论文标题
非热质多体系统的生物三相量子临界
Biorthogonal quantum criticality in non-Hermitian many-body systems
论文作者
论文摘要
我们开发了与实际相互作用的非属性多体系统与真实特征值的任意相互作用的非同胞基础依赖性易感性的扰动理论。基于基态能量的第二个衍生物和地面富裕性敏感性，研究了非铁横向场的量子关键性。我们表明，该系统通过数值计算有限尺寸缩放理论的临界点和临界指数，通过数字计算临界点和临界指数进行二阶相变。有趣的是，我们的结果表明，生物表定量子相变是由生物持续性富度敏感性而不是常规的保真度易感性描述。
We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising chain is investigated by the second derivative of ground-state energy and the ground-state fidelity susceptibility. We show that the system undergoes a second-order phase transition with the Ising universal class by numerically computing the critical points and the critical exponents from the finite-size scaling theory. Interestingly, our results indicate that the biorthogonal quantum phase transitions are described by the biorthogonal fidelity susceptibility instead of the conventional fidelity susceptibility.
