Content of SPECIAL TOPIC—Non-Hermitian physics in our journal

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    Real non-Hermitian energy spectra without any symmetry
    Boxue Zhang(张博学), Qingya Li(李青铔), Xiao Zhang(张笑), and Ching Hua Lee(李庆华)
    Chin. Phys. B, 2022, 31 (7): 070308.   DOI: 10.1088/1674-1056/ac67c6
    Abstract647)   HTML9)    PDF (1506KB)(168)      
    Non-Hermitian models with real eigenenergies are highly desirable for their stability. Yet, most of the currently known ones are constrained by symmetries such as PT-symmetry, which is incompatible with realizing some of the most exotic non-Hermitian phenomena. In this work, we investigate how the non-Hermitian skin effect provides an alternative route towards enforcing real spectra and system stability. We showcase, for different classes of energy dispersions, various ansatz models that possess large parameter space regions with real spectra, despite not having any obvious symmetry. These minimal local models can be quickly implemented in non-reciprocal experimental setups such as electrical circuits with operational amplifiers.
    Quantum simulation of τ-anti-pseudo-Hermitian two-level systems
    Chao Zheng(郑超)
    Chin. Phys. B, 2022, 31 (10): 100301.   DOI: 10.1088/1674-1056/ac8738
    Abstract325)   HTML5)    PDF (3498KB)(151)      
    Different from the Hermitian case, non-Hermitian (NH) systems have novel properties and strongly relate to open and dissipative quantum systems. In this work, we investigate how to simulate τ-anti-pseudo-Hermitian systems in a Hermitian quantum device using linear combinations of unitaries and duality quantum algorithm. Specifying the τ to time-reversal (T) and parity-time-reversal (PT) operators, we construct the two NH two-level systems, design quantum circuits including three qubits, and decide the quantum gates explicitly in detail. We also calculate the success probabilities of the simulation. Experimental implementation can be expected in small quantum simulator.
ISSN 1674-1056   CN 11-5639/O4

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