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

Chinese Physics Letters

Evolution of Population Inversion Controlled by the Time-Dependent Coupling: an Inverse Problem

Sunsheng Yang, Yang Ya-Ping, Chen Hong

Published Apr 28, 2006• 5 citations
Publisher

Abstract

We propose an inverse idea of controlling the evolution of the population inversion by a time-dependent coupling between the cavity field and a two-level system described through the Jaynes–Cummings model. We demonstrate the detailed procedure by obtaining the population evolution taking the non-sinusoidal form, which is different from the previous sinusoidal Rabi oscillation as the cavity field frequency and coupling parameters are constant during the interaction time.

DOI
10.1088/0256-307x/23/5/020

Related papers

A generalized unitary transformation for solving time-independent and time-dependent Jaynes–Cummings models under resonant and selected off-resonance conditions

ANTONINO MESSINA, Hiromichi Nakazato, Antonio S. M. de Castro +4 more

Jaynes–Cummings (JC) models are by far the most widely used to study the dynamics of two-level systems, such as atoms or molecules under suitable conditions, coupled to quantized electromagnetic fields. Nowadays, analytical solutions of JC models are more useful than ever for understanding and controlling radiation-matter interactions relevant to quantum information processing, quantum computing, and other quantum technologies. This study presents the analysis and generalization of a method for the solution of the dynamical problem in the time-independent JC model (Carbonaro et al., 1979) that enables an exact description of the atom-field dynamics in the resonant time-dependent JC model and in a nontrivial class of off-resonance time-dependent JC models. Our analysis produces the ready-to-use forms of the evolution operator in the resonant and non-resonant cases, which are then used to derive the evolution of the atomic population inversion for some types of atom-field coupling. The central idea behind the proposed approach offers opportunities for its extension to other time-dependent cases and its generalization to JC-related models.

Annals of Physics•Jul 7, 2026•0 citations

Interaction of a two-level atom and a field with a time-varying frequency in a Kerr-like medium

Li Wang, Jingpin Xu, Yunfeng Gao

The interactions between a two-level atom and a coherent field with a time-varying frequency in a Kerr-like medium have been investigated. It is found that the average of the atomic population inversion is deformed as the frequency changing with time in sine form. It is interesting that when the amplitude of field modulation and third-order nonlinear susceptibility are adjusted to certain values, the collapse–revival phenomena of population inversion in the standard Jaynes–Cumming model disappear and are replaced by a nearly Rabi-oscillation-like evolution. In other words, population inversion in the initial coherent field behaves like that in the initial Fock state. This provides a new way to manipulate the interaction between the atom and the field, and has potential applications in quantum information and quantum communication.

Journal of Physics B Atomic Molecular and Optical Physics•Apr 13, 2010•7 citations

Reproducing the Effects of Quantum Deformation in the Undeformed Jaynes‐Cummings Model

Thiago Takaji Tsutsui, Antonio S. M. de Castro, Fabiano M. Andrade

Abstract In the Jaynes‐Cummings (JC) model, the time dependence in the coupling parameter allows changes in the forms of the Rabi oscillations. In the inverse problem approach (IPA), the time‐dependent coupling parameter is obtained from the resulting population inversion. In this work, the IPA is employed to obtain a time‐dependent coupling that reproduces the effects of ‐deformation in the population inversion of an undeformed JC. This is relevant because it may pave the way for simulating quantum deformation in the JC model and possibly enables an experimental verification in a setting where the coupling can be precisely controlled.

arXiv:2410.19118•Advanced Quantum Technologies•Apr 29, 2025•2 citations

Jaynes-Cummings model with a para-Bose oscillator

J. Črnugelj, M. Martinis, Vesna Mikuta-Martinis

We study the time evolution of the atomic population inversion 〈${\mathrm{\ensuremath{\sigma}}}_{3}$(t)〉 of a Jaynes-Cummings model with an intensity-dependent coupling which is described by a para-Bose oscillator of the Calogero-Vasiliev type. We show that both the time and the shape of the revival signal are sensitive to the order of the para-Bose oscillator and the value of the average number of cavity photons.

Physical Review A•Oct 1, 1994•4 citations

Studies on the interaction of two level atoms with quantized electromagnetic field

K. V. PRIYESH, R. B. Thayyullathil

The present study described about the interaction of a two level atom and squeezed field with time varying frequency. By applying a sinusoidal variation\nin the frequency of the field, the randomness in population inversion is reduced and the collapses and periodic revivals are regained. Quantum optics is an emerging field in physics which mainly deals with the interaction of atoms with quantised electromagnetic fields. Jaynes-Cummings Model (JCM) is a key model among them, which describes the interaction between a two level atom and a single mode radiation field. Here the study begins with a brief history of light, atom and their interactions. Also discussed the interaction between atoms and electromagnetic fields. The study suggest a method to manipulate the population inversion due to interaction and control the randomness in it, by applying a time dependence on the frequency of the interacting squeezed field.The change in behaviour of the population inversion due to the presence of a phase factor in the applied frequency variation is explained here.This study also describes the interaction between two level atom and electromagnetic field in nonlinear Kerr medium. It deals with atomic and field state evolution in a coupled cavity system. \nOur results suggest a new method to control and manipulate the population of states in two level atom radiation interaction,which is very essential for quantum information processing.We have also studied the variation of atomic population inversion with time, when a two level atom interacts with light field, where\nthe light field has a sinusoidal frequency variation with a constant phase. In both coherent field and squeezed field cases, the population inversion variation is completely different from the phase zero frequency modulation case. It is observed that in the presence of a non zero phase φ, the population inversion oscillates sinusoidally.Also the collapses and revivals gradually disappears when φ increases\nfrom 0 to π/2. When φ = π/2 the evolution of population inversion is identical to the case when a two level atom interacts with a Fock state. Thus, by applying a phase shifted frequency modulation one can induce sinusoidal oscillations of atomic inversion in linear medium, those normally observed in Kerr medium. \nWe noticed that the entanglement between the atom and field can be controlled by\nvarying the period of the field frequency fluctuations. The system has been solved numerically and the behaviour of it for different initial conditions and different susceptibility values are analysed. It is observed that, for weak cavity coupling the effect of susceptibility is minimal. In cases of strong cavity coupling, susceptibility factor modifies the nature in which the probability oscillates with time. Effect\nof susceptibility on probability of states is closely related to the initial state of the system.

•May 1, 2014•0 citations

Quantum origin of dephasing and revivals in the coherent-state Jaynes-Cummings model

P. L. Knight, PAUL M. RADMORE

The Jaynes-Cummings model of a two-level system interacting with a single-mode coherent-state field is investigated in a transformed representation emphasizing quantum corrections to the semiclassical Rabi problem. We find an intuitive explanation of the collapse and revivals of oscillations in the population inversion.

Physical Review A•Jul 1, 1982•137 citations
We propose an inverse idea of controlling the evolution of the population inversion by a time-dependent coupling between the cavity field and a two-level system described through the Jaynes–Cummings model. We demonstrate the detailed procedure by obtaining the population evolution taking the non-sinusoidal form, which is different from the previous sinusoidal Rabi oscillation as the cavity field frequency and coupling parameters are constant during the interaction time.
Jaynes–Cummings (JC) models are by far the most widely used to study the dynamics of two-level systems, such as atoms or molecules under suitable conditions, coupled to quantized electromagnetic fields. Nowadays, analytical solutions of JC models are more useful than ever for understanding and controlling radiation-matter interactions relevant to quantum information processing, quantum computing, and other quantum technologies. This study presents the analysis and generalization of a method for the solution of the dynamical problem in the time-independent JC model (Carbonaro et al., 1979) that enables an exact description of the atom-field dynamics in the resonant time-dependent JC model and in a nontrivial class of off-resonance time-dependent JC models. Our analysis produces the ready-to-use forms of the evolution operator in the resonant and non-resonant cases, which are then used to derive the evolution of the atomic population inversion for some types of atom-field coupling. The central idea behind the proposed approach offers opportunities for its extension to other time-dependent cases and its generalization to JC-related models.
The interactions between a two-level atom and a coherent field with a time-varying frequency in a Kerr-like medium have been investigated. It is found that the average of the atomic population inversion is deformed as the frequency changing with time in sine form. It is interesting that when the amplitude of field modulation and third-order nonlinear susceptibility are adjusted to certain values, the collapse–revival phenomena of population inversion in the standard Jaynes–Cumming model disappear and are replaced by a nearly Rabi-oscillation-like evolution. In other words, population inversion in the initial coherent field behaves like that in the initial Fock state. This provides a new way to manipulate the interaction between the atom and the field, and has potential applications in quantum information and quantum communication.
Abstract In the Jaynes‐Cummings (JC) model, the time dependence in the coupling parameter allows changes in the forms of the Rabi oscillations. In the inverse problem approach (IPA), the time‐dependent coupling parameter is obtained from the resulting population inversion. In this work, the IPA is employed to obtain a time‐dependent coupling that reproduces the effects of ‐deformation in the population inversion of an undeformed JC. This is relevant because it may pave the way for simulating quantum deformation in the JC model and possibly enables an experimental verification in a setting where the coupling can be precisely controlled.
The present study described about the interaction of a two level atom and squeezed field with time varying frequency. By applying a sinusoidal variation\nin the frequency of the field, the randomness in population inversion is reduced and the collapses and periodic revivals are regained. Quantum optics is an emerging field in physics which mainly deals with the interaction of atoms with quantised electromagnetic fields. Jaynes-Cummings Model (JCM) is a key model among them, which describes the interaction between a two level atom and a single mode radiation field. Here the study begins with a brief history of light, atom and their interactions. Also discussed the interaction between atoms and electromagnetic fields. The study suggest a method to manipulate the population inversion due to interaction and control the randomness in it, by applying a time dependence on the frequency of the interacting squeezed field.The change in behaviour of the population inversion due to the presence of a phase factor in the applied frequency variation is explained here.This study also describes the interaction between two level atom and electromagnetic field in nonlinear Kerr medium. It deals with atomic and field state evolution in a coupled cavity system. \nOur results suggest a new method to control and manipulate the population of states in two level atom radiation interaction,which is very essential for quantum information processing.We have also studied the variation of atomic population inversion with time, when a two level atom interacts with light field, where\nthe light field has a sinusoidal frequency variation with a constant phase. In both coherent field and squeezed field cases, the population inversion variation is completely different from the phase zero frequency modulation case. It is observed that in the presence of a non zero phase φ, the population inversion oscillates sinusoidally.Also the collapses and revivals gradually disappears when φ increases\nfrom 0 to π/2. When φ = π/2 the evolution of population inversion is identical to the case when a two level atom interacts with a Fock state. Thus, by applying a phase shifted frequency modulation one can induce sinusoidal oscillations of atomic inversion in linear medium, those normally observed in Kerr medium. \nWe noticed that the entanglement between the atom and field can be controlled by\nvarying the period of the field frequency fluctuations. The system has been solved numerically and the behaviour of it for different initial conditions and different susceptibility values are analysed. It is observed that, for weak cavity coupling the effect of susceptibility is minimal. In cases of strong cavity coupling, susceptibility factor modifies the nature in which the probability oscillates with time. Effect\nof susceptibility on probability of states is closely related to the initial state of the system.