Preparation of cat states in many-body eigenbasis via non-local measurement

• URL: http://arxiv.org/abs/2507.00199v1
• Date: Mon, 30 Jun 2025 19:08:06 GMT
• Title: Preparation of cat states in many-body eigenbasis via non-local measurement
• Authors: Ruoyu Yin, Hongzheng Zhao,
• Abstract summary: We propose to periodically interrupt the many-body evolution by precisely removing a given many-body Fock state through a non-local measurement.<n>We show that a state manifold survives the removal, allowing us to filter the system and generate a coherent superposition within this manifold at long times.<n>Our work provides new insight into quantum state preparation via non-local measurements using tools available in current quantum simulators.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Engineered dissipation offers a promising route to prepare correlated quantum many-body states that are otherwise difficult to access using purely unitary protocols. However, creating superpositions of multiple many-body eigenstates with tunable properties remains a major challenge. We propose to periodically interrupt the many-body evolution by precisely removing a given many-body Fock state through a non-local post-selected measurement protocol. Upon tuning the measurement period, we show that a dark state manifold survives the removal, allowing us to filter the system and generate a coherent superposition within this manifold at long times. As a testbed, we study a non-integrable spin-1 XY chain featuring a solvable family of eigenstates that can differ macroscopically in quasi-particle excitations. Our protocol generates tunable superpositions of these eigenstates, including the spin-1 Greenberger-Horne-Zeilinger state and a generalized variant with tunable spatiotemporal order. Under perturbations, the system exhibits an exceptionally long-lived metastable regime where the engineered superpositions remain robust. Our work provides new insight into quantum state preparation via non-local measurements using tools available in current quantum simulators.

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