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v1 (2012-07-09)

v2 (2012-08-16)

Non-equilibrium states of a photon cavity pumped by an atomic beam

Bruno Nachtergaele 1, Anna Vershynina 1, Valentin A. Zagrebnov 2

(2012-07-04)

We consider a beam of two-level randomly excited atoms that pass one-by-one through a one-mode cavity. We show that in the case of an ideal cavity, i.e. no leaking of photons from the cavity, the pumping by the beam leads to an unlimited increase in the photon number in the cavity. We derive an expression for the mean photon number for all times. Taking into account leaking of the cavity, we prove that the mean photon number in the cavity stabilizes in time. The limiting state of the cavity in this case exists and it is independent of the initial state. We calculate the characteristic functional of this non-quasi-free non-equilibrium state. We also calculate the energy flux in both the ideal and open cavity and the entropy production for the ideal cavity.

1:	Departement of Mathematics - UC Davis
	University of California, Davis-Livermore
2:	Centre de Physique Théorique (CPT)
	CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var

Subject

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Mathematics/Mathematical Physics

Keyword(s): non-equilibrium quantum theory – open quantum systems – repeated interactions – time dependent interactions – $W^*$-dynamical systems – entropy production – energy flux – photon cavity

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From: Valentin Zagrebnov <>

Submitted on: Sunday, 8 July 2012 17:23:02

Updated on: Monday, 9 July 2012 08:48:21