Switch and Phase Shift of Photon Polarization Qubits via Double Rydberg Electromagnetically Induced Transparency
Abstract: We propose and analyze a scheme for manipulating the propagation of single photon pulses with two polarization components in a Rydberg atomic gas via double electromagnetically induced transparency. We show that by storing a gate photon in a Rydberg state a deep and tunable potential for a photon polarization qubit can be achieved based on strong Rydberg interaction. We also show that the scheme can be used to realize all-optical switch in dissipation regime and generate a large phase shift in dispersion regime for the photon polarization qubit. Moreover, we demonstrate that such a scheme can be utilized to detect weak magnetic fields. The results reported here are not only beneficial for understanding the quantum optical property of Rydberg atomic gases, but also promising for designing novel devices for quantum information processing.
- The two polarization components has no spatial separation during propagation. The separation plotted in the figure is used to indicate the fact that the photon qubit consists of two polarization components.
- The radius of the Rydberg blockade sphere rbsubscript𝑟𝑏r_{b}italic_r start_POSTSUBSCRIPT italic_b end_POSTSUBSCRIPT ≡(|C6||d31|/|Ωc|2)1/6absentsuperscriptsubscript𝐶6subscript𝑑31superscriptsubscriptΩ𝑐216\equiv(|C_{6}||d_{31}|/|\Omega_{c}|^{2})^{1/6}≡ ( | italic_C start_POSTSUBSCRIPT 6 end_POSTSUBSCRIPT | | italic_d start_POSTSUBSCRIPT 31 end_POSTSUBSCRIPT | / | roman_Ω start_POSTSUBSCRIPT italic_c end_POSTSUBSCRIPT | start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT ) start_POSTSUPERSCRIPT 1 / 6 end_POSTSUPERSCRIPT is about 8μm8𝜇m8\,\mu{\rm m}8 italic_μ roman_m. To make the (1+1)-dimensional model be valid, the condition πrb2>A0𝜋superscriptsubscript𝑟𝑏2subscript𝐴0\pi r_{b}^{2}>A_{0}italic_π italic_r start_POSTSUBSCRIPT italic_b end_POSTSUBSCRIPT start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT > italic_A start_POSTSUBSCRIPT 0 end_POSTSUBSCRIPT must be satified.
- J. Zhu and G. Huang, “Quantum squeezing of slow-light dark solitons via electromagnetically induced transparency,” Phys. Rev. A 105, 033515 (2022).
- Since γ41subscript𝛾41\gamma_{41}italic_γ start_POSTSUBSCRIPT 41 end_POSTSUBSCRIPT and γ42subscript𝛾42\gamma_{42}italic_γ start_POSTSUBSCRIPT 42 end_POSTSUBSCRIPT are much smaller than Δd(z)subscriptΔ𝑑𝑧\Delta_{d}(z)roman_Δ start_POSTSUBSCRIPT italic_d end_POSTSUBSCRIPT ( italic_z ), the contribution to the amplitude attenuations and phase shifts by d41subscript𝑑41d_{41}italic_d start_POSTSUBSCRIPT 41 end_POSTSUBSCRIPT and d42subscript𝑑42d_{42}italic_d start_POSTSUBSCRIPT 42 end_POSTSUBSCRIPT in (17a) and (17b) are negligible.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.