[KSIĄŻKA][B] A group-theoretical approach to quantum optics: models of atom-field interactions

AB Klimov, SM Chumakov - 2009 - books.google.com
Written by major contributors to the field who are well known within the community, this is the
first comprehensive summary of the many results generated by this approach to quantum …

Method of small rotations and effective Hamiltonians in nonlinear quantum optics

AB Klimov, LL Sanchez-Soto - Physical Review A, 2000 - APS
We propose a general method for diagonalizing a wide class of nonlinear Hamiltonians
describing different quantum optical models. This method makes use of a nonlinear …

Exact evolution equations for SU (2) quasidistribution functions

AB Klimov - Journal of Mathematical Physics, 2002 - inis.iaea.org
Exact evolution equations for SU(2) quasidistribution functio..|INIS IAEA NUCLEUS Sign In
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Effective Hamiltonians in quantum optics: a systematic approach

AB Klimov, LL Sánchez-Soto, A Navarro… - Journal of Modern …, 2002 - Taylor & Francis
A general and systematic method for obtaining eiective Hamiltonians that describe diierent
nonlinear optical processes is discussed. The method exploits the existence of a nonlinear …

Resonance expansion versus the rotating-wave approximation

AB Klimov, I Sainz, SM Chumakov - Physical Review A, 2003 - APS
We propose a general perturbative approach to quantum-optical models without the rotating-
wave approximation. We show that a generic Hamiltonian describing interaction between …

Master equations for effective Hamiltonians

AB Klimov, JL Romero, J Delgado… - Journal of Optics B …, 2002 - iopscience.iop.org
We re-elaborate on a general method for obtaining effective Hamiltonians that describe
different nonlinear optical processes. The method exploits the existence of a nonlinear …

An algebraic solution of Lindblad-type master equations

AB Klimov, JL Romero - Journal of Optics B: Quantum and …, 2003 - iopscience.iop.org
An algebraic solution of Lindblad-type master equations Page 1 Journal of Optics B: Quantum
and Semiclassical Optics An algebraic solution of Lindblad-type master equations To cite this …

On realizations ofnonlinear'Lie algebras by differential operators

J Beckers, Y Brihaye, N Debergh - Journal of Physics A …, 1999 - iopscience.iop.org
We study realizations of polynomial deformations of the-Lie algebra in terms of differential
operators strongly related to bosonic operators. We also distinguish their finite-and infinite …

The relation between polynomial deformations ofsl (2, R) and quasi-exact solvability

N Debergh - Journal of Physics A: Mathematical and General, 2000 - iopscience.iop.org
A general method based on the polynomial deformations of the Lie algebra sl (2, R) is
proposed in order to exhibit the quasi-exact solvability of specific Hamiltonians implied by …

Polynomial Lie algebra methods in solving the second-harmonic generation model: some exact and approximate calculations

VP Karassiov, AA Gusev, SI Vinitsky - Physics Letters A, 2002 - Elsevier
We compare exact and SU (2)-cluster approximate calculation schemes to determine
dynamics of the second-harmonic generation model using its reformulation in terms of a …