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

Physical Review Letters

Periodic Spontaneous Collapse and Revival in a Simple Quantum Model

Joseph H. Eberly, Nikolay B. Narozhny, J. J. Sánchez-Mondragón

Published May 19, 1980• 1,295 citations
Publisher

Abstract

This Letter reports on the existence of periodic spontaneous collapse and revival of coherence in the dynamics of a simple quantum model. Also given are the first accurate expressions for the intermediate-time and long-time dynamical behavior of the model.
DOI
10.1103/physrevlett.44.1323

Related papers

Long-Time Dynamical Behaviour of Alternative-Current Stark Effect

Wu Wen-Guo, Jingbiao Chen

We report the long time dynamical behaviour of ac Stark effect in a simple quantum model in which two level atoms interact with quantized coherent radiation field. A new phenomenon of periodic quantum collapse and revival of the ac Stark shift of energy level due to ac Stark effect is expressed accurately by analysing the phase of transition probability amplitude. The analytic prediction is confirmed by the numerical results.

Chinese Physics Letters•Aug 23, 2007•1 citation

On the dynamics of a quantum system which is classically chaotic

Holger Frahm, H.-J. Mikeska

The European Physical Journal B•Mar 1, 1985•75 citations

Coherence versus incoherence: Collapse and revival in a simple quantum model

Nikolay B. Narozhny, J. J. Sánchez-Mondragón, Joseph H. Eberly

We describe the temporal behavior of the dynamic elements of an exactly soluble quantum model. The model consists of a single two-level atom or spin interacting with a single mode of the quantized radiation field in the dipole approximation, the mode being initially in an arbitrary coherent state of excitation. We give new long-time numerical and closed-form approximate analytic solutions for the expectation values of the atomic dipole moment and the difference in population of the two atomic levels in the rotating wave approximation. The atomic dipole-dipole correlation function is calculated. All of the results are obtained without semiclassical or decorrelation approximations. Unusual features found in the temporal behavior of this lossless model problem are "collapse," i.e., episodic nonexponential damping of both the atomic inversion and dipole moment, and two kinds of "revival" or partial recorrelation, in the dynamic evolution, during which the initial state is nearly recovered. We give analytic formulas for the collapse function, for both of the revival times, and for the envelope of the revival maxima. Some remarks are made about the nature of irreversibility in this exactly soluble and loss-free model.

Physical Review A•Jan 1, 1981•621 citations

Effect of dissipative environment on collapses and revivals of a non-linear quantum oscillator

Maninder Kaur, Bindiya Arora, Arvind

arXiv:1607.07396•The European Physical Journal D•Aug 1, 2018•5 citations

The model of quantum evolution

Konstantin P. Wishnevsky

This paper has been withdrawn by the author due to extremely unscientific errors.

arXiv:0806.4511•Jun 27, 2008•0 citations

Dynamic Behavior of Atoms in Time-dependent Nonlinear Jayres-Cummings(J-C)Model

Pei Qi-ming

The dynamic behavior of atoms in time-dependent nonlinear J-C model is studied. The influ- ence of pulse width and average photon number on dynamic behavior of atoms as the atoms are cou- pled with photon field in the form of time pulse is discussed. The result shows that when the average photon number is fixed in the field,with the increase of pulse width,the collapse and revival number are enhanced,while the time of collapse and period of revival are reduced. When the pulse width is fixed,the time of collapse and revival period are reduced gradually with the increase of pulse width in the field.

Journal of Yangtze University•Jan 1, 2006•0 citations
We describe the temporal behavior of the dynamic elements of an exactly soluble quantum model. The model consists of a single two-level atom or spin interacting with a single mode of the quantized radiation field in the dipole approximation, the mode being initially in an arbitrary coherent state of excitation. We give new long-time numerical and closed-form approximate analytic solutions for the expectation values of the atomic dipole moment and the difference in population of the two atomic levels in the rotating wave approximation. The atomic dipole-dipole correlation function is calculated. All of the results are obtained without semiclassical or decorrelation approximations. Unusual features found in the temporal behavior of this lossless model problem are "collapse," i.e., episodic nonexponential damping of both the atomic inversion and dipole moment, and two kinds of "revival" or partial recorrelation, in the dynamic evolution, during which the initial state is nearly recovered. We give analytic formulas for the collapse function, for both of the revival times, and for the envelope of the revival maxima. Some remarks are made about the nature of irreversibility in this exactly soluble and loss-free model.
The dynamic behavior of atoms in time-dependent nonlinear J-C model is studied. The influ- ence of pulse width and average photon number on dynamic behavior of atoms as the atoms are cou- pled with photon field in the form of time pulse is discussed. The result shows that when the average photon number is fixed in the field,with the increase of pulse width,the collapse and revival number are enhanced,while the time of collapse and period of revival are reduced. When the pulse width is fixed,the time of collapse and revival period are reduced gradually with the increase of pulse width in the field.