arXiv subjects

M. Havukainen

Publications and source records attributed to M. Havukainen.

3 recordsLinked to original sources

arXiv2000

Wavelets as basis functions in canonical quantization

Canonical quantization of electromagnetic field is traditionally done using plane waves. It is possible to formulate the quantization using other complete set of basis functions. Wavelets are a special kind of functions which are localized in real as well as in Fourier space. In this paper we show how wavelets can be used as basis functions in canonical quantization. A countable set of mode functions are obtained. The general formalism of the change of basis is the same for all wavelets which satisfy a multiresolution analysis.

quant-ph↗

arXiv1999

Quantum simulations of optical systems

We show how two level atoms can be used to build microscopic models for mirrors and beamsplitters. The mirrors can have arbitrary shape allowing closed cavities to be built. It is possible to build networks or mirrors and beamsplitters and follow the time-evolution of the intensity of the radiation through the system.

quant-ph↗

arXiv1998

Numerical simulations of fundamental processes in cavity QED: Atomic decay

We present results of numerical investigation of a microscopic dynamics of a two-level atom embedded into a ``linear crystal'' of other two-level atoms. These additional atoms play a role of a material media. All atoms interact with a multimode cavity field. We study how the decay of the initially excited atom is affected by the presence of material media and spectral properties of the cavity field.

quant-ph↗