Kerr Nonlinearity under Resonant Rydberg Driving
POSTER
Abstract
Nonlinear interactions among Rydberg atoms have been extensively used for spin squeezing, generating Schrödinger cat states [1-3], quantum matter [4], and quantum information processing [5-14]. Traditionally, to isolate the quadratic nonlinearity, operations were confined to far-off-resonant laser transitions, known as the weak dressing regime. This presentation explores the formation of cat states under resonant Rydberg excitation, which leads to the formulation of the resonant Rydberg driving Kerr Hamiltonian [3].
Operating in the resonance regime offers several advantages: it significantly enhances the interaction-to-loss ratio, allowing for faster operations by circumventing the usual adiabaticity constraints. This capability enables swift cat formation, making it particularly useful in 2D lattices within Rydberg labs. With in-resonance driving, large cat states can be generated within short time intervals, demonstrating the regime’s efficiency.
The talk will also explore the potential to create superpositions of m coherent spin states (|m-CSS>), where the maximum m is dictated by the number of atoms within the blockade radius, given by m=√N. These higher m states are more resilient against the presence of multiple orders of nonlinearity inherent in the strong dressing Hamiltonian, and they can be accessed much faster than traditional 2-component cat states.
By pushing beyond the weak dressing regime, this work opens new pathways for fast, robust quantum operations using the resonant Rydberg interaction, showcasing its strong potential for quantum technologies.
References:
1-M Khazali, Phys. Rev. A 98, 043836 (2018)
2-M Khazali, et al, Phys. Rev. A 94, 023408 (2016)
3-M Khazali, Phys. Rev. A 109 (5), 053716 (2024)
4-M Khazali, Phys. Rev. Research 3, L032033 (2021)
5-M Khazali, et al, Phys. Rev. X 10, 021054 (2020)
6-M Khazali, et al, Phys. Rev. A 91, 030301 (2015)
7-M Khazali, et al, Phys. Rev. Lett. 123, 113605 (2019)
8-M Khazali, et al, J. Phys. B, 50, 21 (2017)
9-M Khazali, Optics Express 31, 13970 (2023)
10-M Khazali, IJAP 10, 19 (2021)
11-M Khazali, arXiv preprint arXiv:2301.04450 (2023)
12-M Khazali, et al Commun. Phys. 6, 57 (2023)
13-M Khazali, Scientific Reports 14, 15412 (2024)
14-M Khazali, Quantum 6, 664 (2022)
Operating in the resonance regime offers several advantages: it significantly enhances the interaction-to-loss ratio, allowing for faster operations by circumventing the usual adiabaticity constraints. This capability enables swift cat formation, making it particularly useful in 2D lattices within Rydberg labs. With in-resonance driving, large cat states can be generated within short time intervals, demonstrating the regime’s efficiency.
The talk will also explore the potential to create superpositions of m coherent spin states (|m-CSS>), where the maximum m is dictated by the number of atoms within the blockade radius, given by m=√N. These higher m states are more resilient against the presence of multiple orders of nonlinearity inherent in the strong dressing Hamiltonian, and they can be accessed much faster than traditional 2-component cat states.
By pushing beyond the weak dressing regime, this work opens new pathways for fast, robust quantum operations using the resonant Rydberg interaction, showcasing its strong potential for quantum technologies.
References:
1-M Khazali, Phys. Rev. A 98, 043836 (2018)
2-M Khazali, et al, Phys. Rev. A 94, 023408 (2016)
3-M Khazali, Phys. Rev. A 109 (5), 053716 (2024)
4-M Khazali, Phys. Rev. Research 3, L032033 (2021)
5-M Khazali, et al, Phys. Rev. X 10, 021054 (2020)
6-M Khazali, et al, Phys. Rev. A 91, 030301 (2015)
7-M Khazali, et al, Phys. Rev. Lett. 123, 113605 (2019)
8-M Khazali, et al, J. Phys. B, 50, 21 (2017)
9-M Khazali, Optics Express 31, 13970 (2023)
10-M Khazali, IJAP 10, 19 (2021)
11-M Khazali, arXiv preprint arXiv:2301.04450 (2023)
12-M Khazali, et al Commun. Phys. 6, 57 (2023)
13-M Khazali, Scientific Reports 14, 15412 (2024)
14-M Khazali, Quantum 6, 664 (2022)
Publication: M Khazali, Phys. Rev. A 109 (5), 053716 (2024)<br>M Khazali, Phys. Rev. A 98, 043836 (2018)
Presenters
-
Mohammadsadegh Khazali
University of Tehran
Authors
-
Mohammadsadegh Khazali
University of Tehran