Effect of the nearby levels on the resonance fluorescence spectrum of the atom–field interaction

Villanueva-Vergara, L.; Soto‐Eguibar, Francisco; Moya‐Cessa, H.

doi:10.1140/epjp/s13360-020-00632-0

Cited by 3 publications

(6 citation statements)

References 13 publications

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“…We consider that the field is approximately tuned to the transition frequency between the levels |g⟩ and |e⟩ of the atom, but detuned from the nearby levels |j⟩ (AC Stark effect). The Hamiltonian that describes this system is [9,12,15,21]…”

Section: Ac Stark Shift Hamiltonianmentioning

confidence: 99%

“…we use χ = 0.5, a value that falls within the validity range of the assumed approximation for the Hamiltonian (1) [15], and we set g = 1. We can observe that for values of ∆ > 0, i.e., when the frequency of the atom is higher than that of the field, the lineshapes rapidly decay towards the initial state of the atom, i.e., there are no transitions between the two levels, regardless of the value of the parameter r. On the other hand, for values of ∆ < 0, we notice that as we increase the negative values of r in ascending order, the lineshapes become distorted and approach the initial state of the atom more rapidly, due to the widening of the probability distribution as the values of r decrease, as shown in Figure 2a.…”

Section: Squeezed Coherent Statesmentioning

confidence: 99%

“…The effects of nearby levels can also be observed in the resonance fluorescence spectrum, where the Stark shift created by such levels produces displacements of the resonance fluorescence peaks, because of an induced effective detuning [15,16]. In fact, it has been shown that the AC Stark effect can influence the transfer of quantum entangled information [17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Effects of Squeezing on the Power Broadening and Shifts of Micromaser Lineshapes

Hernández-Sánchez,

Ramos-Prieto,

Soto-Eguibar

et al. 2024

Photonics

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AC Stark shifts have an impact on the dynamics of atoms interacting with a near-resonant quantized single-mode cavity field, which is relevant to a single atom micromaser. In this study, we demonstrate that, when the field is in a squeezed coherent state, atomic lineshapes are highly sensitive to the squeezing parameter. Furthermore, we show that, when considering a superposition of squeezed coherent states with equal amplitude, the displacement of the transition lines depends significantly, not only on the squeezing parameter, but also on its sign.

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Section: Ac Stark Shift Hamiltonianmentioning

confidence: 99%

Section: Squeezed Coherent Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of Squeezing on the Power Broadening and Shifts of Micromaser Lineshapes

Hernández-Sánchez,

Ramos-Prieto,

Soto-Eguibar

et al. 2024

Photonics

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“…Suponemos que el campo está aproximadamente en sintonía con la frecuencia de transición entre los niveles |g y |e del átomo, pero fuera de sintonía con los niveles cercanos |j (efecto AC Stark). El Hamiltoniano que describe este sistema se expresa como [22,23,29,30]…”

Section: Modelo De Jaynes-cummings Y Estados Virtuales No Resonantesunclassified

“…Sin embargo, esta diferencia en las formas de línea (cuando el átomo se encuentra en el estado base o excitado) no permite discernir entre estados pares e impares cuando el número promedio de fotones es n > 4. La razón de esta imposibilidad es que el rango de validez del Hamiltoniano (1) está limitado a valores de χ menores que 1 [30], y a que para un numero promedio de fotones lo suficientemente grande, la distribución de probabilidad para los estados coherentes pares e impares son aproximadamente indistinguibles.…”

Section: Estados Gato De Schrödingerunclassified

Discriminando superposiciones de estados coherentes mediante formas de línea

Hernández Sánchez,

Ramos Prieto,

Soto Eguibar

et al. 2024

Rev. Mex. Fís.

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Este artículo investiga el efecto de niveles cercanos no resonantes en las líneas espectrales de los átomos que interactúan con un campo electromagnético. Específicamente, examinamos el efecto AC Stark que ocurre cuando la frecuencia del campo coincide con la frecuencia de transición entre dos niveles más bajos y el campo tiene un número promedio pequeño de fotones (|α| 2 < 4). Nuestra investigación demuestra que los cambios en la forma de la línea espectral se pueden utilizar para distinguir entre los estados de gato de Schrödinger con fases opuestas en π, a saber, los estados |αi + |−αi y |αi − |−αi. Descriptores: Estados gato de Schrödinger; efecto AC stark; formas de las líneas; espectrales, modelo de Jaynes-Cummings. This article investigates the effect of near non-resonant levels on the spectral lines of atoms interacting with an electromagnetic field. Specifically, we examine the AC Stark effect that occurs when the field frequency matches the transition frequency between two lower levels and the field has a small average number of photons (|α| 2 < 4). Our research demonstrates that the changes in spectral line shape can be used to distinguish between Schrödinger cat states with opposite phases in π, namely, the states |αi + |−αi and |αi − |−αi.

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Effect of the oscillations in the photon distribution of a squeezed field on the fluorescence spectrum of the Jaynes–Cummings model

2020

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Following the scheme proposed by Eberly and Wodkiewicz for the physical spectrum, we calculate the fluorescence spectrum of the Jaynes–Cummings model when the two-level system interacts with an electromagnetic field that initially is in a squeezed coherent state. We show the appearing of “ringing lines” in the fluorescence spectrum that are echoes of the oscillations in the photon distribution of the compressed field. These ringing lines may be a similar effect as the ringing revivals of the atomic inversion that are a signature of squeezed states.

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Effect of the nearby levels on the resonance fluorescence spectrum of the atom–field interaction

Cited by 3 publications

References 13 publications

Effects of Squeezing on the Power Broadening and Shifts of Micromaser Lineshapes

Effects of Squeezing on the Power Broadening and Shifts of Micromaser Lineshapes

Discriminando superposiciones de estados coherentes mediante formas de línea

Effect of the oscillations in the photon distribution of a squeezed field on the fluorescence spectrum of the Jaynes–Cummings model

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