Non-Hermitian Quantum Mechanics

Non-Hermitian Anharmonicity Induces Single-Photon Emission

Ben‐Asher, A., Fernández‐Domínguez, A. I., & Feist, J. (2023) · Physical Review Letters · doi:10.1103/physrevlett.130.243601 · Cited by 25

Interatomic Coulombic decay in two coupled quantum wells

Goldzak, T., Gantz, L., Gilary, I., Bahir, G., & Moiseyev, N. (2015) · Physical Review B · doi:10.1103/physrevb.91.165312 · Cited by 24

A universal quantum circuit scheme for finding complex eigenvalues

Daskin, A., Grama, A. Y., & Kais, S. (2013) · Quantum Information Processing · doi:10.1007/s11128-013-0654-1 · Cited by 24

Linear Quantum Entropy and Non-Hermitian Hamiltonians

Sergi, A., & Giaquinta, P. V. (2016) · Entropy · doi:10.3390/e18120451 · Cited by 25

Spatiotemporal deformations of reflectionless potentials

Horsley, S. A. R., & Longhi, S. (2017) · Physical Review A · doi:10.1103/physreva.96.023841 · Cited by 24

Vessel radius mapping in an extended model of transverse relaxation

Buschle, L. R., Ziener, C. H., Zhang, K., Sturm, V. J. F., Kampf, T., Hahn, A., Solecki, G. M., Winkler, F., Bendszus, M., Heiland, S., et al. (2018) · Magnetic Resonance Materials in Physics Biology and Medicine · doi:10.1007/s10334-018-0677-9 · Cited by 24

Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and a high-order exceptional point

Pan, L., Chen, S., & Cui, X. (2019) · Physical Review A · doi:10.1103/physreva.99.063616 · Cited by 24

Non-Hermitian Topology in Hermitian Topological Matter

Hamanaka, S., Yoshida, T., & Kawabata, K. (2024) · Physical Review Letters · doi:10.1103/physrevlett.133.266604 · Cited by 23

Computational capacity of life in relation to the universe

Kurian, P. (2025) · Science Advances · doi:10.1126/sciadv.adt4623 · Cited by 24

Realizing ${\mathcal{P}}{\mathcal{T}}$-symmetric BEC subsystems in closed Hermitian systems

Gutöhrlein, R., Schnabel, J., Iskandarov, I., Cartarius, H., Main, J., & Wunner, G. (2015) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/48/33/335302 · Cited by 23

Tight-binding lattices with an oscillating imaginary gauge field

Longhi, S. (2016) · Physical Review A · doi:10.1103/physreva.94.022102 · Cited by 23

Admissible perturbations and false instabilities in PT -symmetric quantum systems

Znojil, M. (2018) · Physical Review A · doi:10.1103/physreva.97.032114 · Cited by 23

Wave excitation and dynamics in non-Hermitian disordered systems

Huang, Y., Kang, Y., & Genack, A. Z. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013102 · Cited by 23

Non-Hermiticity induces localization: Good and bad resonances in power-law random banded matrices

Tomasi, G. D., & Khaymovich, I. M. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.l180202 · Cited by 23

Stationary modes and integrals of motion in nonlinear lattices with a ${\mathcal {PT}}$-symmetric linear part

Zezyulin, D. A., & Konotop, V. V. (2013) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/41/415301 · Cited by 23

Fano-Feshbach resonances in two-channel scattering around exceptional points

Heiss, W. D., & Wunner, G. (2014) · The European Physical Journal D · doi:10.1140/epjd/e2014-50379-8 · Cited by 23

Crypto-Unitary Forms of Quantum Evolution Operators

Znojil, M. (2012) · International Journal of Theoretical Physics · doi:10.1007/s10773-012-1451-9 · Cited by 23

Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians

Graefe, E.-M., & Schubert, R. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/24/244033 · Cited by 23

Real-valued continuum remover potential: An improved L2-stabilization method for the chemistry of electronic resonance states

Sajeev, Y. (2013) · Chemical Physics Letters · doi:10.1016/j.cplett.2013.09.052 · Cited by 23

Structure Optimization of Temporary Anions

Koczor-Benda, Z., Rickmeyer, K., & Jagau, T. (2018) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.8b00128 · Cited by 23

Exceptional points by coupling of modes with different angular momenta in deformed microdisks: A perturbative analysis

Kullig, J., Yi, C.-H., & Wiersig, J. (2018) · Physical Review A · doi:10.1103/physreva.98.023851 · Cited by 23

Robust $${\bf{P}}{\bf{T}}$$ symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity

Luz, E., Lutsky, V., Granot, E., & Malomed, B. A. (2019) · Scientific Reports · doi:10.1038/s41598-019-40752-x · Cited by 23

Dynamic magnetization in non-Hermitian quantum spin systems

Zhang, X. Z., Jin, L., & Song, Z. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.224301 · Cited by 23

Quasinormal modes and excitation factors of Kerr black holes

Lo, R. K. L., Sabani, L., & Cardoso, V. (2025) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.111.124002 · Cited by 22

Multiply Degenerate Exceptional Points and Quantum Phase Transitions

Borisov, D. I., Ružička, F., & Znojil, M. (2015) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2493-y · Cited by 22

Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation

Barashenkov, I. V., Zezyulin, D. A., & Konotop, V. V. (2016) · Springer proceedings in physics · doi:10.1007/978-3-319-31356-6_9 · Cited by 22

Coherent and Incoherent Contributions to Charge Separation in Multichromophore Systems

Kocherzhenko, A. A., Lee, D., Forsuelo, M. A., & Whaley, K. B. (2015) · The Journal of Physical Chemistry C · doi:10.1021/jp5127859 · Cited by 22

Quantization of out-of-time-ordered correlators in non-Hermitian chaotic systems

Zhao, W.-L. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.023004 · Cited by 22

Excitation of absorbing exceptional points in the time domain

Farhi, A., Mekawy, A., Alù, A., & Stone, D. (2022) · Physical Review A · doi:10.1103/physreva.106.l031503 · Cited by 22

Nth power root topological phases in Hermitian and non-Hermitian systems

Deng, W., Chen, T., & Zhang, X. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.033109 · Cited by 24

Robustness versus sensitivity in non-Hermitian topological lattices probed by pseudospectra

Komis, I., Kaltsas, D., Xia, S., Buljan, H., Chen, Z., & Makris, K. G. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.043219 · Cited by 22

Eigenvector continuation for emulating and extrapolating two-body resonances

Yapa, N., Fossez, K., & König, S. (2023) · Physical Review C · doi:10.1103/physrevc.107.064316 · Cited by 22

Current-Voltage Characteristics of the Normal Metal-Insulator-PT-Symmetric Non-Hermitian Superconductor Junction as a Probe of Non-Hermitian Formalisms

Kornich, V. (2023) · Physical Review Letters · doi:10.1103/physrevlett.131.116001 · Cited by 22

Low-lying quasibound rovibrational states of H2 16O**

Szidarovszky, T., & Császár, A. G. (2013) · Molecular Physics · doi:10.1080/00268976.2013.793831 · Cited by 22

Excited-state quantum phase transitions studied from a non-Hermitian perspective

Šindelka, M., dos Santos, L. F., & Moiseyev, N. (2017) · Physical Review A · doi:10.1103/physreva.95.010103 · Cited by 22

Exceptional points in a time-periodic parity-time-symmetric Rabi model

Xie, Q., Rong, S., & Liu, X. (2018) · Physical Review A · doi:10.1103/physreva.98.052122 · Cited by 22

Interaction effects on the PT -symmetry-breaking transition in atomic gases

Zhou, Z., & Yu, Z. (2019) · Physical Review A · doi:10.1103/physreva.99.043412 · Cited by 22

Laser Control of Resonance Tunneling via an Exceptional Point

Ben‐Asher, A., Šimsa, D., Uhlířová, T., Šindelka, M., & Moiseyev, N. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.253202 · Cited by 22

Non-Hermitian Dirac cones with valley-dependent lifetimes

Xie, X., Ma, F., Rui, W. B., Dong, Z., Du, Y., Xie, W., Zhao, Y. X., Chen, H., Gao, F., & Xue, H. (2025) · Nature Communications · doi:10.1038/s41467-025-56882-y · Cited by 22

The role of the geometric phases in adiabatic population tracking for non-Hermitian Hamiltonians

Leclerc, A., Viennot, D., & Jolicard, G. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/45/41/415201 · Cited by 21

Low energy electron catalyst: the electronic origin of catalytic strategies

Davis, D., & Sajeev, Y. (2016) · Physical Chemistry Chemical Physics · doi:10.1039/c6cp05480c · Cited by 21

Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems

Garmon, S. S., Ordonez, G. E., & Hatano, N. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.033029 · Cited by 21

Reservoir-assisted symmetry breaking and coalesced zero-energy modes in an open PT -symmetric Su-Schrieffer-Heeger model

Garmon, S. S., & Noba, K.-I. (2021) · Physical Review A · doi:10.1103/physreva.104.062215 · Cited by 21

Driving quantum systems with periodic conditional measurements

Liu, Q., Ziegler, K., Kessler, D. A., & Barkai, E. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.023129 · Cited by 23

Non-Hermitian Generalization of Rényi Entropy

Li, D., & Zheng, C. (2022) · Entropy · doi:10.3390/e24111563 · Cited by 21

Pseudo-Hermiticity protects the energy-difference conservation in the scattering

Xu, H. S., & Jin, L. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.l042005 · Cited by 21

Effects of an exceptional point on the dynamics of a single particle in a time-dependent harmonic trap

Uzdin, R., Torre, E. G. D., Kosloff, R., & Moiseyev, N. (2013) · Physical Review A · doi:10.1103/physreva.88.022505 · Cited by 21

Helium in chirped laser fields as a time-asymmetric atomic switch

Kaprálová-Žďánská, P. R., & Moiseyev, N. (2014) · The Journal of Chemical Physics · doi:10.1063/1.4885136 · Cited by 21

Photoionization of hydrogen atoms by coherent intense high-frequency short laser pulses: Direct propagation of electron wave packets on large spatial grids

Demekhin, P. V., Hochstuhl, D., & Cederbaum, L. S. (2013) · Physical Review A · doi:10.1103/physreva.88.023422 · Cited by 21

Analogue of the Quantum Hanle Effect and Polarization Conversion in Non-Hermitian Plasmonic Metamaterials

Ginzburg, P., Rodríguez‐Fortuño, F. J., Martı́nez, A., & Zayats, A. V. (2012) · Nano Letters · doi:10.1021/nl3034174 · Cited by 21

Green’s Functions at Exceptional Points

Heiss, W. D. (2015) · International Journal of Theoretical Physics · doi:10.1007/s10773-014-2428-7 · Cited by 21

Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media

Wang, L., Malomed, B. A., & Yan, Z. (2019) · Physical review. E · doi:10.1103/physreve.99.052206 · Cited by 21

Loschmidt Echo and Fidelity Decay Near an Exceptional Point

Longhi, S. (2019) · Annalen der Physik · doi:10.1002/andp.201900054 · Cited by 21

Linking Scalar Elastodynamics and Non-Hermitian Quantum Mechanics

Shmuel, G., & Moiseyev, N. (2020) · Physical Review Applied · doi:10.1103/physrevapplied.13.024074 · Cited by 21

Non-Hermitian impurities in Dirac systems

Sukhachov, P. O., & Balatsky, A. V. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.013325 · Cited by 22

Photonic topological fermi nodal disk in non-Hermitian magnetic plasma

Wang, W., Gao, W., Cao, L., Xiang, Y., & Zhang, S. (2020) · Light Science & Applications · doi:10.1038/s41377-020-0274-3 · Cited by 21

Visualizing resonances in finite volume

Guo, P., & Long, B. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.074508 · Cited by 21

Machine learning non-Hermitian topological phases

Narayan, B., & Narayan, A. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.035413 · Cited by 22

Probing non-Hermitian phase transitions in curved space via quench dynamics

Pará, Y., Palumbo, G., & Macrì, T. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.155417 · Cited by 21

Enhanced energy harvesting near exceptional points in systems with (pseudo-)PT-symmetry

Fernández-Alcázar, L. J., Kononchuk, R., & Kottos, T. (2021) · Communications Physics · doi:10.1038/s42005-021-00577-5 · Cited by 21

Variational Dirac–Coulomb explicitly correlated computations for atoms and molecules

Jeszenszki, P., Ferenc, D., & Mátyus, E. (2022) · The Journal of Chemical Physics · doi:10.1063/5.0075096 · Cited by 21

Parity-time-symmetric solitons in trapped Bose-Einstein condensates and the influence of varying complex potentials: A variational approach

Devassy, L., Jisha, C. P., Alberucci, A., & Kuriakose, V. C. (2015) · Physical Review E · doi:10.1103/physreve.92.022914 · Cited by 21

Polariton Photonics Using Structured Metals and 2D Materials

Cai, Z., Xu, Y., Wang, C., & Liu, Y. (2019) · Advanced Optical Materials · doi:10.1002/adom.201901090 · Cited by 21

Quantum-enhanced photoprotection in neuroprotein architectures emerges from collective light-matter interactions

Patwa, H., Babcock, N. S., & Kurian, P. (2024) · Frontiers in Physics · doi:10.3389/fphy.2024.1387271 · Cited by 20

Parameter estimation in atomic spectroscopy using exceptional points

Am-Shallem, M., Kosloff, R., & Moiseyev, N. (2016) · Physical Review A · doi:10.1103/physreva.93.032116 · Cited by 20

Exceptional points for resonant states on parallel circular dielectric cylinders

Abdrabou, A., & Lu, Y. Y. (2019) · Journal of the Optical Society of America B · doi:10.1364/josab.36.001659 · Cited by 20

Symmetry-protected quantization of complex Berry phases in non-Hermitian many-body systems

Tsubota, S., Yang, H. W., Akagi, Y., & Katsura, H. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.105.l201113 · Cited by 20

Ab Initio Molecular Dynamics of Temporary Anions Using Complex Absorbing Potentials

Gyamfi, J. A., & Jagau, T. (2022) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.2c01969 · Cited by 20

Comparative study for two-terminal transport through a lossy one-dimensional quantum wire

Uchino, S. (2022) · Physical Review A · doi:10.1103/physreva.106.053320 · Cited by 20

On the computations of decay widths of Fano resonances

Miteva, T., Kazandjian, S., & Sisourat, N. (2016) · Chemical Physics · doi:10.1016/j.chemphys.2016.08.014 · Cited by 20

On the quantum mechanics of bicomplex Hamiltonian system

Banerjee, A. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.01.006 · Cited by 20

Exceptional points in classical spin dynamics

Galda, A., & Vinokur, V. M. (2019) · Scientific Reports · doi:10.1038/s41598-019-53455-0 · Cited by 20

Realization of complex conjugate media using non‐PT‐symmetric photonic crystals

Cui, X., Ding, K., Dong, J., & Chan, C. T. (2018) · Nanophotonics · doi:10.1515/nanoph-2019-0389 · Cited by 20

The continuum spectrum of hypernuclear trios

Schäfer, M., Bazak, B., Barnea, N., & Mareš, J. (2020) · Physics Letters B · doi:10.1016/j.physletb.2020.135614 · Cited by 20

Non‐self‐adjoint operators in quantum physics: ideas, people, and trends

Znojil, M. (2015) · Wiley eBooks · doi:10.1002/9781118855300.ch1 · Cited by 20

Schrödinger Equations with Logarithmic Self-Interactions: From Antilinear PT-Symmetry to the Nonlinear Coupling of Channels

Znojil, M., Růžička, F., & Zloshchastiev, K. G. (2017) · Symmetry · doi:10.3390/sym9080165 · Cited by 19

Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac- δ(x) -Scarf-II optical potentials

Zhong, M., Chen, Y., Yan, Z., & Tian, S. (2022) · Physical review. E · doi:10.1103/physreve.105.014204 · Cited by 19

Topological transitions and Anderson localization of light in disordered atomic arrays

Skipetrov, S. E., & Wulles, P. (2022) · Physical Review A · doi:10.1103/physreva.105.043514 · Cited by 21

Topological superconductivity enhanced by exceptional points

Arouca, R., Cayao, J., & Black‐Schaffer, A. M. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.l060506 · Cited by 19

Relativistic extension of the complex scaled Green's function method for resonances in deformed nuclei

Shi, M., Shi, X.-X., Niu, Z.-M., Sun, T., & Guo, J.-Y. (2017) · The European Physical Journal A · doi:10.1140/epja/i2017-12241-6 · Cited by 19

Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation

Li, H., Shen, H. Z., Wu, S. L., & Yi, X. X. (2017) · Optics Express · doi:10.1364/oe.25.030135 · Cited by 19

Distinct outcomes by dynamically encircling an exceptional point along homotopic loops

Zhang, X., Song, J., Chan, C. T., & Sun, H. (2019) · Physical Review A · doi:10.1103/physreva.99.063831 · Cited by 19

Coupling-assisted Landau-Majorana-Stückelberg-Zener transition in a system of two interacting spin qubits

Grimaudo, R., Vitanov, N. V., & MESSINA, A. (2019) · Physical review. B./Physical review. B · doi:10.1103/physrevb.99.174416 · Cited by 19

Nonlinear extension of the quantum dynamical semigroup

Rembieliński, J., & Caban, P. (2021) · Quantum · doi:10.22331/q-2021-03-23-420 · Cited by 19

Rotational–vibrational resonance states

Császár, A. G., Simkó, I., Szidarovszky, T., Groenenboom, G. C., Karman, T., & van der Avoird, A. (2020) · Physical Chemistry Chemical Physics · doi:10.1039/d0cp00960a · Cited by 19

Non-Hermitian flat-band generator in one dimension

Maimaiti, W., & Andreanov, A. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.035115 · Cited by 19

Quantum phase transitions in nonhermitian harmonic oscillator

Znojil, M. (2020) · Scientific Reports · doi:10.1038/s41598-020-75468-w · Cited by 19

Inverse Vernier effect in coupled lasers

Ge, L., & Türeci, H. E. (2015) · Physical Review A · doi:10.1103/physreva.92.013840 · Cited by 19

Adiabatic theory for anisotropic cold molecule collisions

Pawlak, M., Shagam, Y., Narevicius, E., & Moiseyev, N. (2015) · The Journal of Chemical Physics · doi:10.1063/1.4928690 · Cited by 19

Anomalous parity-time–symmetry transition away from an exceptional point

Ge, L. (2016) · Physical Review A · doi:10.1103/physreva.94.013837 · Cited by 19

Photodissociation Dynamics of Homonuclear Diatomic Molecules in Helium Nanodroplets. The Case of Cl 2 @( 4 He) N

Vilà, A., González, M., & Mayol, R. (2015) · Journal of Chemical Theory and Computation · doi:10.1021/ct5011642 · Cited by 19

Non-Hermitian minimal Kitaev chains

Cayao, J., & Aguado, R. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.205432 · Cited by 18

Compositeness of hadrons, nuclei, and atomic systems

Kinugawa, T., & Hyodo, T. (2025) · The European Physical Journal A · doi:10.1140/epja/s10050-025-01548-y · Cited by 18

Quantum physics of stars

Wiescher, M., Bertulani, C. A., Brune, C. R., deBoer, R. J., Díaz-Torres, A., Gasques, L. R., Langanke, K., Navrátil, P., Nazarewicz, W., Okołowicz, J., et al. (2025) · Reviews of Modern Physics · doi:10.1103/revmodphys.97.025003 · Cited by 18

Magnon-driven dynamics of a hybrid system excited with ultrafast optical pulses

Crescini, N., Braggio, C., Carugno, G., Vora, R. D., Ortolan, A., & Ruoso, G. (2020) · Communications Physics · doi:10.1038/s42005-020-00435-w · Cited by 18

Exceptional point protected robust on‐chip optical logic gates

Yang, S., Zhang, X., & Sun, H. (2022) · Exploration · doi:10.1002/exp.20210243 · Cited by 18

Complex scaled nonlocalized cluster model for Be8

Zhang, H., Bai, D., Wang, Z., & Ren, Z. (2022) · Physical Review C · doi:10.1103/physrevc.105.054317 · Cited by 18

Linear Flow Analysis Inspired by Mathematical Methods from Quantum Mechanics

Magri, L., Schmid, P. J., & Moeck, J. P. (2022) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-031022-044209 · Cited by 18

The activity of information in biomolecular systems: a fundamental explanation of holonomic brain theory

Integrative Neuroscience Group, M. A., & Poznanski, R. R. (2022) · Journal of Multiscale Neuroscience · doi:10.56280/1546792195 · Cited by 18

Complex Berry phase and imperfect non-Hermitian phase transitions

Longhi, S., & Feng, L. H. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.085122 · Cited by 18

Different formulations of quantum mechanics

Moiseyev, N. (2011) · Cambridge University Press eBooks · doi:10.1017/cbo9780511976186.002

Basics of PT -Symmetric Quantum Mechanics & Zeeman Effect

Sharma, P. (2023) · Book Publisher International (a part of SCIENCEDOMAIN International) · doi:10.9734/bpi/fraps/v9/6111c

Calculations of time-dependent observables in non-Hermitian quantum mechanics: The problem and a possible solution

Gilary, I., Fleischer, A., & Moiseyev, N. (2005) · Physical Review A · doi:10.1103/physreva.72.012117 · Cited by 28

The Non-Hermitian quantum mechanics and its canonical structurePreprint

Zhang, Q. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2005.10474

Non-Hermitian Quantum Theory and its Holomorphic Representation: Introduction and Some ApplicationsPreprint

Kleefeld, F. (2004) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0408028 · Cited by 2