Towards a spatial cat state of a massive pendulum
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910407568916480 |
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| author | Iso, Satoshi Li, Jinyang Matsumoto, Nobuyuki Sakai, Katsuta |
| author_facet | Iso, Satoshi Li, Jinyang Matsumoto, Nobuyuki Sakai, Katsuta |
| contents | We propose an experiment for constructing a spatial cat state of a suspended mirror with an order of $\mathcal{O}$(mg). The mirror is set at the center of two mirrors, creating two optical cavities and optical springs. The induced potential exhibits a double-well shape, and its deformation resembles a second-order phase transition as a function of laser power. We estimate an adiabatic condition for the ground state wave function to metamorphose from a localized state at the origin to a spatial cat state within the double-well potential, within a coherence time determined by mechanical and environmental noises. Our estimation suggests that such a construction is possible if we can provide an ultra-high finesse optical cavity with $F = 2.5 \times 10^5$ and a length of $0.3$ cm, along with a shot-noise-limited laser at $7.9$ nW. The necessary mechanical coherence time is approximately one second. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards a spatial cat state of a massive pendulum Iso, Satoshi Li, Jinyang Matsumoto, Nobuyuki Sakai, Katsuta Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory We propose an experiment for constructing a spatial cat state of a suspended mirror with an order of $\mathcal{O}$(mg). The mirror is set at the center of two mirrors, creating two optical cavities and optical springs. The induced potential exhibits a double-well shape, and its deformation resembles a second-order phase transition as a function of laser power. We estimate an adiabatic condition for the ground state wave function to metamorphose from a localized state at the origin to a spatial cat state within the double-well potential, within a coherence time determined by mechanical and environmental noises. Our estimation suggests that such a construction is possible if we can provide an ultra-high finesse optical cavity with $F = 2.5 \times 10^5$ and a length of $0.3$ cm, along with a shot-noise-limited laser at $7.9$ nW. The necessary mechanical coherence time is approximately one second. |
| title | Towards a spatial cat state of a massive pendulum |
| topic | Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.08435 |