Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking by Gernot Akemann, Federico Balducci, Aurélia Chenu, Patricia Päßler, Federico Roccati, Ruth Shir

“…Open quantum systems have complex energy eigenvalues which are expected to follow non-Hermitian random matrix statistics, when chaotic, or two-dimensional (2d) Poisson statistics, when integrable. …”
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Linear and non-linear response of quadratic Lindbladians by Spenser Talkington, Martin Claassen

“…In this study, we develop a Lindblad-Keldysh spectroscopic response formalism for open quantum systems that elucidates their steady-state response properties and dissipative phase transitions via finite-frequency linear and non-linear probes. …”
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Strongly Coupled 𝒫𝒯-Symmetric Models in Holography by Daniel Areán, David Garcia-Fariña, Karl Landsteiner

“…Non-Hermitian quantum field theories are a promising tool to study open quantum systems. These theories preserve unitarity if <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">PT</mi></semantics></math></inline-formula> symmetry is respected, and in that case, an equivalent Hermitian description exists via the so-called Dyson map. …”
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