Abstract

Resonant laser excitation of multiple Rydberg atoms are prohibited, leading to Rydberg blockade, when the long-range van der Waals interactions are stronger than the laser-atom coupling. Rydberg blockade can be violated, i.e., simultaneous excitation of more than one Rydberg atom, by off-resonant laser excitation, causing an excitation antiblockade. Rydberg antiblockade gives rise to strongly correlated many-body dynamics and spin-orbit coupling and also finds quantum computation applications. Instead of commonly used van der Waals interactions, we investigate antiblockade dynamics of two Rydberg atoms interacting via dipole-dipole exchange interactions. We study typical situations in current Rydberg atom experiments, where different types of dipole-dipole interactions can be achieved by varying Rydberg state couplings. An effective Hamiltonian governing underlying antiblockade dynamics is derived. We illustrate that geometric gates can be realized with the Rydberg antiblockade which is robust against the decay of Rydberg states. Our study may stimulate new experimental and theoretical exploration of quantum optics and strongly interacting many-body dynamics with Rydberg antiblockade driven by dipole-dipole interactions.

Highlights

  • Excited Rydberg atoms with principal quantum number n 1 exhibit strong and long-range van der Waals interactions due to their large polarizibility (∼ n7) and strong interactions (∼ n11) [1]

  • When excited from ground states with resonant laser lights, Rydberg blockade emerges in which excitation of two neighboring Rydberg atoms are prohibited due to energy shifts induced by van der Waals (vdW) interactions

  • In contrast to Rydberg blockade, the interaction-induced excitation of two Rydberg atoms is referred to Rydberg antiblockade (RAB) [18]

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Summary

INTRODUCTION

Excited Rydberg atoms with principal quantum number n 1 exhibit strong and long-range van der Waals (vdW) interactions due to their large polarizibility (∼ n7) and strong interactions (∼ n11) [1]. There are different level schemes to achieve DD interactions, it is not clear how to achieve the RAB condition for the many types of DD interactions between Rydberg atoms. Existing schemes typically require two or more Rydberg atoms in the Rydberg state simultaneously for a period of time [37,38,39, 41] or to stay in a dark state [43] This could reduce coherence of the system due to, e.g. motional effects [22, 23]. When applying the proposed schemes in realizing quantum logic gates, the main feature is that only a one-step Rabi oscillation between the ground states and the multi-excited Rydberg states is required, without staying in the Rydberg states for a long period of time, avoiding disadvantages found in other schemes.

Level scheme and model
Effective Hamiltonian
Population dynamics at the RAB regime
Population dynamics
RAB with collective-exchange interaction
Dependence on laser parameters
Characteristic interatomic distance
Dependence on fluctuations of the interatomic distance
APPLICATIONS OF THE DD INTERACTION INDUCED RAB
Two-qubit geometric quantum gate
CONCLUSION

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