Decoherence suppression by cavity optomechanical cooling

Eyal Buks

doi:10.1016/j.crhy.2012.01.004

Decoherence suppression by cavity optomechanical cooling
[Suppression de la décohérence par refroidissement optomécanique par cavité]

Eyal Buks ¹

¹ Department of Electrical Engineering, Technion, Haifa 32000, Israel

Comptes Rendus. Physique, Volume 13 (2012) no. 5, pp. 454-469.

Résumé
Abstract

Nous considérons une configuration de refroidissement optomécanique par cavité constituée par un résonateur mécanique (désigné par b) et un résonateur mécanique (désigné par a) couplés de façon que la fréquence effective de résonance du résonateur a dépend linéairement du déplacement du résonateur b. Nous étudions si la rétroaction peut être appliquée efficacement à la suppression de la décohérence dans une telle configuration. Dans ce but nous considérons le cas où le résonateur mécanique est préparé dans une superposition de deux états cohérents et nous évaluons le taux de décohérence. Nous trouvons que la décohérence ne diminue pas de façon significative si le résonateur a est supposé avoir une réponse linéaire. Dʼautre part, si le résonateur a présente un non-linéarité de Kerr, et/ou un amortissement non linéaire, le taux de décohérence peut devenir bien plus bas que la valeur dʼéquilibre, pourvu que les paramètres qui caractérisent ces non-linéarités puissent être proches de certaines valeurs optimales précises.

We consider a cavity optomechanical cooling configuration consisting of a mechanical resonator (denoted as resonator b) and an electromagnetic resonator (denoted as resonator a), which are coupled in such a way that the effective resonance frequency of resonator a depends linearly on the displacement of resonator b. We study whether back-reaction effects in such a configuration can be efficiently employed for suppression of decoherence. To that end, we consider the case where the mechanical resonator is prepared in a superposition of two coherent states and evaluate the rate of decoherence. We find that no significant suppression of decoherence is achievable when resonator a is assumed to have a linear response. On the other hand, when resonator a exhibits Kerr nonlinearity and/or nonlinear damping the decoherence rate can be made much smaller than the equilibrium value provided that the parameters that characterize these nonlinearities can be tuned close to some specified optimum values.

Publié le : 2012-03-28

DOI : 10.1016/j.crhy.2012.01.004

Keywords: Cavity optomechanical cooling, Decoherence suppression, Mechanical resonator
Mot clés : Refroidissement optomécanique par cavité, Suppression de la décohérence, Résonateur mécanique

Affiliations des auteurs :

Eyal Buks ¹

¹ Department of Electrical Engineering, Technion, Haifa 32000, Israel

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Eyal Buks. Decoherence suppression by cavity optomechanical cooling. Comptes Rendus. Physique, Volume 13 (2012) no. 5, pp. 454-469. doi : 10.1016/j.crhy.2012.01.004. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2012.01.004/

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