A Caltech Library Service

Coherent Excitation of Bound Electron Quantum State With Quantum Electron Wavepackets

Ran, Du and Zhang, Bin and Ianconescu, Reuven and Friedman, Aharon and Scheuer, Jacob and Yariv, Amnon and Gover, Avraham (2022) Coherent Excitation of Bound Electron Quantum State With Quantum Electron Wavepackets. Frontiers in Physics, 10 . Art. No. 920701. ISSN 2296-424X. doi:10.3389/fphy.2022.920701.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


We present a fully quantum model for the excitation of a bound electron based on the “free-electron bound-electron resonant interaction” (FEBERI) scheme. The bound electron is modeled as a quantum two-level system (TLS) at any initial quantum (qubit) state, and the free electron is presented as a pre-shaped quantum electron wavepacket (QEW). In the case that the QEW is short or modulated at optical frequency, the TLS quantum state may be coherently controlled with multiple modulation-correlated QEWs. For this case, we derive the transition probability of the TLS due to interaction with a multi-particle beam based on an analytical approximate solution of the Schrodinger equation that amounts to using Born’s probabilistic interpretation of the quantum electron wavefunction. We verify the credibility of the analytical model at its validity ranges using a fully quantum density matrix computation procedure. It is shown that the transition probability can grow quadratically with the number of correlated QEWs and exhibit Rabi oscillation. The study indicates a possibility of engineering the quantum state of a TLS by utilizing a beam of shaped QEWs.

Item Type:Article
Related URLs:
URLURL TypeDescription
Ran, Du0000-0003-3604-7102
Zhang, Bin0000-0002-3685-7503
Ianconescu, Reuven0000-0002-9134-2377
Friedman, Aharon0000-0003-3786-6118
Scheuer, Jacob0000-0003-2116-6547
Gover, Avraham0000-0002-6132-9462
Additional Information:We acknowledge helpful communications with O. Kfir, Y. M. Pan, and F. J. Garcia de Abajo. DR acknowledges support by the PBC program of the Israel Council of Higher Education. This work was supported by the Israel Science Foundation (ISF) under Grant No. 00010001000, the National Natural Science Foundation of China under Grant No. 12104068, and the Natural Science Foundation of Chongqing under Grant No. cstc2021jcyj-msxmX0684.
Funding AgencyGrant Number
Israel Science Foundation00010001000
National Natural Science Foundation of China12104068
Natural Science Foundation of Chongqingcstc2021jcyj-msxmX0684
Israel Council of Higher EducationUNSPECIFIED
Record Number:CaltechAUTHORS:20221212-796497400.27
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118315
Deposited By: Research Services Depository
Deposited On:13 Jan 2023 15:59
Last Modified:17 Jan 2023 17:24

Repository Staff Only: item control page