Possible Minkowskian Language in Two-level Systems
Abstract
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.
Keywords
Cite
@article{arxiv.0811.0970,
title = {Possible Minkowskian Language in Two-level Systems},
author = {Y. S. Kim},
journal= {arXiv preprint arXiv:0811.0970},
year = {2008}
}
Comments
based on an invited talk presented at the 12th International Conference on Quantum Optics and Quantum Information (Vilnius, Lithuania, September 2008), to be published in the proceedings