Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Journal of Chemical Physics

Electron-Phonon Coupling via non-Markovian Process in Nd∶YAG

Wang Ganquan, DeChang Dai, Qi Luo, YiJing Yan, Zhou Jianying

Published Jan 1, 2005• 1 citation
Publisher

Abstract

The 4f electronic transition accompanied by electron-phonon interaction was studied through the Brownian oscillator model in Nd: YAG. The expression of electron-phonon coupling was derived, the excitation spectroscopies of different electron-phonon coupling constants were calculated and the results indicated the absorption peak of phonon in two sides of electronic peak is produced by electron-phonon coupling. The stronger electron-phonon coupling, the more phonon peaks. Through excitation spectroscopy simulation, the electron-phonon coupling constant and phonon frequency were obtained. From these data, the theoretical time resolved coherent spectroscopy was calculated and is good agreement with experiment result. It also indicated that the electron-phonon coupling in rare earth ion's 4f electronic transition is weak because of the smaller constant of electron-phonon coupling compared with that of semiconductor.

DOI
10.1088/1674-0068/18/3/303-307

Related papers

Theory and experiment of coherent wave packet dynamics in rare earth solids: Absorption spectrum vs femtosecond fringe-resolved interferogram

Qi Luo, D. C. Dai, G. Q. Wang +5 more

Coherent dynamic property of neodymium yttrium aluminum garnet (Nd:YAG) crystal at 77 K is studied via the conventional absorption, the femtosecond fringe-resolved wave packet interferometry, and the related difference-phase spectrum. The recorded interferogram exhibits beatings in subpicosecond time scale arising from the interferences among various weakly split 4f-electronic states and the coupled vibronic optical phonon sidebands. The electron–phonon coupling in Nd:YAG can be well described by multiple Brownian oscillators model involving in each individual electronic transition. The parameters for characterizing material coherence and relaxation are determined via the theoretical modelings of both the frequency and the time-domain experimental signals.

The Journal of Chemical Physics•Jan 22, 2001•8 citations

Excitation mechanisms and optical properties of rare-earth ions in semiconductors

Stefan Schmitt-Rink, Chandra Mohan Varma, Anthony F. J. Levi

The optical activity of rare-earth ions in semiconductors is discussed taking into account the large 4f-level correlation energy. In addition to crystal-field effects, three many-body excitation mechanisms of 4f-4f transitions are identified; coherent or incoherent energy transfer via electron-hole pairs and nonequilibrium electron excitation. The first two give rise to novel nonlinear optical effects, while the last promises a simple means of achieving optical gain.

Physical Review Letters•May 27, 1991•75 citations

Pre-selection of optical transitions in rare-earth ions in crystals perspective for quantum information processing

Tasoltan T. Basiev, Irina Basieva, А. А. Корниенко +3 more

A systematic analysis of decoherence rates due to electron–phonon interactions for optical transitions of rare-earth dopant ions in crystals is presented in the frame of the point charge model. For this model, the large value of any one of the matrix elements of the unit tensor operator U ( k ) of rank k for transitions within the 4f-electronic configuration, viz. U2, U4 or U6, is enough to ensure the strong optical transition between different levels, while the Stark–Stark transitions within the multiplet can be characterized by the matrix element U2 alone, the influence of elements U4, U6 being of much smaller order of magnitude and neglected. The circumstance that exactly such Stark–Stark transitions within the multiplet define the efficiency of electron–phonon interaction and, consequently, the decoherence rate (except for the case of lowest, less than approximately 2–4 K, temperatures), enables selection of optical transitions which are strong enough and at the same time are characterized by relatively small decoherence rates. Correspondingly, these optical transitions, provided that they lie in an appropriate spectral range and the gap to the nearest neighboring energy level is large enough (>500 cm−1) to prevent eventual fast phonon-assisted relaxation, should be considered as prospective for subsequent use in quantum informatics processing and communication. The list of such pre-selected transitions is given; the applicability area and limitations of our approach are discussed.

Journal of Modern Optics•Dec 9, 2011•8 citations

Bright and dark resonances in Er:YAG: generation, measurement and coherent control

Lin Luo, L. Chen, D.C. Dai +4 more

Summary form only given. Rare earth ions (RE) with optically activated 4f electrons present sharp spectral transitions in condensed matter due to the shielding of the 4f electrons by the outer 5s5p electrons. The quantum dot nature of RE makes them ideal for the study of condensed matter structures and dynamics. In this communication, we report on the fluorescence excitation spectra and the coherent femtosecond (fs) dynamics regarding the single ion and pair-transitions in Er:YAG at 77 K. We further apply fs interferometric techniques to control the single ion and ion-pairs emissions.

Conference on Lasers and Electro-Optics•Aug 29, 2005•0 citations

MODELING RESONANT ELECTRON-PHONON INTERACTION FOR RARE EARTHS IONS IN LASER CRYSTALS: Victor CIOBU Universitatea de Stat din Moldova

USM ADMIN

Effects of the electron-phonon interaction for rare earth ions (RE) in crystals are multi-phonon relaxation, vibronic bands, band broadening depending on temperature or non-resonant energy transfer assisted by phonons. Since the Stark splitting for RE ions are of the order of lattice phonon energy, it could arise and other related effects, especially in the approximation of quasi-resonant processes. If the distance between two Stark levels is close to the region of resonance phonon spectrum, then electron-phonon interaction creates mixed vibronic states, which causes changes in the optical spectral lines (widening, asymmetry, splitting or displacement). The modeling of interaction of the electron-phonon resonance for RE ion Yb3+ in three different laser crystals is the purpose of this paper. Keywords: electron-phonon interaction, rare earth ions, adaptive application.

Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice)•Mar 23, 2016•0 citations

Off-diagonal electron-phonon coupling effects on two-level system dynamics

Leonard Ruocco, Mona Berciu, Jeff F. Young

Electromagnetically coupled two-level systems play a central role in several condensed matter components being considered for quantum information processing applications. If the states couple to phonon excitations, their electromagnetic response is altered via phonon-assisted transitions and lifetime broadening. The former has been treated extensively for a number of specific two-level systems (e.g., excitons in artificial quantum dots, localized states associated with impurities or defects, etc.), but the latter has received less attention. Here we study a microscopic model of the dipole transition of a two-level system under the influence of both diagonal and nondiagonal interactions with a bath of phonons. Our results capture both the influence of the frequency distribution of phonons on the relative spectral weight of the zero-phonon transition and the phonon sidebands, and the broadening of the zero-phonon line due to nondiagonal electron-phonon coupling. We use a formalism that includes non-Markovian effects related to the feedback mechanism between the two-level system and the phonon bath. For simplified forms of the phonon spectral functions we provide analytical expressions up to second order in the coupling strength that demonstrate the importance of including both forms of electron-phonon coupling in studies of these systems. Our formalism can be generalized to higher orders of coupling and for realistic phonon spectral functions.

Physical review. B./Physical review. B•Jun 28, 2022•0 citations
The 4f electronic transition accompanied by electron-phonon interaction was studied through the Brownian oscillator model in Nd: YAG. The expression of electron-phonon coupling was derived, the excitation spectroscopies of different electron-phonon coupling constants were calculated and the results indicated the absorption peak of phonon in two sides of electronic peak is produced by electron-phonon coupling. The stronger electron-phonon coupling, the more phonon peaks. Through excitation spectroscopy simulation, the electron-phonon coupling constant and phonon frequency were obtained. From these data, the theoretical time resolved coherent spectroscopy was calculated and is good agreement with experiment result. It also indicated that the electron-phonon coupling in rare earth ion's 4f electronic transition is weak because of the smaller constant of electron-phonon coupling compared with that of semiconductor.
Coherent dynamic property of neodymium yttrium aluminum garnet (Nd:YAG) crystal at 77 K is studied via the conventional absorption, the femtosecond fringe-resolved wave packet interferometry, and the related difference-phase spectrum. The recorded interferogram exhibits beatings in subpicosecond time scale arising from the interferences among various weakly split 4f-electronic states and the coupled vibronic optical phonon sidebands. The electron–phonon coupling in Nd:YAG can be well described by multiple Brownian oscillators model involving in each individual electronic transition. The parameters for characterizing material coherence and relaxation are determined via the theoretical modelings of both the frequency and the time-domain experimental signals.
A systematic analysis of decoherence rates due to electron–phonon interactions for optical transitions of rare-earth dopant ions in crystals is presented in the frame of the point charge model. For this model, the large value of any one of the matrix elements of the unit tensor operator U ( k ) of rank k for transitions within the 4f-electronic configuration, viz. U2, U4 or U6, is enough to ensure the strong optical transition between different levels, while the Stark–Stark transitions within the multiplet can be characterized by the matrix element U2 alone, the influence of elements U4, U6 being of much smaller order of magnitude and neglected. The circumstance that exactly such Stark–Stark transitions within the multiplet define the efficiency of electron–phonon interaction and, consequently, the decoherence rate (except for the case of lowest, less than approximately 2–4 K, temperatures), enables selection of optical transitions which are strong enough and at the same time are characterized by relatively small decoherence rates. Correspondingly, these optical transitions, provided that they lie in an appropriate spectral range and the gap to the nearest neighboring energy level is large enough (>500 cm−1) to prevent eventual fast phonon-assisted relaxation, should be considered as prospective for subsequent use in quantum informatics processing and communication. The list of such pre-selected transitions is given; the applicability area and limitations of our approach are discussed.
Summary form only given. Rare earth ions (RE) with optically activated 4f electrons present sharp spectral transitions in condensed matter due to the shielding of the 4f electrons by the outer 5s5p electrons. The quantum dot nature of RE makes them ideal for the study of condensed matter structures and dynamics. In this communication, we report on the fluorescence excitation spectra and the coherent femtosecond (fs) dynamics regarding the single ion and pair-transitions in Er:YAG at 77 K. We further apply fs interferometric techniques to control the single ion and ion-pairs emissions.
Effects of the electron-phonon interaction for rare earth ions (RE) in crystals are multi-phonon relaxation, vibronic bands, band broadening depending on temperature or non-resonant energy transfer assisted by phonons. Since the Stark splitting for RE ions are of the order of lattice phonon energy, it could arise and other related effects, especially in the approximation of quasi-resonant processes. If the distance between two Stark levels is close to the region of resonance phonon spectrum, then electron-phonon interaction creates mixed vibronic states, which causes changes in the optical spectral lines (widening, asymmetry, splitting or displacement). The modeling of interaction of the electron-phonon resonance for RE ion Yb3+ in three different laser crystals is the purpose of this paper. Keywords: electron-phonon interaction, rare earth ions, adaptive application.
Electromagnetically coupled two-level systems play a central role in several condensed matter components being considered for quantum information processing applications. If the states couple to phonon excitations, their electromagnetic response is altered via phonon-assisted transitions and lifetime broadening. The former has been treated extensively for a number of specific two-level systems (e.g., excitons in artificial quantum dots, localized states associated with impurities or defects, etc.), but the latter has received less attention. Here we study a microscopic model of the dipole transition of a two-level system under the influence of both diagonal and nondiagonal interactions with a bath of phonons. Our results capture both the influence of the frequency distribution of phonons on the relative spectral weight of the zero-phonon transition and the phonon sidebands, and the broadening of the zero-phonon line due to nondiagonal electron-phonon coupling. We use a formalism that includes non-Markovian effects related to the feedback mechanism between the two-level system and the phonon bath. For simplified forms of the phonon spectral functions we provide analytical expressions up to second order in the coupling strength that demonstrate the importance of including both forms of electron-phonon coupling in studies of these systems. Our formalism can be generalized to higher orders of coupling and for realistic phonon spectral functions.