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Springer theses

Phonons and Photons

Vivishek Sudhir

Published Nov 22, 2017• 0 citations
Publisher
DOI
10.1007/978-3-319-69431-3_3

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The frequency dependence of phonon-photon double-quantum transitions in MgO:Fe+2{\mathrm{Fe}}^{+2}Fe+2 was investigated by using 8.7-GHz photons to detect 9.3-, 4.7-, and 3.1-GHz phonons. The transition probability for simultaneous absorption of both a phonon and a photon markedly decreased with decreasing phonon frequency. In the case of 4.7- and 3.1-GHz phonons, a new type of phonon-photon transition was observed.
Antibunching and entanglement play important roles in quantum information processing as antibunching is an essential ingredient for the production of single photons (phonons) and entanglement is a crucial resource for quantum communication and metrology. In this paper, we propose a atom-photon-phonon (tripartite) interaction in a hybrid cavity-atom-mechanics system, and show that both photon and phonon antibunching can be observed simultaneously under the resonant atomic driving. More importantly, the generated single photons and phonons are strongly correlated and entangled with each other, i.e., single entangled photon-phonon pairs are generated via the atom-photon-phonon interaction. The generation of single entangled photon-phonon pairs is the first step to implement entanglement-based quantum state transfer, which is essential for connecting mechanical and optical systems to build hybrid quantum networks.
We study the photon and phonon statistics of a qubit-plasmon-phonon hybrid system in the ultrastrong-coupling regime. The introduced qubit coupling causes parity-conserving and -nonconserving situations. We employ an analytic approximation approach for the parity-conserving case to reveal the statistical behaviors of photons and phonons. It indicates that both photons and phonons show strong antibunching at the same frequency. Even though the bunching properties of photons and phonons occupy the dominant regions of the considered frequencies, phonons tend to weak antibunching within the photonic strong-bunching area. In contrast, one can find that the configurations of correlation functions for both photons and phonons in the parity-conserving case are squeezed towards the central frequency by parity breaking, which directly triggers the reverse statistical behaviors of the different parties in the low-frequency regions and the strong-bunching properties in other frequency regions. The photon-phonon cross-correlation function also demonstrates similar parity-induced differences, indicating that the nonconserving parity induces the photon-phonon bunching behavior. We finally analyze the delayed second-order correlation function with different driving frequencies, which illustrates striking oscillations revealing the occurrence of simultaneous multiple excitations.