Exceptional points near first- and second-order quantum phase transitions

被引：13

作者：

Stransky, Pavel ^{[1
]}

Dvorak, Martin ^{[1
]}

Cejnar, Pavel ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Inst Particle & Nucl Phys, V Holesovickach 2, CR-18000 Prague, Czech Republic

来源：

PHYSICAL REVIEW E | 2018年 / 97卷 / 01期

关键词：

SYSTEMS; MODEL; CLASSIFICATION; BEHAVIOR; SPECTRA; STATES;

D O I：

10.1103/PhysRevE.97.012112

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the impact of quantum phase transitions (QPTs) on the distribution of exceptional points (EPs) of the Hamiltonian in the complex-extended parameter domain. Analyzing first-and second-order QPTs in the Lipkin-Meshkov-Glick model we find an exponentially and polynomially close approach of EPs to the respective critical point with increasing size of the system. If the critical Hamiltonian is subject to random perturbations of various kinds, the averaged distribution of EPs close to the critical point still carries decisive information on the QPT type. We therefore claim that properties of the EP distribution represent a parametrization-independent signature of criticality in quantum systems.

引用

页数：13

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