Possible Minkowskian Language in Two-level Systems

Details Possible Minkowskian Language in Two-level Systems Possible Minkowskian Language in Two-level Systems

2008-11-06

arxiv.org/abs/0811.0970v1

Physics

Mathematical Physics

based on an invited talk presented at the 12th International Conference on Quantum Optics and Quantum Information (Vilnius, Li

Scientific paper

One hundred years ago, in 1908, Hermann Minkowski completed his proof that Maxwell's equations are covariant under Lorentz transformations. During this process, he introduced a four-dimensional space called the Minkowskian space. In 1949, P. A. M. Dirac showed the Minkowskian space can be handled with the light-cone coordinate system with squeeze transformations. While the squeeze is one of the fundamental mathematical operations in optical sciences, it could serve useful purposes in two-level systems. Some possibilities are considered in this report. It is shown possible to cross the light-cone boundary in optical and two-level systems while it is not possible in Einstein's theory of relativity.

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