从少数实体示例中生成概括的基本状态设想
Matt Lourens1, Ilya Sinayskiy2,3, Johannes N Kriel1
1Stellenbosch University, Department of Physics, Stellenbosch, South Africa.
Physical review letters
|December 5, 2025
概括
我们开发了一种使用符号语言和进化算法的新方法,以创建准确且可分析的量子多体基本状态. 这种方法确保了可扩展性,并捕捉了各种模型的基本系统属性.
科学领域:
- 量子物理学的量子物理学
- 计算物理学的计算物理.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 准确的基本状态答案对于理解量子多体系统至关重要.
- 现有的方法经常在分析处理性或可扩展性方面扎.
- 开发通用和高效的Ansätze仍然是一个关键的挑战.
研究的目的:
- 为量子多体系统引入一种用于生成基态的新方法.
- 为了确保这些Ansätze在广泛的参数范围内既可分析处理,又准确.
- 开发可以自动随系统大小扩展的Ansätze.
主要方法:
- 使用自定义的符号语言来构建张量网络状态.
- 使用进化算法来生成和优化答案.
- 评估小系统上的Ansatz适应性,以预测大型系统的性能.
- 在Lipkin-Meshkov-Glick和量子横场Ising模型上演示该方法.
主要成果:
- 产生具有普遍性质的分析可处理的Ansätze.
- 答案成功编码相关性并捕捉有限大小的效应.
- 准确预测基态能量和描述关键现象.
- 确定了适用于两个测试模型的单一Ansatz.
- 获得了预期值和相关函数的确切表达式.
结论:
- 开发的方法提供了一种系统的方式来生成准确和可扩展的基底状态答案.
- 生成的Ansätze表现出普遍性,并提供了对量子系统行为的见解.
- 恢复破碎的对称性为系统地提高Ansatz准确性提供了一条途径.
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