The lack of a method to directly design non-Hermitian Hamiltonians with desired properties
Research gap analysis derived from 3 physics papers in our local library.
The gap
The lack of a method to directly design non-Hermitian Hamiltonians with desired properties. The need for a general framework to systematically explore intrinsic non-Hermitian phenomena. The absence of experimental realizations of non-Hermit
Evidence profile
Sourced from the stated research gap and abstract of the source papers, classified as general, drawn from work published between 2025 and 2026, spanning 2 journals. Those papers have been cited 13 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Non-Hermitian quantum state discrimination and information flow (2026) · Scientific Reports · doi
The existing work on quantum state discrimination in non-Hermitian systems is mostly limited to PT-symmetric or pseudo-Hermitian systems with real spectra. There is a need to explore the underlying physics of quantum state discrimination in non-Hermitian systems with complex spectra.
generalstated research gapevidence 5/5Keywords: existing work quantum state discrimination non-hermitian systems mostly - Parent Hamiltonian and Intrinsic Phase Transition in Non-Hermitian Photonic Systems (2026) · Physical Review Letters · doi
The lack of a method to directly design non-Hermitian Hamiltonians with desired properties. The need for a general framework to systematically explore intrinsic non-Hermitian phenomena. The absence of experimental realizations of non-Hermitian parent Hamiltonians.
generalstated research gapevidence 5/5Keywords: lack method directly design non-hermitian hamiltonians desired properties - Quantum-Classical Correspondence of Non-Hermitian Symmetry Breaking (2025) · Physical Review Letters · cited 13× · doi
Real-to-complex spectral transitions and the associated spontaneous symmetry breaking of eigenstates are central to non-Hermitian physics, yet a comprehensive and universal theory that precisely describes the underlying physical mechanisms for each individual state remains elusive.
generalabstractevidence 4/5Keywords: real complex spectral transitions associated spontaneous symmetry breaking eigenstates central hermitian physics comprehensive universal theory
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