Tunable non-Hermiticity through reservoir engineering

Xin Meng; Zhiwei Hu; Xingda Lu; Wanxia Cao; Xichang Zhang; Haowei Li; Ying Hu; Wei Yi; Yanhong Xiao

doi:10.1364/PRJ.450166

Journals >Photonics Research >Volume 10 >Issue 9 >Page 2091 > Article

Photonics Research
Vol. 10, Issue 9, 2091 (2022)

Tunable non-Hermiticity through reservoir engineering

Xin Meng¹, Zhiwei Hu¹, Xingda Lu¹, Wanxia Cao¹, Xichang Zhang¹, Haowei Li², Ying Hu^3、4, Wei Yi^2、5, and Yanhong Xiao^3、4、*

Author Affiliations

¹Department of Physics, State Key Laboratory of Surface Physics and Key Laboratory of Micro and Nano Photonic Structures (Ministry of Education), Fudan University, Shanghai 200433, China

²CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China

³State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan 030006, China

⁴Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China

⁵CAS Center For Excellence in Quantum Information and Quantum Physics, Hefei 230026, China

show less

DOI: 10.1364/PRJ.450166 Cite this Article Set citation alerts

Xin Meng, Zhiwei Hu, Xingda Lu, Wanxia Cao, Xichang Zhang, Haowei Li, Ying Hu, Wei Yi, Yanhong Xiao. Tunable non-Hermiticity through reservoir engineering[J]. Photonics Research, 2022, 10(9): 2091 Copy Citation Text

EndNote(RIS)

BibTex

Plain Text

show less

Abstract

We experimentally demonstrate tunable non-Hermitian coupling in an atomic-vapor cell where atomic coherences in different optical channels are dissipatively coupled through atomic motion. Introducing a far-detuned light wall in the reservoir between the optical channels, we decorate the inter-channel coupling term so that it can be switched from dissipative to coherent. The tunable non-Hermiticity is then confirmed through measurements of the inter-channel light transport where the light-wall-induced phase shift is directly probed. Based on the tunable non-Hermiticity, we further discuss an exemplary scheme in which our setup can serve as a building block for the experimental study of exotic non-Hermitian criticality.

{\begin{matrix} \begin{array}{l} {\dot{ρ}}_{12}^{(1)} = - γ_{12}^{'} ρ_{12}^{(1)} + Γ_{c} ρ_{12}^{(2)} - \frac{Ω_{c}^{(1) *} Ω_{p}^{(1)}}{γ_{23}}, \\ {\dot{ρ}}_{12}^{(2)} = - γ_{12}^{'} ρ_{12}^{(2)} + Γ_{c} ρ_{12}^{(1)} - \frac{Ω_{c}^{(2) *} Ω_{p}^{(2)}}{γ_{23}}, \end{array} \end{matrix}

(1)

View in Article

\begin{matrix} \hat{H} = ℏ (g {\hat{a}}_{1}^{†} {\hat{a}}_{2} - g^{*} {\hat{a}}_{2}^{†} {\hat{a}}_{1}) e^{i θ_{0}}, \end{matrix}

(2)

View in Article

\hat{H} = δ {\hat{a}}^{†} \hat{a} + g_{0} e^{i θ_{0}} {\hat{b}}^{†} \hat{a} - g_{0} e^{i θ_{0}} {\hat{a}}^{†} \hat{b} + g_{1} {\hat{c}}^{†} \hat{b} + g_{1} {\hat{b}}^{†} \hat{c},

(3)

View in Article

{\begin{matrix} \begin{array}{l} {\dot{ρ}}_{12}^{(1)} = - γ_{12}^{'} ρ_{12}^{(1)} + Γ_{c} ρ_{12}^{(2)} - \frac{Ω_{c}^{(1) *} Ω_{p}^{(1)}}{γ_{23}}, \\ {\dot{ρ}}_{12}^{(2)} = - γ_{12}^{'} ρ_{12}^{(2)} + Γ_{c} ρ_{12}^{(1)} - \frac{Ω_{c}^{(2) *} Ω_{p}^{(2)}}{γ_{23}} . \end{array} \end{matrix}

(4)

View in Article

{\begin{matrix} \begin{array}{l} ρ_{12}^{(1)} = \frac{- \frac{Ω_{c}^{(1) *} Ω_{p}^{(1)}}{γ_{23}} γ_{12}^{'} - \frac{Ω_{c}^{(2) *} Ω_{p}^{(2)}}{γ_{23}} Γ_{c}}{γ_{12}^{' 2} - Γ_{c}^{2}}, \\ ρ_{12}^{(2)} = \frac{- \frac{Ω_{c}^{(2) *} Ω_{p}^{(2)}}{γ_{23}} γ_{12}^{'} - \frac{Ω_{c}^{(1) *} Ω_{p}^{(1)}}{γ_{23}} Γ_{c}}{γ_{12}^{' 2} - Γ_{c}^{2}} . \end{array} \end{matrix}

(5)

View in Article

{\begin{matrix} \begin{array}{l} \frac{d E^{(1)}}{d t} = \frac{N c \bar{k} μ_{0}^{2}}{2 ℏ V ϵ_{0} γ_{23}} (- E^{(1)} γ^{'} + E^{(2)} \frac{Γ_{c}}{γ_{23}} \frac{Ω_{c}^{(1)} Ω_{c}^{(2) *}}{γ_{12}^{' 2} - Γ_{c}^{2}}), \\ \frac{d E^{(2)}}{d t} = \frac{N c \bar{k} μ_{0}^{2}}{2 ℏ V ϵ_{0} γ_{23}} (- E^{(2)} γ^{'} + E^{(1)} \frac{Γ_{c}}{γ_{23}} \frac{Ω_{c}^{(2)} Ω_{c}^{(1) *}}{γ_{12}^{' 2} - Γ_{c}^{2}}), \end{array} \end{matrix}

(6)

View in Article

\begin{matrix} \hat{H} = ℏ (g {\hat{a}}_{1} {\hat{a}}_{2}^{†} - g^{*} {\hat{a}}_{2}^{†} {\hat{a}}_{1}) e^{i θ_{0}}, \end{matrix}

(7)

View in Article

{\begin{matrix} \frac{d E^{(1)}}{d t} = - γ^{''} E^{(1)} + Γ_{c}^{''} e^{i θ_{0}} E^{(2)}, \\ \frac{d E^{(2)}}{d t} = - γ^{''} E^{(2)} + Γ_{c}^{'' *} e^{i θ_{0}} E^{(1)} . \end{matrix}

(8)

View in Article

{\begin{matrix} \begin{array}{l} E_{p, out}^{(1)} = (1 - \frac{{γ^{'}}^{'} L}{c}) E_{p, in}^{(1)} (t), \\ E_{p, out}^{(2)} = \frac{Γ_{c}^{'' *} e^{i θ_{0}} L}{c} E_{p, in}^{(1)} (t), \end{array} \end{matrix}

(9)

View in Article

{\begin{matrix} I_{1} (t) = | (1 - \frac{γ^{''} L}{c}) E_{p, in}^{(1)} (t) + E_{c}^{(1)} |^{2}, \\ I_{2} (t) = | \frac{Γ_{c}^{{''}^{*}} e^{i θ_{0}} L}{c} E_{p, in}^{(1)} (t) + E_{c}^{(2)} |^{2} . \end{matrix}

(10)

View in Article

{\begin{matrix} \begin{array}{l} E_{p, out}^{(1)} = (1 - \frac{γ^{''} L}{c}) E_{p, in}^{(1)} (t) + \frac{Γ_{c}^{''} e^{i θ_{0}} L}{c} E_{p, in}^{(2)}, \\ E_{p, out}^{(2)} = (1 - \frac{γ^{''} L}{c}) E_{p, in}^{(2)} (t) + \frac{Γ_{c}^{'' *} e^{i θ_{0}} L}{c} E_{p, in}^{(1)} (t) . \end{array} \end{matrix}

(11)

View in Article

{\begin{matrix} \begin{array}{l} I_{1} (t) \propto {| 1 + β^{'} e^{i [ϕ_{p}^{(1)} (t) - ϕ_{c}^{(1)} + ϕ_{c}^{(2)} - ϕ_{p}^{(2)} - θ_{0}]} |}^{2}, \\ I_{2} (t) \propto {| 1 + β^{'} e^{i [ϕ_{p}^{(1)} (t) - ϕ_{c}^{(1)} + ϕ_{c}^{(2)} - ϕ_{p}^{(2)} + θ_{0}]} |}^{2} . \end{array} \end{matrix}

(12)

View in Article

Xin Meng, Zhiwei Hu, Xingda Lu, Wanxia Cao, Xichang Zhang, Haowei Li, Ying Hu, Wei Yi, Yanhong Xiao. Tunable non-Hermiticity through reservoir engineering[J]. Photonics Research, 2022, 10(9): 2091

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