Optimization of two-photon excitation by indistinguishable photons in a three-level atom

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Hauptverfasser: Valipour, Masood, Sarbicki, Gniewomir, Słowik, Karolina, Dąbrowska, Anita
Format: Preprint
Veröffentlicht: 2026
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author Valipour, Masood
Sarbicki, Gniewomir
Słowik, Karolina
Dąbrowska, Anita
author_facet Valipour, Masood
Sarbicki, Gniewomir
Słowik, Karolina
Dąbrowska, Anita
contents We investigate the excitation of a three-level ladder-type atom by a unidirectional field with a pair of indistinguishable photons. Starting from an analytical expression for the two-photon absorption probability, we determine the two-photon state that maximizes the population of the upper atomic state at a chosen time and show that, in the limit of an infinitely long pulse, perfect excitation is possible. The optimal state is identified as the time-reversed counterpart of the two-photon state emitted in spontaneous cascade decay. We then compare this ideal excitation strategy with experimentally accessible families of states, including symmetrized Gaussian product states, temporally correlated Gaussian states, and coherent pulses. We analyze how the optimal excitation conditions depend on the ratio of atomic decay rates and on the separation of the atomic transition frequencies. For indistinguishable photons described by Gaussian pulses, quantum interference may shift the maxima of the marginal spectral distribution away from the atomic resonances and qualitatively modify the optimal excitation strategy. Our results clarify the role of indistinguishability and correlations in two-photon absorption and provide guidance for designing realistic excitation schemes in quantum-optical light-matter interfaces .
format Preprint
id arxiv_https___arxiv_org_abs_2604_24560
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Optimization of two-photon excitation by indistinguishable photons in a three-level atom
Valipour, Masood
Sarbicki, Gniewomir
Słowik, Karolina
Dąbrowska, Anita
Quantum Physics
We investigate the excitation of a three-level ladder-type atom by a unidirectional field with a pair of indistinguishable photons. Starting from an analytical expression for the two-photon absorption probability, we determine the two-photon state that maximizes the population of the upper atomic state at a chosen time and show that, in the limit of an infinitely long pulse, perfect excitation is possible. The optimal state is identified as the time-reversed counterpart of the two-photon state emitted in spontaneous cascade decay. We then compare this ideal excitation strategy with experimentally accessible families of states, including symmetrized Gaussian product states, temporally correlated Gaussian states, and coherent pulses. We analyze how the optimal excitation conditions depend on the ratio of atomic decay rates and on the separation of the atomic transition frequencies. For indistinguishable photons described by Gaussian pulses, quantum interference may shift the maxima of the marginal spectral distribution away from the atomic resonances and qualitatively modify the optimal excitation strategy. Our results clarify the role of indistinguishability and correlations in two-photon absorption and provide guidance for designing realistic excitation schemes in quantum-optical light-matter interfaces .
title Optimization of two-photon excitation by indistinguishable photons in a three-level atom
topic Quantum Physics
url https://arxiv.org/abs/2604.24560