Floquet spectroscopy of hydrogenic states: Classical and quantal descriptions

Zhang, Y.; Ciocca, M.; He, Lanhai; Burkhardt, C. E.; Leventhal, J. J.

doi:10.1103/physreva.50.4608

Cited by 11 publications

(7 citation statements)

References 24 publications

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“…A prominent feature of these low-field spectral maps are dropouts of the RF bands, which follow from Bessel-function zeros in the line strength calculated for the bands (see equation (6) in [14], for example). A non-perturbative Floquet treatment has also been employed to describe the effects of AC and DC fields on hydrogenic Rydberg states of sodium in the limit of weak field amplitudes [16]. Weak RF modulations and a lowfield Floquet treatment have also been implemented in work on Stückelberg oscillations involving Rydberg atom pairs [17].…”

Section: Introductionmentioning

confidence: 99%

Radio-frequency-modulated Rydberg states in a vapor cell

2016

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We measure strong radio-frequency (RF) electric fields using rubidium Rydberg atoms prepared in a room-temperature vapor cell as field sensors. Electromagnetically induced transparency is employed as an optical readout. We RF-modulate the 60S 1 2 and 58D 5 2 Rydberg states with 50 and 100 MHz fields, respectively. For weak to moderate RF fields, the Rydberg levels become Stark-shifted, and sidebands appear at even multiples of the driving frequency. In high fields, the adjacent hydrogenic manifold begins to intersect the shifted levels, providing rich spectroscopic structure suitable for precision field measurements. A quantitative description of strong-field level modulation and mixing of S and D states with hydrogenic states is provided by Floquet theory. Additionally, we estimate the shielding of DC electric fields in the interior of the glass vapor cell.

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Section: Introductionmentioning

confidence: 99%

Radio-frequency-modulated Rydberg states in a vapor cell

2016

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“…Similar measurements ͑but not using scaled variables͒ have been made by Zhang et al ͓2,3͔. The absolute square of the Fourier transform of the absorption spectrum is the ''recurrence spectrum''; it has peaks corresponding to the classical actions of closed orbits of the electron, and the height of each peak is called the ''recurrence strength'' of that orbit. This recurrence spectrum was measured with a static field, and then with increasing strengths of the oscillating field, polarized parallel to the static field.…”

Section: Introductionmentioning

confidence: 58%

Scaled-energy Floquet spectroscopy in a strong electric field: A semiquantal calculation of the recurrence spectrum

Kondratovich

Delos

1998

Phys. Rev. A

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We consider a hydrogen atom in a strong static electric field with a weak parallel radio-frequency ͑rf͒ field. We compute the photoabsorption spectrum by calculating the spectrum of Floquet states, including their quasienergies and their oscillator strengths. Our calculation is based upon ''semiquantal'' formulas: we calculate the discrete spectrum of quasienergy states by using a quantum adiabatic approximation combined with semiclassical ͑Bohr-Sommerfeld͒ quantization rules. We express this spectrum in a manner consistent with the method of scaled-variable spectroscopy, and then calculate the Fourier transform. These calculated absorption spectra and recurrence spectra are in good agreement with experiments on Li atoms. Additional approximations show that the recurrence spectrum is approximately equal to the product of the recurrence spectrum in a static field times an envelope function. That envelope function is the Fourier transform of a cluster of sidebands surrounding a progenitor level in the rf field. The resulting formula agrees with the low-frequency limit of a formula obtained from a semiclassical treatment.

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“…It has been known for a long time that the prethreshold structures are due to anticrossings of Floquet states [13,14]i.e., multiphoton transitions. But the present paper is, to our knowledge, the first time that specific multiphoton orders giving rise to experimental prethreshold structures have been assigned explicitly.…”

Section: Introductionmentioning

confidence: 99%

Multiphoton classification of prethreshold structures in measured microwave ionization curves of hydrogen Rydberg atoms

Clausen

Blümel

2004

Phys. Rev. A

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We present a complete multiphoton classification of prethreshold structures in measured microwave ionization data of hydrogen Rydberg atoms. We show that fourth-order quasienergy perturbation theory reproduces the locations of prethreshold structures, thus proving that prethreshold structures are a perturbative effect. Additional prethreshold structures are predicted to occur at field and frequency values, to our knowledge, not yet explored experimentally.

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Floquet spectroscopy of hydrogenic states: Classical and quantal descriptions

Cited by 11 publications

References 24 publications

Radio-frequency-modulated Rydberg states in a vapor cell

Radio-frequency-modulated Rydberg states in a vapor cell

Scaled-energy Floquet spectroscopy in a strong electric field: A semiquantal calculation of the recurrence spectrum

Multiphoton classification of prethreshold structures in measured microwave ionization curves of hydrogen Rydberg atoms

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