All-optical generation of deterministic squeezed Schr\"odinger-cat states

• URL: http://arxiv.org/abs/2206.02497v1
• Date: Mon, 6 Jun 2022 11:03:23 GMT
• Title: All-optical generation of deterministic squeezed Schr\"odinger-cat states
• Authors: Zhucheng Zhang, Lei Shao, Wangjun Lu, and Xiaoguang Wang
• Abstract summary: This work proposes an all-optical scheme to deterministically prepare the squeezed Schr$ddotmathrmo$dinger-cat state with high speed. By controlling the driving fields in our system, the two-photon loss can be adjustable, which can accelerate the generation of squeezed Schr$ddotmathrmo$dinger-cat states.
• Score: 0.7643466948537707
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum states are important resources and their preparations are essential prerequisites to all quantum technologies. However, they are extremely fragile due to the inevitable dissipations. Here, an all-optical generation of a deterministic squeezed Schr$\ddot{\mathrm{o}}$dinger-cat state based on dissipation is proposed. Our system is based on the Fredkin-type interaction between three optical modes, one of which is subject to coherent two-photon driving and the rest are coherent driving. We show that an effective degenerate three-wave mixing process can be engineered in our system, which can cause the simultaneous loss of two photons, resulting in the generation of a deterministic squeezed Schr$\ddot{\mathrm{o}}$dinger-cat state. More importantly, by controlling the driving fields in our system, the two-photon loss can be adjustable, which can accelerate the generation of squeezed Schr$\ddot{\mathrm{o}}$dinger-cat states. Besides, we exploit the squeezed Schr$\ddot{\mathrm{o}}$dinger-cat states to estimate the phase in the optical interferometer, and show that the quantum Fisher information about the phase can reach the Heisenberg limit in the limit of a large photon number. Meanwhile, it can have an order of magnitude factor improvement over the Heisenberg limit in the low-photon-number regime, which is very valuable for fragile systems that cannot withstand large photon fluxes. This work proposes an all-optical scheme to deterministically prepare the squeezed Schr$\ddot{\mathrm{o}}$dinger-cat state with high speed and can also be generalized to other physical platforms.

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