AI 中文总结
研究提出用 D-Wave 量子退火器估计横向场伊辛哈密顿量能隙的新方法,通过施加三角波振荡磁场诱导拉比振荡,能直接获取激发态信息,为量子设备模拟提供新途径,经小系统数值模拟验证了方法有效性。
AI 中文摘要
横向场伊辛模型是一个基本的量子自旋系统,在量子相变和非平衡动力学研究中起核心作用。然而,大规模或高维系统中基态和激发态的经典计算受希尔伯特空间指数增长严重限制。本文提出一种使用 D-Wave 量子退火器的新方法,通过施加三角波振荡磁场诱导拉比振荡来估计基态和激发态之间的能隙。与传统限于基态搜索的量子退火方法不同,该方法可直接获取激发态信息,可能适用于更大系统,为基于量子设备的模拟提供新途径,通过相对小系统的数值模拟证明了该方法的有效性。
英文摘要
The transverse-field Ising model is a fundamental quantum spin system that captures the competition between quantum fluctuations and interactions, playing a central role in studies of quantum phase transitions and non-equilibrium dynamics. However, classical computations of ground and excited states in large-scale or high-dimensional systems are severely limited by the exponential growth of the Hilbert space. Here, we propose a novel approach using a D-Wave quantum annealer, where a triangular-wave oscillating magnetic field is applied to induce Rabi oscillations, allowing the estimation of energy gaps between the ground and excited states. Unlike conventional quantum annealing methods limited to ground-state searches, this approach can directly access excited-state information. It is potentially applicable to larger systems, providing a new avenue for quantum-device-based simulation. The validity of the method is demonstrated through numerical simulations of relatively small systems.