自举非厄米量子系统

IF 5.3 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-05-09 DOI:10.1103/physrevd.111.105005

Sakil Khan, Harsh Rathod

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引用次数: 0

摘要

近年来，“自举”技术被应用于量子力学中求解厄米哈密顿算子的特征谱，并推广到非厄米奇偶时间对称系统。然而，它的应用仅限于实际光谱。在这项工作中，我们建立了非厄米系统的自举条件，并生成了一般复多项式势的特征谱，其中包括pt对称哈密顿算子作为特殊情况。此外，我们证明了该方法在施加于本征函数的各种边界条件下获得本征谱的能力，包括捕获pt对称相变的显著应用。2025年由美国物理学会出版

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Bootstrapping non-Hermitian quantum systems

Recently, the “bootstrap” technique was applied in quantum mechanics to solve the eigenspectra of Hermitian Hamiltonians and extended to non-Hermitian parity-time (PT)-symmetric systems. However, its application has been limited to real spectra. In this work, we establish bootstrap conditions for the non-Hermitian system and generate eigenspectra for a generic complex polynomial potential, which includes PT-symmetric Hamiltonians as a special case. Additionally, we demonstrate the method’s ability to obtain eigenspectra under various boundary conditions imposed on the eigenfunction, including the notable application of capturing the PT-symmetric phase transition.

Published by the American Physical Society

2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.