Second-quantization of open systems using quasinormal modes

Details Second-quantization of open systems using quasinormal modes Second-quantization of open systems using quasinormal modes

1998-03-05

arxiv.org/abs/quant-ph/9803014v1

Phys.Rev. E58 (1998) 2965-2978

Physics

Quantum Physics

26 p., 2 figs, REVTeX 3.0 with LaTeX 2.09, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.58.2965

The second-quantization of a scalar field in an open cavity is formulated, from first principles, in terms of the quasinormal modes (QNMs), which are the eigensolutions of the evolution equation that decay exponentially in time as energy leaks to the outside. This formulation provides a description involving the cavity degrees of freedom only, with the outside acting as a (thermal or driven) source. Thermal correlation functions and cavity Feynman propagators are thus expressed in terms of the QNMs, labeled by a discrete index rather than a continuous momentum. Single-resonance domination of the density of states and the spontaneous decay rate is then given a proper foundation. This is a first essential step towards the application of QNMs to cavity QED phenomena, to be reported elsewhere.

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