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Bogoliubov approximation as a second-order approximation in the spectral-density method.—II

Alvaro Caramico D’Auria, L. De Cesare, Ugo Esposito +1 more

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fieldsOct 1, 19805 citations

The Method of Spectral Densities in Quantum Statistical Mechanics

O. K. Kalashnikov, Efim S. Fradkin

Journal of Experimental and Theoretical PhysicsFeb 1, 19694 citations

Поведение на больших временах многоуровневых открытых систем, взаимодействующих с невакуумными резервуарами

Alexander Evgen’evich Teretenkov

The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical uncorrelated reservoirs in diagonal states we have obtained the first perturbative correction for such dynamics in the Bogolubov – van Hove limit. We have shown that after initial state renormalization it can be completely described in terms of finite-dimensional semigroup. The method we provide can also be applied to the further orders of perturbation theory with Bogolubov – van Hove scaling.The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical uncorrelated reservoirs in diagonal states we have obtained the first perturbative correction for such dynamics in the Bogolubov – van Hove limit. We have shown that after initial state renormalization it can be completely described in terms of finite-dimensional semigroup. The method we provide can also be applied to the further orders of perturbation theory with Bogolubov – van Hove scaling.

ФИЗИКА ЭЛЕМЕНТАРНЫХ ЧАСТИЦ И АТОМНОГО ЯДРАSep 24, 20250 citations

Long-Time Behavior of Multi-Level Open Systems Interacting with Non-Vacuum Reservoirs

Alexander Evgen’evich Teretenkov

Abstract The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical uncorrelated reservoirs in diagonal states we have obtained the first perturbative correction for such dynamics in the Bogolubov–van Hove limit. We have shown that after initial state renormalization it can be completely described in terms of finite-dimensional semigroup. The method we provide can also be applied to the further orders of perturbation theory with Bogolubov–van Hove scaling.Abstract The model of multi-level open quantum system interacting with a non-vacuum reservoir in the rotating wave approximation is considered. We provide an exact integral representation for the reduced density matrix of the system. For identical uncorrelated reservoirs in diagonal states we have obtained the first perturbative correction for such dynamics in the Bogolubov–van Hove limit. We have shown that after initial state renormalization it can be completely described in terms of finite-dimensional semigroup. The method we provide can also be applied to the further orders of perturbation theory with Bogolubov–van Hove scaling.

arXiv:2410.05505Physics of Particles and NucleiAug 1, 20251 citation

The Method of Reduced Density Operators

M. Bönitz

Springer eBooksNov 17, 20151 citation

Spectral density method in classical statistical mechanics

Alvaro Caramico D’Auria, L. De Cesare, Ugo Esposito

Physics Letters ASep 1, 198111 citations

Bogolubov approximation as a second-order approximation in the spectral density method

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