Fast generation of multi-componant cat states under resonant Rydberg driving Kerr Hamiltonian

The nonlinear interaction among Rydberg atoms has been used for many-body physics [1-4], and Quantum information [5-14]. In many-body physics to isolate the quadratic order of nonlinearity, the operation was limited to far of resonant laser transition, known as the weak dressing regime. This talk discusses the cat state formation under resonant Rydberg driving Hamiltonian [15]. The resonance regime significantly enhances the interaction-to-loss ratio while circumventing the adiabaticity condition allowing fast switching. Additionally, the talk will introduce the scheme for making a superposition of m coherent spin states (|m-CSS>), where the maximum m is determined by the number of atoms within the blockade radius . The states with larger m are more robust against the presence of multiple orders of nonlinearity in the strong dressing Hamiltonian and are accessible at a much shorter time compared to the traditional 2-component cat states.



References:

1. [1] M. Khazali, Phys. Rev. A 98, 043836 (2018)
   
   
   
   [2] M. Khazali, H. W. Lau, A. Humeniuk, C. Simon, Phys. Rev. A 94, 023408 (2016)
   
   
   
   [3] Khazali, Mohammadsadegh. "Applications of Atomic Ensembles for Photonic Quantum Information Processing and Fundamental Tests of Quantum Physics." Ph.D. thesis, University of Calgary (2016).
   
   
   
   [4] M Khazali, Phys. Rev. Research 3, L032033 (2021)
   
   
   
   [5] M. Khazali, K. Mølmer, Phys. Rev. X 10, 021054 (2020).
   
   
   
   [6] M. Khazali, K. Heshami, C. Simon, Phys. Rev. A 91, 030301 (2015)
   
   
   
   [7] M. Khazali, C. Murry, T. Pohl, Phys. Rev. Lett. 123, 113605 (2019)
   
   
   
   [8] M. Khazali, K. Heshami, C. Simon J. Phys. B, 50, 21 (2017)
   
   
   
   [9] M. Khazali, Optics Express 31(9), 13970-13980 (2023)
   
   
   
   [10] M. Khazali, IJAP 10, 19 (2021)
   
   
   
   [11] Khazali, M. (2023). Subnanometer confinement and bundling of atoms in a Rydberg empowered optical lattice. arXiv preprint arXiv:2301.04450.
   
   
   
   [12] Khazali, M., & Lechner, W. Communications Physics 6, 57 (2023).
   
   
   
   [13] Khazali, M. (2022). Photonic interface for long-distance entanglement of logical-qubits. arXiv preprint arXiv:2204.08522.
   
   
   
   [14] M. Khazali, Quantum 6, 664 (2022).
   
   
   
   [15] Khazali, Mohammadsadegh. "Fast generation of multi-component cat states under the Strong Rydberg Dressing Regime." arXiv preprint arXiv:2312.11432 (2023)