191 pages https://arxiv.org/pdf/2006.01837.pdf Table 1. A wide variety of classical and quantum systems described by non-Hermitian matrices/operators together with their physical origins of non-Hermiticity, presented in order of appearance in the present review. Systems / Processes Physical origin of non-Hermiticity Theoretical methods Photonics / Gain and loss of photons / Maxwell equations [12, 13] Mechanics / Friction / Newton equation [14, 15] Electrical circuits / Joule heating / Circuit equation [16] Stochastic processes / Nonreciprocity of state transitions / Fokker-Planck equation [17, 18] Soft matter and fluid / Nonlinear instability / Linearized hydrodynamics [19–21] Nuclear reactions / Radiative decays / Projection methods [4–6] Mesoscopic systems / Finite lifetimes of resonances / Scattering theory [22, 23] Open quantum systems / Dissipation / Master equation [24, 25] Quantum measurement / Measurement backaction / Quantum trajectory approach [26–31] | I copied you

191 pages

Table 1. A wide variety of classical and quantum systems described by non-Hermitian matrices/operators together with their

physical origins of non-Hermiticity, presented in order of appearance in the present review.

Systems / Processes Physical origin of non-Hermiticity Theoretical methods

Photonics / Gain and loss of photons / Maxwell equations [12, 13]

Mechanics / Friction / Newton equation [14, 15]

Electrical circuits / Joule heating / Circuit equation [16]

Stochastic processes / Nonreciprocity of state transitions / Fokker-Planck equation [17, 18]

Soft matter and fluid / Nonlinear instability / Linearized hydrodynamics [19–21]

Nuclear reactions / Radiative decays / Projection methods [4–6]

Mesoscopic systems / Finite lifetimes of resonances / Scattering theory [22, 23]

Open quantum systems / Dissipation / Master equation [24, 25]

Quantum measurement / Measurement backaction / Quantum trajectory approach [26–31]

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