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

Microelectronics Journal

Wigner function and decoherence in a microcavity-Qdot system

J. P. Restrepo Cuartas, Herbert Vinck-Posada, Boris A. Rodríguez

Published Mar 21, 2008• 0 citations
Publisher
DOI
10.1016/j.mejo.2008.01.089

Related papers

Decoherence effects in the Wigner function formalism

Philipp Schwaha, Damien Querlioz, Philippe Dollfus +3 more

Journal of Computational Electronics•Jun 11, 2013•12 citations

Diffusive behaviour of the Wigner function and decoherence

Zbigniew Haba

Springer eBooks•Jan 1, 1999•0 citations

Study of the Temporal-Evolution of a Star-like Quantum State of Light Through the Wigner Function

Juan Camilo López Carreño, J. P. Restrepo Cuartas, Herbert Vinck-Posada

In this work the time evolution of a star-like state was studied. The state gets his name after the shape of it’s corresponding Wigner function. The physical situation considered is a confined atom inside a microcavity, whose boundaries are made of Bragg reflectors. After the atom is confined, a beam made of a Star state of light incides against the microcavity. The Bragg reflectors are made to let the radiation go inside the microvacity an to keep it inside the microcavity, in order to let it interact with the atom. The matter-radiation interaction was described using the Jaynes-Cummings model.The time evolution was made into two different parts. In the first one, the evolution we studied was purely hamiltonian; that is, there was no disipation terms. Once we did such evolution we saw that the Wigner function rotated and that furthermore, the rotation had a given frecuency. In order to fully characterize these behavior, an analitical expression for the rotation period was found. It was also seen that, while the Wigner function was rotating, it also varied between the star state and the vacuum state corresponding Wigner functions.When the dissipative terms were considered into the time evolution of the state, it was clear that the Wigner function does not rotate in the same way as when there were no dissipative terms. Moreover it was seen, that there were several time intervals in which the Wigner function did not rotate at all and that these behavior usually took place after sudden and fast oscilations. The latest oscilations meant that there were happening some phase swifts, in the sense that there were different physical situations taking place. In order to determine which states were involved in such phase swifts, a tomography of the density matrix corresponding to the time evolution was made. At last it was studied, if there were a set of dissipative parameters such that the stationary state reached by the time evolution coincided with the initial star state. To verify how similar those two states were, the fidelity parameter was used.In both cases entanglement measurements were used to characterized the states in which the system went throught during the time evolution.

Research in Optical Sciences•Jan 1, 2012•0 citations

Decoherence study of Wigner function using an energy approach

Yue Chan, Jiayun Gao

Wigner function has been widely used in quantum systems. However, most of the related works focus on analysing coherentstates of quantum systems. Few discuss the impact of decoherence, i.e. collision, arising from the environment. Decoherence is crucial as the interactions between systems and the environment may drive quantum systems into classical ones, losing their novel quantum properties. Here, we consider the collision related Wigner function and employ the concept of the energy functional approach to derive the fluctuation-dissipation relation for the present problem. Herein, we investigate the effect of linear and nonlinear potentials on decoherence. We find that nonlinear potentials tend to alleviatethe effect of decoherence. More strikingly, nonlinear potentials can sometimes temporarily promote coherence but induce more energy loss, resulting in more decoherence in the later stage. The present outcomes pave the way to quantify the effect of nonlinearity and hence covariance on quantum decoherence.

The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics•Dec 17, 2025•0 citations

Effects of decoherence on entangled atomic wave functions in microcavities

A. S. Majumdar, N. Nayak

Springer eBooks•Jan 1, 2003•0 citations

Quantum Transport and the Wigner Function

GERALD J. IAFRATE

NATO ASI series. Series B : Physics•Jan 1, 1988•3 citations
In this work the time evolution of a star-like state was studied. The state gets his name after the shape of it’s corresponding Wigner function. The physical situation considered is a confined atom inside a microcavity, whose boundaries are made of Bragg reflectors. After the atom is confined, a beam made of a Star state of light incides against the microcavity. The Bragg reflectors are made to let the radiation go inside the microvacity an to keep it inside the microcavity, in order to let it interact with the atom. The matter-radiation interaction was described using the Jaynes-Cummings model.The time evolution was made into two different parts. In the first one, the evolution we studied was purely hamiltonian; that is, there was no disipation terms. Once we did such evolution we saw that the Wigner function rotated and that furthermore, the rotation had a given frecuency. In order to fully characterize these behavior, an analitical expression for the rotation period was found. It was also seen that, while the Wigner function was rotating, it also varied between the star state and the vacuum state corresponding Wigner functions.When the dissipative terms were considered into the time evolution of the state, it was clear that the Wigner function does not rotate in the same way as when there were no dissipative terms. Moreover it was seen, that there were several time intervals in which the Wigner function did not rotate at all and that these behavior usually took place after sudden and fast oscilations. The latest oscilations meant that there were happening some phase swifts, in the sense that there were different physical situations taking place. In order to determine which states were involved in such phase swifts, a tomography of the density matrix corresponding to the time evolution was made. At last it was studied, if there were a set of dissipative parameters such that the stationary state reached by the time evolution coincided with the initial star state. To verify how similar those two states were, the fidelity parameter was used.In both cases entanglement measurements were used to characterized the states in which the system went throught during the time evolution.
Wigner function has been widely used in quantum systems. However, most of the related works focus on analysing coherentstates of quantum systems. Few discuss the impact of decoherence, i.e. collision, arising from the environment. Decoherence is crucial as the interactions between systems and the environment may drive quantum systems into classical ones, losing their novel quantum properties. Here, we consider the collision related Wigner function and employ the concept of the energy functional approach to derive the fluctuation-dissipation relation for the present problem. Herein, we investigate the effect of linear and nonlinear potentials on decoherence. We find that nonlinear potentials tend to alleviatethe effect of decoherence. More strikingly, nonlinear potentials can sometimes temporarily promote coherence but induce more energy loss, resulting in more decoherence in the later stage. The present outcomes pave the way to quantify the effect of nonlinearity and hence covariance on quantum decoherence.