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 A

Cavity-induced decay of Floquet states in a bichromatic driving field

G. S. Agarwal, W. Lange, HERBERT WALTHER

Published Jan 1, 1995• 12 citations
Publisher

Abstract

A theoretical study of the dynamics of Rydberg atoms in a microwave cavity driven by a strong bichromatic field is presented. The resonator is assumed to operate in the low-Q regime. As a consequence, photons emitted by the atoms are dissipated in the cavity walls during the interaction time of the atoms inside the resonator. In this situation the cavity field follows the atomic dynamics adiabatically. The transient behavior of the system is analyzed in terms of Floquet states, and cavity-induced transition rates between these states are calculated for a large range of parameters of the bichromatic field. Narrow resonances are found in the transition rates, in agreement with recent experimental investigations of cavity Rydberg atoms subjected to strong bichromatic driving. We explain in detail the structure of the resonances, which is determined by the frequency-dependent cavity-mode density as well as the Rabi frequencies of the applied fields. The intensity-dependent shifts of the resonance frequencies are also calculated and found to be largely insensitive to inhomogeneous broadening. Finally, the numerical results are compared with experimental observations.

DOI
10.1103/physreva.51.721

Related papers

Decay of bichromatically driven atoms in a cavity

W. Lange, HERBERT WALTHER, G. S. Agarwal

The decay characteristics of two-state Rydberg atoms are investigated in a microwave cavity driven simultaneously by two strong rf fields. Tuning one of the driving fields leads to sharp resonances in the decay rate of the upper atomic level. Their width may become smaller than the cavity linewidth and transit time broadening. We present a theoretical model, interpreting the resonances as cavity-induced decay of Floquet states of the composite atom-field system. The observed phenomena arise from the interplay of cavity-modified Bloch-Siegert shifts and dynamic enhancement of spontaneous emission at single-photon and multiphoton resonances.

Physical Review A•Nov 1, 1994•14 citations

Experiments with a Mesomaser

W. Lange, HERBERT WALTHER

We investigated the dynamically modified interaction between Rydberg atoms and a single mode of a microwave cavity driven by a strong external field.With a monochromatic injected field we observed dynamic suppression of spontaneous emission, when the intracavity Rabi frequency exceeds the cavity linewidth.We discuss a theoretical model using non-Markovian decay rates, which is in excellent agreement with experiment.When a bichromatic driving field is used, enhanced decay reappears in narrow resonance zones as the detunings and injected intensities are varied.These results are interpreted in terms of cavity-modified transitions between the Floquet states of a two-level atom.Striking aspects of these transitions are their small linewidth and an asymmetry between emission and absorption.

Acta Physica Polonica A•Jul 1, 1994•5 citations

Spontaneous emission in a cavity driven by a strong bichromatic field

M. Elk, P. Lambropoulos

We present a theoretical treatment of the problem of a Rydberg atom near-resonantly coupled to a mode in a microwave cavity. We analyze the properties of cavity-induced spontaneous emission in the case of the cavity being driven by one or two near-resonant microwave fields. We find that the spontaneous emission of the atom can be turned off by one strong field (dynamical suppression) and that the addition of a second strong field can break this dynamical suppression and allow the atom to fluoresce in the presence of both fields. The analysis is cast both in a full master-equation treatment and in a Floquet treatment of an atom driven bichromatically in vacuum, the latter allowing for an interpretation of the full calculation. The calculations are performed in the intermediately strong coupling limit, in which both atomic and cavity dynamics must be considered.

Physical Review A•Aug 1, 1994•9 citations

Observation of dynamic suppression of spontaneous emission in a strongly driven cavity

W. Lange, HERBERT WALTHER

We report a Rydberg-atom experiment, demonstrating the dynamic suppression of spontaneous emission in a resonant microwave cavity driven by a resonant external field. If the Rabi frequency of the injected field is larger than the atomic and cavity line widths, the atoms almost completely decouple from the cavity mode due to suppressed field fluctuations at the sideband frequencies of the Mollow triplet. This was achieved with about 100 microwave photons in the cavity. The reduced decay rate is a consequence of non-Markovian dynamics induced by the finite cavity-response time.

Physical Review A•Dec 1, 1993•58 citations

Observation of Two-Photon Decay of Rydberg Atoms in a Driven Cavity

W. Lange, G. S. Agarwal, HERBERT WALTHER

Enhanced two-photon decay has been observed for the first time in an electric dipole transition between two Rydberg levels coupled to a single mode of a strongly driven microwave cavity. This was achieved by dynamically suppressing the otherwise dominant single-photon decay. The experiment is compared with a dressed-state model which treats the external driving field exactly. Cavity-induced emission and absorption rates are calculated to fourth order in the interaction to include two-photon processes, and are found to fit the experimental data well.

Physical Review Letters•Apr 29, 1996•14 citations

Dynamically induced atomic resonance fluorescence and cavity transmission spectra in a driven Jaynes-Cummings system

Hyunchul Nha, Young-Tak Chough, Wonho Jhe +1 more

Spectra of the atomic resonance fluorescence and of the cavity-transmitted light in a driven Jaynes-Cummings system are studied theoretically, where the cavity is driven by a classical field of arbitrary strength. In the regime of strong atom-cavity coupling, anomalous resonance peaks occur at $\ifmmode\pm\else\textpm\fi{}\sqrt{n}{g}^{\ensuremath{'}} (n=2,3,\dots{}),$ with the modified vacuum Rabi frequency ${g}^{\ensuremath{'}},$ both in the atomic fluorescence and the cavity transmission. These peaks as well as the observed shift of the vacuum Rabi splitting are explained in terms of the quasienergy levels induced dynamically by the strong driving field. For a stronger driving field, it is shown that the spectrum of the cavity transmission deviates from that of the atomic fluorescence. In the presence of significant damping, the spectrum of the cavity transmission approaches a singlet structure in the strong driving-field limit, and it is found additionally that a bimodal photon-number distribution, which results in a unique quintuplet spectrum of the atomic fluorescence, does not show up in the cavity transmission.

Physical Review A•May 16, 2001•8 citations
A theoretical study of the dynamics of Rydberg atoms in a microwave cavity driven by a strong bichromatic field is presented. The resonator is assumed to operate in the low-Q regime. As a consequence, photons emitted by the atoms are dissipated in the cavity walls during the interaction time of the atoms inside the resonator. In this situation the cavity field follows the atomic dynamics adiabatically. The transient behavior of the system is analyzed in terms of Floquet states, and cavity-induced transition rates between these states are calculated for a large range of parameters of the bichromatic field. Narrow resonances are found in the transition rates, in agreement with recent experimental investigations of cavity Rydberg atoms subjected to strong bichromatic driving. We explain in detail the structure of the resonances, which is determined by the frequency-dependent cavity-mode density as well as the Rabi frequencies of the applied fields. The intensity-dependent shifts of the resonance frequencies are also calculated and found to be largely insensitive to inhomogeneous broadening. Finally, the numerical results are compared with experimental observations.
The decay characteristics of two-state Rydberg atoms are investigated in a microwave cavity driven simultaneously by two strong rf fields. Tuning one of the driving fields leads to sharp resonances in the decay rate of the upper atomic level. Their width may become smaller than the cavity linewidth and transit time broadening. We present a theoretical model, interpreting the resonances as cavity-induced decay of Floquet states of the composite atom-field system. The observed phenomena arise from the interplay of cavity-modified Bloch-Siegert shifts and dynamic enhancement of spontaneous emission at single-photon and multiphoton resonances.
We investigated the dynamically modified interaction between Rydberg atoms and a single mode of a microwave cavity driven by a strong external field.With a monochromatic injected field we observed dynamic suppression of spontaneous emission, when the intracavity Rabi frequency exceeds the cavity linewidth.We discuss a theoretical model using non-Markovian decay rates, which is in excellent agreement with experiment.When a bichromatic driving field is used, enhanced decay reappears in narrow resonance zones as the detunings and injected intensities are varied.These results are interpreted in terms of cavity-modified transitions between the Floquet states of a two-level atom.Striking aspects of these transitions are their small linewidth and an asymmetry between emission and absorption.
We present a theoretical treatment of the problem of a Rydberg atom near-resonantly coupled to a mode in a microwave cavity. We analyze the properties of cavity-induced spontaneous emission in the case of the cavity being driven by one or two near-resonant microwave fields. We find that the spontaneous emission of the atom can be turned off by one strong field (dynamical suppression) and that the addition of a second strong field can break this dynamical suppression and allow the atom to fluoresce in the presence of both fields. The analysis is cast both in a full master-equation treatment and in a Floquet treatment of an atom driven bichromatically in vacuum, the latter allowing for an interpretation of the full calculation. The calculations are performed in the intermediately strong coupling limit, in which both atomic and cavity dynamics must be considered.
We report a Rydberg-atom experiment, demonstrating the dynamic suppression of spontaneous emission in a resonant microwave cavity driven by a resonant external field. If the Rabi frequency of the injected field is larger than the atomic and cavity line widths, the atoms almost completely decouple from the cavity mode due to suppressed field fluctuations at the sideband frequencies of the Mollow triplet. This was achieved with about 100 microwave photons in the cavity. The reduced decay rate is a consequence of non-Markovian dynamics induced by the finite cavity-response time.
Enhanced two-photon decay has been observed for the first time in an electric dipole transition between two Rydberg levels coupled to a single mode of a strongly driven microwave cavity. This was achieved by dynamically suppressing the otherwise dominant single-photon decay. The experiment is compared with a dressed-state model which treats the external driving field exactly. Cavity-induced emission and absorption rates are calculated to fourth order in the interaction to include two-photon processes, and are found to fit the experimental data well.
Spectra of the atomic resonance fluorescence and of the cavity-transmitted light in a driven Jaynes-Cummings system are studied theoretically, where the cavity is driven by a classical field of arbitrary strength. In the regime of strong atom-cavity coupling, anomalous resonance peaks occur at $\ifmmode\pm\else\textpm\fi{}\sqrt{n}{g}^{\ensuremath{'}} (n=2,3,\dots{}),$ with the modified vacuum Rabi frequency ${g}^{\ensuremath{'}},$ both in the atomic fluorescence and the cavity transmission. These peaks as well as the observed shift of the vacuum Rabi splitting are explained in terms of the quasienergy levels induced dynamically by the strong driving field. For a stronger driving field, it is shown that the spectrum of the cavity transmission deviates from that of the atomic fluorescence. In the presence of significant damping, the spectrum of the cavity transmission approaches a singlet structure in the strong driving-field limit, and it is found additionally that a bimodal photon-number distribution, which results in a unique quintuplet spectrum of the atomic fluorescence, does not show up in the cavity transmission.