Page 2: Research news on Non-Hermitian systems

Non-Hermitian systems are physical systems whose effective Hamiltonians or dynamical generators are not equal to their Hermitian conjugates, leading to complex eigenvalues and non-orthogonal eigenstates. They naturally model open, dissipative, or gain–loss systems where energy or probability is not conserved, such as in photonics, acoustics, and cold-atom platforms. Non-Hermitian systems exhibit distinctive phenomena including exceptional points, non-Hermitian skin effects, and modified bulk–boundary correspondence, often described using biorthogonal bases. They are analyzed via non-Hermitian extensions of quantum and wave theories, with particular attention to spectral properties, stability, and the role of symmetries such as parity–time (PT) symmetry.

Exceptional points alter the order of lasing modes

Exceptional points (EPs) are non-Hermitian singularities where two or more eigenstates coalesce, resulting in the eigenspace collapsing in dimensionality. Over the past decade, researchers have uncovered a wealth of exotic ...

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