Instability-Enhanced Quantum Sensing with Tunable Multibody Interactions

• URL: http://arxiv.org/abs/2604.05047v1
• Date: Mon, 06 Apr 2026 18:01:02 GMT
• Title: Instability-Enhanced Quantum Sensing with Tunable Multibody Interactions
• Abstract summary: Dynamical instabilities can amplify small perturbations into measurable signals.<n>We show that a quartic extension of a Hamiltonian substantially increases the amplification.<n>Our results identify phase-space curvature as a resource for optimizing the speed and performance of quantum sensors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Dynamical instabilities can amplify small perturbations into measurable signals, offering a route to quantum-enhanced sensing. This mechanism was experimentally demonstrated in a collective-spin system with quadratic interactions, described by a twisting-and-turning Hamiltonian, where quantum evolution near an unstable point leads to exponential growth of spin fluctuations, enabling metrological gain beyond the standard quantum limit. Here, we show that a quartic extension of this Hamiltonian substantially increases the amplification. The additional nonlinear term reshapes the phase-space structure, generating new unstable points and accelerating signal amplification. As a result, enhanced sensitivity is achieved within experimentally accessible coherence times. Remarkably, even at fixed instability rate (equal Lyapunov exponent), multibody interactions outperform the quadratic case due to enhanced short-time dynamics. We analyze the classical and quantum behavior of the multibody model and discuss its experimental implementations. Our results identify phase-space curvature as a resource for optimizing the speed and performance of quantum sensors.

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