里德伯原子阵列上海森堡XXZ模型的量子模拟
Quantum simulation of the Heisenberg XXZ model on a Rydberg atom array
- Qilimanjaro Quantum Tech.（乞力马扎罗量子科技公司）
- Universitat de Barcelona（巴塞罗那大学）
- Barcelona Supercomputing Center（巴塞罗那超级计算中心）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文在里德伯原子量子设备上实现了基于畴壁编码的方法，仅用伊辛哈密顿量模拟海森堡XXZ模型的时间演化，成功探测XY相和伊辛相并再现可观测量行为，扩展了模拟量子模拟器的工具箱。
AI中文摘要：
模拟量子硬件的一个主要应用是量子模拟，即系统根据给定的哈密顿量随时间演化。在可编程量子模拟器上实现哈密顿量时，一个挑战是不同耦合类型的可用性，其中许多类型超出了伊辛哈密顿量中常规的ZZ耦合，而后者是各种平台自然实现的。在先前的工作中，我们开发了一种基于畴壁编码的方法，仅使用伊辛哈密顿量来模拟一维自旋链，而通常这还需要XX+YY耦合。在此，我们在一个商业可访问的里德伯原子量子设备上实现了该方法，并模拟了具有不同各向异性的海森堡XXZ模型的时间演化。我们成功探测了模型的XY相和伊辛相，并再现了这两个相以及临界点上若干单体和两体可观测量的定性行为。我们的工作增强了在模拟量子模拟器上模拟规范量子多体系统的工具集。
英文摘要：
A major application of analog quantum hardware is quantum simulation, where a system evolves over time according to a given Hamiltonian. One challenge when implementing the Hamiltonian on a programmable quantum simulator is the availability of distinct coupling types, many of which go beyond the conventional ZZ-couplings found in Ising Hamiltonians that are naturally implemented by various platforms. In prior work, we have developed a method based on domain wall encoding to simulate one-dimensional spin chains using only Ising Hamiltonians, which would otherwise require XX+YY-couplings as well. Here, we implement the method on a commercially accessible Rydberg atom quantum device, and simulate the time evolution of the Heisenberg XXZ model with various anisotropies. We successfully probe the XY and Ising phases of the model and reproduce the qualitative behavior of several one- and two-body observables in both phases, as well as at the critical point. Our work augments the toolbox to simulate canonical quantum many-body systems on analog quantum simulators.
