Physics – Quantum Physics
Scientific paper
2005-05-16
Phys. Rev. A 72, 053813 (2005)
Physics
Quantum Physics
17 pages, 1 eps figure, typeset using RevTex4; published version
Scientific paper
10.1103/PhysRevA.72.053813
Within the framework of exact quantization of the electromagnetic field in dispersing and absorbing media the input-output problem of a high-$Q$ cavity is studied, with special emphasis on the absorption losses in the coupling mirror. As expected, the cavity modes are found to obey quantum Langevin equations, which could be also obtained from quantum noise theories, by appropriately coupling the cavity modes to dissipative systems, including the effect of the mirror-assisted absorption losses. On the contrary, the operator input-output relations obtained in this way would be incomplete in general, as the exact calculation shows. On the basis of the operator input-output relations the problem of extracting the quantum state of an initially excited cavity mode is studied and input-output relations for the $s$-parameterized phase-space function are derived, with special emphasis on the relation between the Wigner functions of the quantum states of the outgoing field and the cavity field.
Khanbekyan Mikayel
Knoll Ludwig
Semenov Alexander
Vogel Werner
Welsch Dirk-Gunnar
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