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 eBooks

Resonant Multiphoton Interactions and the Generalized Two-Level System

Valerii S. Butylkin, Yury G. Khronopulo, A. E. Kaplan, Evsei I. Yakubovich

Published Jan 1, 1989• 1 citation
Publisher
DOI
10.1007/978-3-642-68891-1_1

Related papers

Resonant multiphoton interaction of noise radiation with a generalized two-level system

Gennady M. Krochik, N. M. Krochik

Radiophysics and Quantum Electronics•Sep 1, 1982•1 citation

Multiphoton resonance in three-level systems

Michał Berent

•Jun 1, 2012•0 citations

Microwave multiphoton conversion via coherently driven permanent dipole systems

Alexandra Mîrzac, Sergiu Carlig, Mihai Macovei

We investigate the multiphoton quantum dynamics of a leaking single-mode quantized cavity field coupled with a resonantly driven two-level system possessing permanent dipoles. The frequencies of the interacting subsystems being considered are very different, e.g., the microwave range for the cavity and the optical domain for the frequency of the two-level emitter, respectively. In this way, the emitter couples to the resonator mode only via its diagonal dipole moments. Furthermore, the generalized Rabi frequency resulting from the external coherent driving of the two-level subsystem is also assumed to be different from the resonator's frequency or its multiples. As a consequence, this highly dispersive interaction regime is responsible for the cavity multiphoton quantum dynamics and photon conversion from the optical to microwave range, respectively.

arXiv:2008.05419•Physical Review A•Apr 26, 2021•5 citations

Aspects of Resonant Multiphoton Processes

A. T. Georges, P. Lambropoulos

Advances in electronics and electron physics•Jan 1, 1980•59 citations

Two-level system with broken inversion symmetry coupled to a quantum harmonic oscillator

H. K. Avetissian, G. F. Mkrtchian

We study the generalized Jaynes-Cummings model of quantum optics at the inversion-symmetry breaking and in the ultrastrong coupling regime. With the help of a generalized multiphoton rotating-wave approximation, we study the stationary solutions of the Schr\"odinger equation. It is shown that the problem is reduced to resonant interaction of two position-displaced harmonic oscillators. Explicit expressions for the eigenstates and eigenvalues of generalized Jaynes-Cummings Hamiltonian are presented. We exemplify our physical model with analytical and numerical considerations regarding Rabi oscillations, collapse and revivals of the initial population of a two-level system, and photon distribution function at the direct multiphoton resonant coupling.

arXiv:1306.4896•Physical Review A•Oct 9, 2013•7 citations

Mapping generalized Jaynes–Cummings interaction into correlated finite-sized systems

Himadri Shekhar Dhar, Arpita Chatterjee, Rupamanjari Ghosh

We consider a generalized Jaynes–Cummings model of a two-level atom interacting with a multimode nondegenerate coherent field. The sum of the mode frequencies is equal to the two-level transition frequency, creating the resonance condition. The intermediate levels associated with the multiphoton process are adiabatically eliminated using the non-resonant conditions for these transitions. Under such general conditions, the infinite atom–multiphoton interaction is effectively mapped onto an equivalent reduced 2 × 2 bipartite qubit system that facilitates the study of the nonclassical features of the interaction using known information-theoretic measures. We observe that the bipartite pure system is highly entangled as quantified by its entanglement of formation. Furthermore, it is shown that the dynamics of the mapped system can be generated using optically truncated, quantum scissored states that reduce the infinite atom–multiphoton interaction to a finite 2 × k system, where k is a suitable truncation number. This allows us to introduce atomic dephasing and study the mixed state dynamics, characterized by the decay of quantum correlations such as quantum discord, which is observed to be more robust than entanglement. The quantum correlation dynamics of the dissipative system qualitatively complements the behaviour of collapse and revival of the Rabi oscillations in the system. The effective mapping of the composite system proves to be an efficient tool for measuring information-theoretic properties.

arXiv:1404.5762•Journal of Physics B Atomic Molecular and Optical Physics•Jun 19, 2014•4 citations
We investigate the multiphoton quantum dynamics of a leaking single-mode quantized cavity field coupled with a resonantly driven two-level system possessing permanent dipoles. The frequencies of the interacting subsystems being considered are very different, e.g., the microwave range for the cavity and the optical domain for the frequency of the two-level emitter, respectively. In this way, the emitter couples to the resonator mode only via its diagonal dipole moments. Furthermore, the generalized Rabi frequency resulting from the external coherent driving of the two-level subsystem is also assumed to be different from the resonator's frequency or its multiples. As a consequence, this highly dispersive interaction regime is responsible for the cavity multiphoton quantum dynamics and photon conversion from the optical to microwave range, respectively.
We study the generalized Jaynes-Cummings model of quantum optics at the inversion-symmetry breaking and in the ultrastrong coupling regime. With the help of a generalized multiphoton rotating-wave approximation, we study the stationary solutions of the Schr\"odinger equation. It is shown that the problem is reduced to resonant interaction of two position-displaced harmonic oscillators. Explicit expressions for the eigenstates and eigenvalues of generalized Jaynes-Cummings Hamiltonian are presented. We exemplify our physical model with analytical and numerical considerations regarding Rabi oscillations, collapse and revivals of the initial population of a two-level system, and photon distribution function at the direct multiphoton resonant coupling.
We consider a generalized Jaynes–Cummings model of a two-level atom interacting with a multimode nondegenerate coherent field. The sum of the mode frequencies is equal to the two-level transition frequency, creating the resonance condition. The intermediate levels associated with the multiphoton process are adiabatically eliminated using the non-resonant conditions for these transitions. Under such general conditions, the infinite atom–multiphoton interaction is effectively mapped onto an equivalent reduced 2 × 2 bipartite qubit system that facilitates the study of the nonclassical features of the interaction using known information-theoretic measures. We observe that the bipartite pure system is highly entangled as quantified by its entanglement of formation. Furthermore, it is shown that the dynamics of the mapped system can be generated using optically truncated, quantum scissored states that reduce the infinite atom–multiphoton interaction to a finite 2 × k system, where k is a suitable truncation number. This allows us to introduce atomic dephasing and study the mixed state dynamics, characterized by the decay of quantum correlations such as quantum discord, which is observed to be more robust than entanglement. The quantum correlation dynamics of the dissipative system qualitatively complements the behaviour of collapse and revival of the Rabi oscillations in the system. The effective mapping of the composite system proves to be an efficient tool for measuring information-theoretic properties.