Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons

Luqi Yuan; Avik Dutt; Mingpu Qin; Shanhui Fan; Xianfeng Chen

doi:10.1364/PRJ.396731

Journals >Photonics Research >Volume 8 >Issue 9 >Page B8 > Article

Photonics Research
Vol. 8, Issue 9, B8 (2020)

Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons

Luqi Yuan^1、*, Avik Dutt², Mingpu Qin³, Shanhui Fan^2、5, and Xianfeng Chen^1、4、6

Author Affiliations

¹State Key Laboratory of Advanced Optical Communication Systems and Networks, School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

²Department of Electrical Engineering, and Ginzton Laboratory, Stanford University, Stanford, California 94305, USA

³School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

⁴Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, Jinan 250358, China

⁵e-mail: shanhui@stanford.edu

⁶e-mail: xfchen@sjtu.edu.cn

show less

DOI: 10.1364/PRJ.396731 Cite this Article Set citation alerts

Luqi Yuan, Avik Dutt, Mingpu Qin, Shanhui Fan, Xianfeng Chen. Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons[J]. Photonics Research, 2020, 8(9): B8 Copy Citation Text

EndNote(RIS)

BibTex

Plain Text

show less

(a) A ring resonator, composed by two types of single-mode waveguides A and B, undergoing the dynamic modulation. (b) A ring under the dynamic modulation supports a synthetic lattice along the frequency dimension. (c) The ring is coupled with the through-port and drop-port waveguides.

Fig. 1. (a) A ring resonator, composed by two types of single-mode waveguides A and B, undergoing the dynamic modulation. (b) A ring under the dynamic modulation supports a synthetic lattice along the frequency dimension. (c) The ring is coupled with the through-port and drop-port waveguides.

Download full size | View in the Article

Four-wave-mixing processes in a ring with a third-order nonlinear susceptibility including the hyper-parametric processes (SPM, XPM, and others) and the THG process.

Fig. 2. Four-wave-mixing processes in a ring with a third-order nonlinear susceptibility including the hyper-parametric processes (SPM, XPM, and others) and the THG process.

Download full size | View in the Article

Fig. 3. (a) A general four-wave-mixing process in a waveguide with the third-order susceptibility χ(3). (b) The plot of ΔI∝sinc2(ΔkL) showing the effect of the phase mismatching.

Download full size | View in the Article

Fig. 4. Normalized distributions of the two-photon correlation probability Pm,n. (a)–(c) The input photon pair is |ϕ(−4,4)⟩ with g=0, g=2J, and g=10J, respectively. (d)–(f) The input photon pair is |ϕ(−15,−15)⟩ with g=0, g=2J, and g=10J, respectively. Positions inside two dashed lines correspond to Pm,m.

Download full size | View in the Article

Luqi Yuan, Avik Dutt, Mingpu Qin, Shanhui Fan, Xianfeng Chen. Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons[J]. Photonics Research, 2020, 8(9): B8

Download Citation

EndNote(RIS)

BibTex

Plain Text

Set citation alerts for the article

Tools

Set citation alerts for the article

Save the article for my favorites

Paper Information