Nonlinear Scattering Matrix in Quantum Optics

Dmitry Makarov (), Eugeny Gusarevich and Ksenia Makarova
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Dmitry Makarov: Higher School of Natural Sciences and Technologies, Northern (Arctic) Federal University, Severnaya Dvina Emb. 17, 163002 Arkhangelsk, Russia
Eugeny Gusarevich: Higher School of Natural Sciences and Technologies, Northern (Arctic) Federal University, Severnaya Dvina Emb. 17, 163002 Arkhangelsk, Russia
Ksenia Makarova: Higher School of Natural Sciences and Technologies, Northern (Arctic) Federal University, Severnaya Dvina Emb. 17, 163002 Arkhangelsk, Russia

Mathematics, 2023, vol. 11, issue 22, 1-9

Abstract: It is well known that the scattering matrix plays an important role in quantum optics. This matrix converts the incoming characteristics of scattered radiation into output characteristics. Currently, only special cases of such a scattering matrix are known, which are determined by a specific problem. In this work, a general form of the scattering matrix is obtained, which can be applied to a wide range of problems. It is shown that previously well-known and widely used scattering matrices can be obtained from the resulting scattering matrix. The results obtained can be used to describe new quantum states, the scattering matrices of which have not yet been studied.

Keywords: scattering matrix; nonlinear scattering matrix; beam splitter; squeezed states; quantum states (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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