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

Relaxation of Quantum Mechanical Systems.

Peter Herbert Mengert

Published Jan 1, 1963• 0 citations
OpenAlex

Related papers

Quantum Theory of Phase Relaxation

Takasi Endo

There are two kinds of dephasing (phase relaxation): statistical phase relaxation (SPR) and quantum-mechanical phase relaxation (QPR). SPR comes from statistical ensemble averaging. QPR comes from the trace over an environmental system. SPR represents a dynamic process of an ensemble but QPR represents one of an individual member of the ensemble. This classification makes the meaning of dephasing clear. A spectroscopic interpretation of dephasing is described.

Journal of the Physical Society of Japan•May 15, 1987•13 citations

Quantum Theory of Relaxation

Karl Blum

Springer eBooks•Jan 1, 1981•1 citation

Quantum Theory of Relaxation

Karl Blum

Springer series on atomic, optical, and plasma physics•Oct 4, 2011•1 citation

Introduction to quantum relaxation processes

Abraham Nitzan

Abstract This chapter introduces the theory and practice of quantum relaxation and quantum steady state processes. (1) A simple quantum-mechanical model for relaxation. (2) Relaxation in the time domain. (3) The origin of irreversibility. (4) Preparation of the initial state. (5) The effect of relaxation on absorption lineshapes. (6) Relaxation in a two-level system model. (7) Relaxation of a quantum harmonic oscillator. (8) Quantum mechanics of steady states. (9) Resonance tunnelling

•Jun 14, 2024•0 citations

Model for the Description of the Relaxation of Quantum-Mechanical Systems with Closely Spaced Energy Levels

I. V. Vovchenko, Vladislav Yu. Shishkov, A. A. Zyablovsky +1 more

Existing Markov models of the relaxation of quantum-mechanical systems are applicable in the approximations where the difference between eigenfrequencies is either much larger than the relaxation rates (global approach) or much lower than these rates (local approach). In this work, a model has been proposed to describe relaxation in systems where the difference between some eigenfrequencies is close to the relaxation rates. It has been shown that the master equation for the density matrix contains coefficients explicitly depending on the time in the interaction representation. Equations for the occupation numbers of the modes of the system have been derived by example of two interacting oscillators. It has been shown that occupation numbers in the proposed approach in the limits of small and large differences between eigenfrequencies compared to the relaxation rates asymptotically match the occupation numbers in the local and global approaches, respectively.

Journal of Experimental and Theoretical Physics Letters•Jul 1, 2021•12 citations

Quantum Theory of Relaxation

Karl Blum

Springer eBooks•Jan 1, 1996•0 citations
Existing Markov models of the relaxation of quantum-mechanical systems are applicable in the approximations where the difference between eigenfrequencies is either much larger than the relaxation rates (global approach) or much lower than these rates (local approach). In this work, a model has been proposed to describe relaxation in systems where the difference between some eigenfrequencies is close to the relaxation rates. It has been shown that the master equation for the density matrix contains coefficients explicitly depending on the time in the interaction representation. Equations for the occupation numbers of the modes of the system have been derived by example of two interacting oscillators. It has been shown that occupation numbers in the proposed approach in the limits of small and large differences between eigenfrequencies compared to the relaxation rates asymptotically match the occupation numbers in the local and global approaches, respectively.