Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

The theory of open localized quantum systems in representation of the effective Hamiltonian

Ashat M. Basharov

Published Oct 1, 2020• 1 citation
Publisher

Abstract

Abstract The paper substantiates the necessity of using the effective Hamiltonian in describing open optical systems.
DOI
10.1088/1742-6596/1628/1/012004

Related papers

Quantum theory of open systems in the representation of effective Hamiltonian and stochastic differential equations

Ashat M. Basharov

An original general approach to the description of open quantum systems in the Markovian approximation was formulated for the example of the dynamics of high-Q cavity mode photons in the presence of nonresonant cavity atoms bound with an external vacuum electromagnetic field.

Bulletin of the Russian Academy of Sciences Physics•Mar 1, 2012•0 citations

A comparative study on the reliability of non-Hermitian effective Hamiltonian approach for modeling open quantum systems

Santiago Echeverri-Arteaga, Herbert Vinck-Posada, Edgar A. Gómez

Optik•Jun 18, 2018•8 citations

The effective Hamiltonian as a necessary basis of the open quantum optical system theory

Ashat M. Basharov

Abstract Based on a model open system, the kinetic equation obtained from the initial exact Hamiltonian with anti-rotating terms is shown to differ from the kinetic equation from the approximate effective Hamiltonian without anti-rotating terms. The paper proves necessity of transition from the exact Hamiltonian to the effective Hamiltonian, with the main idea of its construction being the requirement for the absence of rapidly varying terms in the interaction representation. This requirement is necessary to obtain the correct kinetic equation.

Journal of Physics Conference Series•Apr 1, 2021•10 citations

“Global” and “Local” Approaches to the Theory of Open Quantum Optical Systems

Ashat M. Basharov

The application of “exact/complete” initial Hamiltonian of an open optical system and its surroundings and “approximate” effective Hamiltonian for the derivation of the kinetic equation of the open optical system is analyzed in the conditions of the Markovian approximation and the representation of the open system surroundings (thermostat) as a delta-correlated noise. It is shown that the characteristic time hierarchy of the open system naturally necessitates a transition from the aforementioned exact Hamiltonian to the approximate effective Hamiltonian for the subsequent use of the Markovian approximation and the model of delta-correlated surroundings of the open system in the local approach. The Schrödinger equation for the wavevector of the open system and its surroundings is a quantum stochastic differential equation, from which the kinetic equation describing both familiar and new results can be derived easily in the standard manner.

Journal of Experimental and Theoretical Physics•Nov 1, 2020•27 citations

Projection Operators Technique in the Theory of Open Quantum Systems

Vitalii Semin, Francesco Petruccione

In this work we study various aspects of the projection operators technique and application of projection operators to description of open quantum systems.

EPJ Web of Conferences•Jan 1, 2015•2 citations

Effective Hamiltonian approach to periodically perturbed quantum optical systems

Isabel Sainz, A. B. Klimov, C. Saavedra

Physics Letters A•Nov 11, 2005•7 citations
Abstract Based on a model open system, the kinetic equation obtained from the initial exact Hamiltonian with anti-rotating terms is shown to differ from the kinetic equation from the approximate effective Hamiltonian without anti-rotating terms. The paper proves necessity of transition from the exact Hamiltonian to the effective Hamiltonian, with the main idea of its construction being the requirement for the absence of rapidly varying terms in the interaction representation. This requirement is necessary to obtain the correct kinetic equation.
The application of “exact/complete” initial Hamiltonian of an open optical system and its surroundings and “approximate” effective Hamiltonian for the derivation of the kinetic equation of the open optical system is analyzed in the conditions of the Markovian approximation and the representation of the open system surroundings (thermostat) as a delta-correlated noise. It is shown that the characteristic time hierarchy of the open system naturally necessitates a transition from the aforementioned exact Hamiltonian to the approximate effective Hamiltonian for the subsequent use of the Markovian approximation and the model of delta-correlated surroundings of the open system in the local approach. The Schrödinger equation for the wavevector of the open system and its surroundings is a quantum stochastic differential equation, from which the kinetic equation describing both familiar and new results can be derived easily in the standard manner.