Biorthogonal quantum criticality in non-Hermitian many-body systems
Biorthogonal quantum criticality in non-Hermitian many-body systems
复制标题
DOI：
10.1007/s11467-021-1126-1
复制
发表时间：
2020-09
影响因子：
7.5
通讯作者：
Gaoyong Sun;Jiahua Tang;S. Kou
中科院分区：
文献类型：
--
作者：
Gaoyong Sun;Jiahua Tang;S. Kou
我们发展了具有实本征值的任意相互作用的非厄米多体系统在双正交基上保真极化率的微扰理论。用基态能量的二阶导数和基态保真磁化率研究了非厄米横场伊辛链的量子临界性。通过数值计算有限尺寸标度理论的临界点和临界指数，我们证明了系统经历了Ising普适类的二阶相变。有趣的是，我们的结果表明双正交量子相变是用双正交保真磁化率来描述的，而不是用传统的保真磁化率来描述。
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 the 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.