A review of the main experimental achievements in the new field of physics — laser cooling of solids — is presented. The method of nonequilibrium statistical operator is used to develop the theory of laser cooling of an impurity crystal. Predictions of this theory are compared with the results of experiments carried out at Los Alamos National Laboratory (USA).

Quantum ElectronicsMar 31, 20012 citations

Journal of Russian Laser Research

Classical field theory methods in laser physics II. Statistical methods of laser physics

A. S. Biryukov, E. M. Kudryavtsev, А. Н. Логунов, Vladimir A. Shcheglov

Published May 1, 1997• 0 citations

Publisher

DOI: 10.1007/bf02558702

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Systematic method for unification of various field theories in a two-dimensional classical

\phi^4

field theory

\Phi^{4}

field theory model to study several field theories with different symmetries in various dimensions. While the completeness of this model has been already proved by a mapping between statistical mechanics and quantum information theory, here, we take into account a fundamental systematic approach with purely mathematical basis to re-derive such completeness in a general manner. Due to simplicity and generality, we believe that our method leads to a general approach which can be understood by other physical communities as well as quantum information theorists. Furthermore, our proof of the completeness is not only a proof-of-principle, but also an interesting algorithmic proof. We consider a discrete version of a general field theory as an arbitrary polynomial function of fields which is defined on a lattice with arbitrary dimension. Then we give a few specific transformations on such field theories to convert them to a classical

\phi^4

field theory on a 2D square lattice with the same Partition function. We also extend the results to the

U(1)

lattice gauge theories in arbitrary dimensions.