Advances in non-Hermitian dynamics of quadratic bosonic systems

• URL: http://arxiv.org/abs/2601.14329v2
• Date: Fri, 23 Jan 2026 10:19:26 GMT
• Title: Advances in non-Hermitian dynamics of quadratic bosonic systems
• Authors: Huawei Zhao, Xinlei Liu, Xinyao Huang, Guofeng Zhang,
• Abstract summary: Non-Hermitian physics has emerged as a rapidly advancing field of research.<n>The influence of non-Hermitian properties on quantum effects remains a key issue awaiting exploration.
• Score: 3.5858514751419293
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Non-Hermitian physics has emerged as a rapidly advancing field of research, revealing a range of novel phenomena and potential applications. Traditional non-Hermitian Hamiltonians are typically simulated by constructing asymmetric couplings or by introducing dissipation and gain to realize non-Hermitian systems. The quadratic bosonic system (QBS) with squeezing interaction is intrinsically Hermitian; however, its dynamical evolution matrix in both real and momentum spaces is non-Hermitian. Based on this, applying a field-operator transformation xp to the dynamical evolution matrix yields quadrature nonreciprocal transmission between the x and p operators. This nonreciprocal characteristic can be utilized in signal amplifiers. On the other hand, within the Bogoliubov-de Gennes framework in momentum space, one can observe non-Hermitian topological phenomena such as point-gap topology and the non-Hermitian skin effect, both induced by spectra with nonzero winding numbers. Additionally, QBS can be employed to realize non-Hermitian Aharonov-Bohm cages and to extend non-Bloch band theory. Previous studies in non-Hermitian physics have largely concentrated on classical systems. The influence of non-Hermitian properties on quantum effects remains a key issue awaiting exploration and has evolved into a research direction at the interface of non-Hermitian and quantum physics.

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