Optimal Control of Spin Squeezing in 2D Finite-Range Interacting Systems

• URL: http://arxiv.org/abs/2603.29737v1
• Date: Tue, 31 Mar 2026 13:36:25 GMT
• Title: Optimal Control of Spin Squeezing in 2D Finite-Range Interacting Systems
• Abstract summary: We develop an optimal control strategy for achieving enhanced spin squeezing in a two-dimensional XX model with dipolar interactions.<n>A single collective transverse field is sufficient to achieve substantial squeezing enhancement, exceeding the two-axis-twisting benchmark.<n>We extend rotor-spin-wave theory to open boundary conditions and incorporate dephasing noise, providing a scalable framework for realistic systems.
• Score: 10.076220152903641
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Spin squeezing serves as both a fundamental witness of quantum entanglement and a critical resource for quantum-enhanced metrology. While generating substantial spin squeezing in finite-range interacting systems remains challenging, such capability is important for advancing quantum technologies. In this work, we develop an optimal control strategy for achieving enhanced spin squeezing in a two-dimensional XX model with dipolar interactions. Leveraging rotor-spin-wave theory for periodic boundary conditions, we circumvent computational bottlenecks to explore control strategies at unprecedented scales. Remarkably, optimizing a single collective transverse field is sufficient to achieve substantial squeezing enhancement, exceeding the two-axis-twisting benchmark. The optimized control field achieves this breakthrough by dynamically suppressing inter-subspace mixing induced by the finite-range interactions, thereby confining the system evolution predominantly within the maximal spin subspace. We further extend rotor-spin-wave theory to open boundary conditions and incorporate dephasing noise, providing a scalable framework for realistic systems. Under these conditions, the optimized protocol remains effective, highlighting its robustness and suitability for experimental implementation.

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