Photon–Phonon Atomic Coherence Interaction of Nonlinear Signals in Various Phase Transitions Eu3+: BiPO4

Abstract

We report photon–phonon atomic coherence (cascade- and nested-dressing) interaction from the various phase transitions of Eu3+: BiPO4 crystal. Such atomic coherence spectral interaction evolves from out-of-phase fluorescence to in-phase spontaneous four-wave mixing (SFWM) by changing the time gate. The dressing dip switch and three dressing dips of SFWM result from the strong photon–phonon destructive cross- and self-interaction for the hexagonal phase, respectively. More phonon dressing results in the destructive interaction, while less phonon dressing results in the constructive interaction of the atomic coherences. The experimental measurements of the photon–phonon interaction agree with the theoretical simulations. Based on our results, we proposed a model for an optical transistor (as an amplifier and switch).

Deterministic relation between thermal-phonon dressings and Non-Hermitian multi-Fano interferences in ion-doped microcrystals

“…In our experiment the molar ratio (PO4 resulting in more lattice vibrating phonon [32,33]. The Eu 3+ : NaYF4 (YF4 NaYF4, respectively.…”

Spectral and temporal atomic coherence interaction in Eu3+ : NaYF4 and Eu3+ : BiPO4

“…The ground state can be split into different numbers of fine levels under crystal field effects. 39,40 Moreover, fine levels can be also split into hyperfine levels under the dressing effect. 42 The spectral Autler-Townes (SAT) splitting corresponds to the dressed states |AEi created by photons and phonons, which split the state |G i i into |G i+ i and |G iÀ i as shown in the right part of Fig.…”

“…30 The crystal structure is half monoclinic phase + half hexagonal phase (half HP + half LTMP) when the ratio of PO 4 3À to Eu 3+ + Bi 3+ is 6 : 1, pure hexagonal phase (pure HP) is 0.5 : 1, and pure monoclinic phase (pure LTMP) is 7 : 1. 27,32,39 In this paper, we investigate the influence of the dressing effect on spectral and temporal interactions obtained from the hexagonal phase of Eu 3+ : NaYF 4 and different phases of Eu 3+ : BiPO 4 . The intensity of the interaction under different quantizations is also investigated.…”

“…30 The crystal structure is half monoclinic phase + half hexagonal phase (half HP + half LTMP) when the ratio of PO 4 3− to Eu 3+ + Bi 3+ is 6 : 1, pure hexagonal phase (pure HP) is 0.5 : 1, and pure monoclinic phase (pure LTMP) is 7 : 1. 27,32,39…”

The Asymmetry Observed between the Effects of Photon–Phonon Coupling and Crystal Field on the Fine Structure of Fluorescence and Spontaneous Four-Wave Mixing in Ion-Doped Microcrystals

“…Many studies have revealed a strong coupling of phonons with the magnetic degree of freedom reflected in the renormalization of the phonon self-energy parameters. The low-frequency phonons become sharper, while high-frequency phonons show a broadening attributed to the additional available magnetic damping channels [ 16 ].…”