Modern Quantum Mechanics, Revised Edition

Sakurai, Jun; Commins, Eugene D.

doi:10.1119/1.17781

Cited by 553 publications

(712 citation statements)

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“…The angular frequency ω rabi scales linearly with α, strongly suggesting that the slow oscillations of the variation ofR 3 −R 2 are caused by a coherent quantum electron-ion dynamics analog to the Rabi oscillations. 32 In addition, the linear fitting of (ω adia − ω 0 adia )/α, with ω 0 adia = √ 3, in Fig. 4(a) confirms that the fast oscillations are linked to the highest normal mode of the system (see Sec.…”

Section: B Analog Of Rabi Oscillations In a Coupled Electron-ion Systemmentioning

confidence: 55%

“…In the α > 0 case, the accidental electron-ion degeneracies are lifted and, in analogy with the theory of Rabi oscillations, 25,32 for small values of α one expects to observe periodic transitions among the almost degenerate electron-ion many-body states.…”

Section: Electron-ion Coherence Studied By Ceidmentioning

confidence: 99%

“…In this appendix we show a formal procedure to transform operators from the original Schrödinger picture to a kind of Heisenberg picture 32 analogous to the Lagrangian flow specification of fluid dynamics. 34 SinceP is the generator of the spatial translations 32 IfP andR are time dependent, the combined effect of a momentum translation byP and a position translation byR gives an implicitly time-dependent wave function, e + 1 ı¯R (t)P− 1 ı¯P (t)R (R).…”

Section: Appendix A: Time-dependence Of the Quantum Operators In A Lamentioning

confidence: 99%

“…Thanks to the Ehrenfest theorem, 32 one can write down the exact EOMs for the average momentaP = Tr{ρP} and positionsR = Tr{ρR}:Ṗ…”

Section: B Ehrenfest Dynamicsmentioning

confidence: 99%

“…To simplify the derivation of the EOMs for the matrix coefficients of ρ, one can use a kind of Heisenberg picture 32 in which the basis set does not evolve and the operators acquire an implicit time-dependence through the extra dependence onP andR they get (see Appendix A). In this picture-analogous to the Lagrangian flow specification of fluid dynamics-the Liouville EOM reads [see Eq.…”

Section: F Many-atom Ceid Equations Of Motionmentioning

confidence: 99%

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Analog of Rabi oscillations in resonant electron-ion systems

Stella

Miranda

Horsfield

et al. 2011

The Journal of Chemical Physics

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Observation of longitudinal-optic-phonon-plasmon-coupled mode in n-type AlGaN alloy films Appl. Phys. Lett. 99, 251904 (2011) Band-gap-dependent emissions from conjugated polymers coupled silver nanocap array Appl. Phys. Lett. 99, 233112 (2011) Hot carriers relaxation in highly excited polar semiconductors: Hot phonons versus phonon-plasmon coupling J. Appl. Phys. 110, 113108 (2011) Strain control of orbital polarization and correlated metal-insulator transition in La2CoMnO6 from first principles Appl. Phys. Lett. 99, 202110 (2011) The role of plasmons and interband transitions in the color of AuAl2, AuIn2, and AuGa2 Appl. Phys. Lett. 99, 111908 (2011) Additional information on J. Chem. Phys. Quantum coherence between electron and ion dynamics, observed in organic semiconductors by means of ultrafast spectroscopy, is the object of recent theoretical and computational studies. To simulate this kind of quantum coherent dynamics, we have introduced in a previous article [L. Stella, M. Meister, A. J. Fisher, and A. P. Horsfield, J. Chem. Phys. 127, 214104 (2007)] an improved computational scheme based on Correlated Electron-Ion Dynamics (CEID). In this article, we provide a generalization of that scheme to model several ionic degrees of freedom and many-body electronic states. To illustrate the capability of this extended CEID, we study a model system which displays the electron-ion analog of the Rabi oscillations. Finally, we discuss convergence and scaling properties of the extended CEID along with its applicability to more realistic problems.

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Section: B Analog Of Rabi Oscillations In a Coupled Electron-ion Systemmentioning

confidence: 55%

Section: Electron-ion Coherence Studied By Ceidmentioning

confidence: 99%

Section: Appendix A: Time-dependence Of the Quantum Operators In A Lamentioning

confidence: 99%

“…Thanks to the Ehrenfest theorem, 32 one can write down the exact EOMs for the average momentaP = Tr{ρP} and positionsR = Tr{ρR}:Ṗ…”

Section: B Ehrenfest Dynamicsmentioning

confidence: 99%

Section: F Many-atom Ceid Equations Of Motionmentioning

confidence: 99%

See 3 more Smart Citations

Analog of Rabi oscillations in resonant electron-ion systems

Stella

Miranda

Horsfield

et al. 2011

The Journal of Chemical Physics

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2009

Spins in Optically Active Quantum Dots

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Modified Absorption and Emission Properties Leading to Intriguing Applications in Plasmonic–Excitonic Nanostructures

Kumar

Nisika

Kumar

2020

Advanced Optical Materials

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years, great advances have been made to grow various shaped semiconductor nanocrystals (SNCs) like quantum dots, [7] nanowires, [8] nanorods (NR), [9] and other advanced shaped nanostructures, [10-12] with great precision. However, these semiconductor nanostructures have small extinction cross-sections (even smaller than geometric cross-section), leading to limited absorbance and emission quantum yields. This hinders the progress of semiconductor nanostructures in several areas ranging from clean energy production to various sensing applications. Among many promising solutions, integrating plasmonic nanoparticles (PNPs) with semiconductor nanostructures emerges as the most prominent way to alleviate aforementioned issue. The PNPs have greater extinction cross-section than SNCs (even greater than geometric cross-section), owing to light absorption and scattering by collective and coherent electron oscillations. [13,14] Moreover, these coherent oscillations can couple with electromagnetic wavelengths far greater than particle size, enabling them to guide light to subwavelength scales, thus overcoming diffraction limit. [15] Besides this, proper control over size and shape of plasmonic nanostructures enables engineering of their intrinsic properties to meet the criteria of required application. [16] For instance, by changing the aspect ratio (length to diameter ratio) of nanorods, one can cover wide spectral regions ranging from visible to near-infrared (NIR) regimes. [17] Thus, the integration of plasmonic and semiconductor nanostructures to obtain greater extinction cross-sections and modified properties in these hybrid nanostructures has received great attention from the research community over the past years. The properties of these hybrid nanostructures can be very different from the two nanoconstituents (metal and semiconductor nanostructures), owing to plasmon-exciton interactions. [18-20] Various configurations of metal/semiconductor nanostructures have been synthesized like metallic core/semiconductor shell, [21] semiconductor NR/metal nanoparticles (MNPs), [22] Janus metal/ semiconductor nanostructures, [23] and many others have been reported, [24-26] with varying absorption and emissive properties, targeting high performance applications. The energy transfer between metal-semiconductor nanostructures resulting from integration of PNPs and SNCs Hybrid nanostructures composed of metal and semiconducting nanocrystals have drawn tremendous attention owing to their extraordinary absorption and emission properties. The energy transfer in metal-semiconductor hybrids as a result of synergetic plasmon-exciton interactions leads to numerous applications in the field of solar energy harvesting, photocatalytic reactions, imaging, photonics, sensing, and many more. Various breakthroughs in advanced characterization techniques over the past decade have disclosed several factors affecting the energy transfer processes leading to modified absorption and emission properties in metal-semiconductor hybrids. Herein, various ...

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Modern Quantum Mechanics, Revised Edition

Cited by 553 publications

References 0 publications

Analog of Rabi oscillations in resonant electron-ion systems

Analog of Rabi oscillations in resonant electron-ion systems

References

Modified Absorption and Emission Properties Leading to Intriguing Applications in Plasmonic–Excitonic Nanostructures

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