A Caltech Library Service

Quantum Atomic Arrays: Fractional Filling and Trapping

Zhang, Pengfei (2021) Quantum Atomic Arrays: Fractional Filling and Trapping. . (Unpublished)

[img] PDF - Submitted Version
Creative Commons Attribution.


Use this Persistent URL to link to this item:


Quantum emitters, in particular, atomic arrays with subwavelength lattice constant, have been proposed to be an ideal platform for study the interplay between photons and electric dipoles. Previous theoretical studies are based on spin models, where each site is occupied by a point-like atom. In this work, motivated by the recent experiment [1], we develop a full quantum treatment using annihilation and creation operator of atoms in deep optical lattices. We use a diagrammatic approach on the Keldysh contour to derive the cooperative scattering of the light and obtain the general formula for the S matrix. We apply our formulism to study two effects beyond previous treatment with spin-operators, the effect of fractional filling and trapping. Both effects can lead to imperfectness of atomic mirrors. For the fractional filling case, we find the cooperative linewidth is linear in filling fraction n. When there is a mismatch between the trapping potentials for atoms in the ground state and the excited state, multiple resonances can appear in the response function. Our results are consistent with existing experiments.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Zhang, Pengfei0000-0002-7408-0918
Additional Information:Attribution 4.0 International (CC BY 4.0) We especially thank Yu Chen and Jianwen Jie for helpful discussions. P.Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Record Number:CaltechAUTHORS:20210831-203952905
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110661
Deposited By: George Porter
Deposited On:01 Sep 2021 14:26
Last Modified:01 Sep 2021 14:26

Repository Staff Only: item control page