Marlan O. Scully4, and Roy J. Glauber5,41Institut für Quantenphysik and Center for Integrated Quantum Science and Technology, U Ulm — 2Department of Physics, Grinell College, Grinell, USA — 3Physik Department T30, TU München — 4Institute for Quantum Science and Engerneering, Texas A&M Univ., College Station, USA — 5Lyman Laboratory, Harvard Univ., Cambridge, USA

It is well known from nonlinear optics that a strong drive field may create two fields whose frequencies add up to the drive frequency. We refer to this phenomenon as as frequency-sum resonance. It can be understood in terms of intuitive energy conservation.

On the other hand, a frequency-difference resonance where the drive frequency is the difference of two the frequencies of the generated fields is much more counterintuitive. A physical realization of such a resonance could open a field to novel light sources. In our work we present a simple analytic model in which frequency-difference resonances occur. It is a conventional oscillator coupled to an oscillator with inverted energy spectrum, that is, with negative kinetic and negative potential energy. In this case, we find exponential gain for both oscillators if the resonance condition is fulfilled, i. e. the amplitudes of both oscillators increase simultaneously. Moreover, we discuss examples of physical systems where one of the oscillators can be interpreted as an inverted one, although only in a limited range of validity.

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