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

Springer series in chemical physics

Population dynamics in quantum structures

Thomas Müller, Wolfgang Parz, Rudolf Bratschitsch, G. Strasser, K. Unterrainer

Published Jan 1, 2003• 0 citations
Publisher
DOI
10.1007/978-3-642-59319-2_122

Related papers

Population dynamics in a quantum level-band-level system

V. M. Akulin, É. P. Garsevanishvili

Journal of Experimental and Theoretical Physics•Feb 1, 1991•0 citations

Quantum dynamics of two quantum dots in the vicinity of a photonic band edge: role of structured reservoirs and phonons

C. Roy

We study the population and disentanglement dynamics of two identical quantum dots placed inside the structured electromagnetic reservoir of a photonic crystal and coupled to an independent bath of thermal phonons. A formalism based on the method of generalized-Laplace transforms is developed to study the population and disentanglement dynamics. The effect of resonant dipole dipole interaction between the two quantum dots on the population dynamics in the presence of phonons and shows that the two two-level atoms can have a residual population at long times in the structured reservoir of a photonic crystal due to the formation of a photon-atom bound state. The disentanglement dynamics of the two quantum dots (assumed to be initially entangled) is studied using concurrence as a measure and is computed from the reduced two two-level system density matrix using the method of generalized-Laplace transforms. We show that partial disentanglement results from the interaction of the two quantum dots with the electromagnetic and phonon reservoirs. However, substantial entanglement is preserved in the fractionalized steady state formed if the transition frequency of two the quantum dots lies in the vicinity of the photonic band edge. We also discuss in detail the role of acoustic phonons on the population and disentanglement dynamics and the long time residual entanglement.

Journal of Modern Optics•Apr 10, 2010•0 citations

Controlling population dynamics in open two-level quantum systems

Mavundla Lwandile Cedrick

•Jun 1, 2026•0 citations

Non-Markovian dynamics of a three-level Λ-atom coupled to a structured reservoir: comparison between the weak and strong coupling regimes

Xing Mao Xiao, Mao-Fa Fang, Yan-Ling Li

The dynamics of a three-level Λ-atom coupled to a structured reservoir has been investigated. Comparing the Lorentzian time-dependent decay rate and population dynamics for the weak coupling regime with those for the strong coupling regime, we note that non-Markovian features exist in both regimes, but population dynamics shows fairly different behaviors. Moreover, the different positions of the two transition frequencies with respect to the structured reservoir reduces the influence of non-Markovian effects on population dynamics. Based on the non-Markovianity, we give an intuitive interpretation of the result that the non-Markovian effects have little influence on population dynamics in the weak coupling regime, but have an obvious influence in the strong coupling regime.

Physica Scripta•Jan 1, 2011•4 citations

Population dynamics and phase effects in periodic level crossings

B. M. Garraway, Nikolay V. Vitanov

We present an analytic study of the population dynamics of a two-state system interacting with an external field and subjected to periodic level crossings. We apply an evolution matrix approach to calculate the excited-state population at the crossings (the nodes) and at the antinodes. The results are expressed in terms of only two parameters: the transition probability p for a quarter period from a crossing to an antinode, and the transition probability P for a half period between two successive crossings. We find that the values of the excited-state population at the antinodes can form global (gross) structures. We show that these structures and the population dynamics as a whole are very sensitive to the initial phase \ensuremath{\varphi} of the frequency-modulated field, particularly in the limits \ensuremath{\varphi}=0 (cosine modulation) and \ensuremath{\varphi}=\ensuremath{\pi}/2 (sine modulation). We calculate the parameters p and P by using two analytic approaches: one based on the original Landau-Zener model, and the other based on the finite Landau-Zener model. Both approaches unexpectedly lead to the same results. The notion of the global structures and the relevant parametrization in terms of p and P allow us to find various distinctive cases of population dynamics, such as population swapping, completely periodic evolution, superpositional trapping, and stepwise evolution.

Physical Review A•Jun 1, 1997•67 citations

Elements of Quantum Dynamics

Springer eBooks•Jun 7, 2006•0 citations
We study the population and disentanglement dynamics of two identical quantum dots placed inside the structured electromagnetic reservoir of a photonic crystal and coupled to an independent bath of thermal phonons. A formalism based on the method of generalized-Laplace transforms is developed to study the population and disentanglement dynamics. The effect of resonant dipole dipole interaction between the two quantum dots on the population dynamics in the presence of phonons and shows that the two two-level atoms can have a residual population at long times in the structured reservoir of a photonic crystal due to the formation of a photon-atom bound state. The disentanglement dynamics of the two quantum dots (assumed to be initially entangled) is studied using concurrence as a measure and is computed from the reduced two two-level system density matrix using the method of generalized-Laplace transforms. We show that partial disentanglement results from the interaction of the two quantum dots with the electromagnetic and phonon reservoirs. However, substantial entanglement is preserved in the fractionalized steady state formed if the transition frequency of two the quantum dots lies in the vicinity of the photonic band edge. We also discuss in detail the role of acoustic phonons on the population and disentanglement dynamics and the long time residual entanglement.
The dynamics of a three-level Λ-atom coupled to a structured reservoir has been investigated. Comparing the Lorentzian time-dependent decay rate and population dynamics for the weak coupling regime with those for the strong coupling regime, we note that non-Markovian features exist in both regimes, but population dynamics shows fairly different behaviors. Moreover, the different positions of the two transition frequencies with respect to the structured reservoir reduces the influence of non-Markovian effects on population dynamics. Based on the non-Markovianity, we give an intuitive interpretation of the result that the non-Markovian effects have little influence on population dynamics in the weak coupling regime, but have an obvious influence in the strong coupling regime.
We present an analytic study of the population dynamics of a two-state system interacting with an external field and subjected to periodic level crossings. We apply an evolution matrix approach to calculate the excited-state population at the crossings (the nodes) and at the antinodes. The results are expressed in terms of only two parameters: the transition probability p for a quarter period from a crossing to an antinode, and the transition probability P for a half period between two successive crossings. We find that the values of the excited-state population at the antinodes can form global (gross) structures. We show that these structures and the population dynamics as a whole are very sensitive to the initial phase \ensuremath{\varphi} of the frequency-modulated field, particularly in the limits \ensuremath{\varphi}=0 (cosine modulation) and \ensuremath{\varphi}=\ensuremath{\pi}/2 (sine modulation). We calculate the parameters p and P by using two analytic approaches: one based on the original Landau-Zener model, and the other based on the finite Landau-Zener model. Both approaches unexpectedly lead to the same results. The notion of the global structures and the relevant parametrization in terms of p and P allow us to find various distinctive cases of population dynamics, such as population swapping, completely periodic evolution, superpositional trapping, and stepwise evolution.