Non-Hermitian Physics: including Non-Hermitian Quantum Mechanics and Optics, as well as PT-Symmetry and Exceptional Points

1. B. Peng, S.K. Ozdemir, W. Chen, F. Nori, L. Yang
   What is and what is not electromagnetically induced transparency in whispering-gallery microcavities
   Nature Communications 5, 5082 (2014). [PDF][Link][arXiv]
   The supplementary material is here [PDF][Link].

2. B. Peng, S.K. Ozdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C. M. Bender, F. Nori, L. Yang
   Loss-induced suppression and revival of lasing
   Science 346, 328-332 (2014). [PDF][Link][arXiv]
   The supplementary material is here [PDF][Link].
   Also featured in a "Perspective" Science 346, 304-305 (2014) [PDF][Link].

3. B. Peng, S.K. Ozdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, L. Yang
   Parity-time-symmetric whispering-gallery microcavities
   Nature Physics 10, 394-398 (2014). [PDF][Link][arXiv]
   The supplementary material is here [PDF][Link]
   Featured in a Nature Physics "News & Views" [PDF][Link]

4. H. Jing, S.K. Ozdemir, X.Y. Lu, J. Zhang, L. Yang, F. Nori
   PT-Symmetric Phonon Laser
   Phys. Rev. Lett. 113, 053604 (2014). [PDF][Link][arXiv]
   The supplementary material is here [PDF][Link]

5. H. Jing, S.K. Ozdemir, Z. Geng, J. Zhang, X.Y. Lu, B. Peng, L. Yang, F. Nori
   Optomechanically-Induced Transparency in parity-time-symmetric microresonators
   Scientific Reports 5, 9663 (2015). [PDF][Link][arXiv][Correction]

6. J. Zhang, B. Peng, S.K. Ozdemir, Y.X. Liu, H. Jing, X.Y. Lu, Y.L. Liu, L. Yang, F. Nori
   Giant nonlinearity via breaking parity-time symmetry: A route to low-threshold phonon diodes
   Phys. Rev. B 92, 115407 (2015). [PDF][Link][arXiv]

7. T. Gao, E. Estrecho, K.Y. Bliokh, T.C.H. Liew, M.D. Fraser, S. Brodbeck, M. Kamp, C. Schneider, S. Höfling, Y. Yamamoto, F. Nori, Y.S. Kivshar, A. Truscott, R. Dall, E.A. Ostrovskaya
   Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
   Nature 526, 15522 (2015). [PDF][Link][arXiv]

8. F. Monifi, J. Zhang, S.K. Ozdemir, B. Peng, Y.X. Liu, F. Bo, F. Nori, L. Yang
   Optomechanically induced stochastic resonance and chaos transfer between optical fields
   Nature Photonics 10, 399–405 (2016). [PDF][Link][Suppl. Info.]
   Nature Photonics Cover [PNG]
   Featured in a "News and Views”: Optomechanics: Vibrations copying optical chaos,
   Nature Photonics 10, 366–368 (2016). [PDF][Link]

9. Z.P. Liu, J. Zhang, S.K. Ozdemir, B. Peng, H. Jing, X.Y. Lu, C.W. Li, L. Yang, F. Nori, Y.X. Liu
   Metrology with PT-Symmetric Cavities: Enhanced Sensitivity near the PT-Phase Transition
   Phys. Rev. Lett. 117, 110802 (2016). [PDF][Link][arXiv][Suppl. Info.]

10. M. Asano, K.Y. Bliokh, Y.P. Bliokh, A.G. Kofman, R. Ikuta, T. Yamamoto, Y.S. Kivshar, L. Yang, N. Imoto, S.K. Ozdemir, F. Nori
    Anomalous time delays and quantum weak measurements in optical micro-resonators
    Nature Communications 7, 13488 (2016). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]

11. D. Leykam, K.Y. Bliokh, C. Huang, Y.D. Chong, F. Nori
    Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
    Phys. Rev. Lett. 118, 040401 (2017). [PDF][Link][arXiv][Suppl. Info.]

12. Y.L. Liu, R. Wu, J. Zhang, S.K. Ozdemir, L. Yang, F. Nori, Y.X. Liu
    Controllable optical response by modifying the gain and loss of a mechanical resonator and cavity mode in an optomechanical system
    Phys. Rev. A 95, 013843 (2017). [PDF][Link][arXiv]

13. H. Jing, S.K. Ozdemir, H. Lu, F. Nori
    High-order exceptional points in optomechanics
    Scientific Reports 7, 3386 (2017). [PDF][Link][arXiv]

14. H. Lu, S.K. Ozdemir, L.M. Kuang, F. Nori, H. Jing
    Exceptional Points in Random-Defect Phonon Lasers
    Phys. Rev. Applied 8, 044020 (2017). [PDF][Link][arXiv]

15. F. Quijandría, U. Naether, S.K. Ozdemir, F. Nori, D. Zueco
    PT-symmetric circuit QED
    Phys. Rev. A 97, 053846 (2018). [PDF][Link][arXiv]
    Featured in Physics, Editors' Suggestion

16. J. Zhang, B. Peng, S.K. Ozdemir, K. Pichler, D.O. Krimer, G. Zhao, F. Nori, Y.X. Liu, S. Rotter, L. Yang
    A phonon laser operating at an exceptional point
    Nature Photonics 12, pp. 479–484 (2018). [PDF][Link][Suppl. Info.]

17. K.Y. Bliokh, D. Leykam, M. Lein, F. Nori
    Topological non-Hermitian origin of surface Maxwell waves
    Nature Communications 10, 580 (2019). [PDF][Link_1][Link_2][arXiv][Suppl. Info.]

18. T. Liu, Y.R. Zhang, Q. Ai, Z. Gong, K. Kawabata, M. Ueda, F. Nori
    Second-Order Topological Phases in Non-Hermitian Systems
    Phys. Rev. Lett. 122, 076801 (2019). [PDF][Link][arXiv][Suppl. Info.]

19. S.K. Ozdemir, S. Rotter, F. Nori, L. Yang
    Parity–time symmetry and exceptional points in photonics
    Nature Materials 18, pp. 783–798 (2019). [PDF][Link_1][Link_2]

20. I.I. Arkhipov, A. Miranowicz, O. Di Stefano, R. Stassi, S. Savasta, F. Nori, S.K. Ozdemir
    Scully-Lamb quantum laser model for parity-time-symmetric whispering-gallery microcavities: Gain saturation effects and nonreciprocity
    Phys. Rev. A 99, 053806 (2019). [PDF][Link][arXiv]

21. Z.Y. Ge, Y.R. Zhang, T. Liu, S.W. Li, H. Fan, F. Nori
    Topological band theory for non-Hermitian systems from the Dirac equation
    Phys. Rev. B 100, 054105 (2019). [PDF][Link][arXiv]

22. C.Y. Ju, A. Miranowicz, G.Y. Chen, F. Nori
    Non-Hermitian Hamiltonians and no-go theorems in quantum information
    Phys. Rev. A 100, 062118 (2019). [PDF][Link][arXiv]

23. F. Minganti, A. Miranowicz, R.W. Chhajlany, F. Nori
    Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
    Phys. Rev. A 100, 062131 (2019). [PDF][Link][arXiv]

24. I.I. Arkhipov, A. Miranowicz, F. Minganti, F. Nori
    Quantum and semiclassical exceptional points of a linear system of coupled cavities with losses and gain within the Scully-Lamb laser theory
    Phys. Rev. A 101, 013812 (2020). [PDF][Link][arXiv]

25. D. Huybrechts, F. Minganti, F. Nori, M. Wouters, N. Shammah
    Validity of mean-field theory in a dissipative critical system: Liouvillian gap, PT-symmetric antigap, and permutational symmetry in the XYZ model
    Phys. Rev. B 101, 214302 (2020). [PDF][Link][arXiv]

26. F. Minganti, A. Miranowicz, R.W. Chhajlany, I.I. Arkhipov, F. Nori
    Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
    Phys. Rev. A 101, 062112 (2020). [PDF][Link][arXiv]

27. I.I. Arkhipov, A. Miranowicz, F. Minganti, F. Nori
    Liouvillian exceptional points of any order in dissipative linear bosonic systems: Coherence functions and switching between PT and anti-PT symmetries
    Phys. Rev. A 102, 033715 (2020). [PDF][Link][arXiv]

28. T. Liu, J.J. He, T. Yoshida, Z.L. Xiang, F. Nori
    Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
    Phys. Rev. B 102, 235151 (2020). [PDF][Link][arXiv]
    Editors' Suggestion

29. G.Q. Zhang, Z. Chen, Da Xu, N. Shammah, M. Liao, T.F. Li, L. Tong, S.Y. Zhu, F. Nori, J.Q. You
    Exceptional Point and Cross-Relaxation Effect in a Hybrid Quantum System
    PRX Quantum 2, 020307 (2021). [PDF][Link][arXiv]

30. L. Bao, B. Qi, D. Dong, F. Nori
    Fundamental limits for reciprocal and nonreciprocal non-Hermitian quantum sensing
    Phys. Rev. A 103, 042418 (2021). [PDF][Link][arXiv]

31. F. Minganti, V. Macri, A. Settineri, S. Savasta, F. Nori
    Dissipative state transfer and Maxwell's demon in single quantum trajectories: Excitation transfer between two noninteracting qubits via unbalanced dissipation rates
    Phys. Rev. A 103, 052201 (2021). [PDF][Link][arXiv]

32. I.I. Arkhipov, F. Minganti, A. Miranowicz, F. Nori
    Generating high-order quantum exceptional points in synthetic dimensions
    Phys. Rev. A 104, 012205 (2021). [PDF][Link][arXiv]

33. Z.Y. Zhou, C. Gneiting, J.Q. You, F. Nori
    Generating and detecting entangled cat states in dissipatively coupled degenerate optical parametric oscillators
    Phys. Rev. A 104, 013715 (2021). [PDF][Link][arXiv]

34. G. Piccitto, M. Wauters, F. Nori, N. Shammah
    Symmetries and conserved quantities of boundary time crystals in generalized spin models
    Phys. Rev. B 104, 014307 (2021). [PDF][Link][arXiv]

35. Z.Y. Zhou, Z.L. Xiang, J.Q. You, F. Nori
    Work statistics in non-Hermitian evolutions with Hermitian endpoints
    Phys. Rev. E 104, 034107 (2021). [PDF][Link][arXiv]

36. K. Funo, N. Lambert, F. Nori
    General Bound on the Performance of Counter-Diabatic Driving Acting on Dissipative Spin Systems
    Phys. Rev. Lett. 127, 150401 (2021). [PDF][Link][arXiv]

37. Y.L. Fang, J.L. Zhao, Y. Zhang, D.X. Chen, Q.C. Wu, Y.H. Zhou, C.P. Yang, F. Nori
    Experimental demonstration of coherence flow in PT- and anti-PT-symmetric systems
    Communications Physics 4, 223 (2021). [PDF][Link_1][Link_2][arXiv][Suppl. Info.]

38. T. Liu, J.J. He, Z. Yang, F. Nori
    Higher-Order Weyl-Exceptional-Ring Semimetals
    Phys. Rev. Lett. 127, 196801 (2021). [PDF][Link][arXiv][Suppl. Info.]

39. H. Xu, D.G. Lai, Y.B. Qian, B.P. Hou, A. Miranowicz, F. Nori
    Optomechanical dynamics in the PT- and broken-PT-symmetric regimes
    Phys. Rev. A 104, 053518 (2021). [PDF][Link][arXiv]

40. W. Nie, M. Antezza, Y.X. Liu, F. Nori
    Dissipative Topological Phase Transition with Strong System-Environment Coupling
    Phys. Rev. Lett. 127, 250402 (2021). [PDF][Link][arXiv][Suppl. Info.]
    Editors' Suggestion

41. F. Minganti, I.I. Arkhipov, A. Miranowicz, F. Nori
    Liouvillian spectral collapse in the Scully-Lamb laser model
    Phys. Rev. Research 3, 043197 (2021). [PDF][Link][arXiv]

42. F. Minganti, I.I. Arkhipov, A. Miranowicz, F. Nori
    Continuous Dissipative Phase Transitions with or without Symmetry Breaking
    New Journal of Physics 23, 122001 (2021). [PDF][Link][arXiv]

43. C. Gneiting, A.V. Rozhkov, F. Nori
    Jump-time unraveling of Markovian open quantum systems
    Phys. Rev. A 104, 062212 (2021). [PDF][Link][arXiv]

44. M. Cirio, P.C. Kuo, Y.N. Chen, F. Nori, N. Lambert
    Canonical derivation of the fermionic influence superoperator
    Phys. Rev. B 105, 035121 (2022). [PDF][Link][arXiv]
    Editors' suggestion

45. C. Leefmans, A. Dutt, J. Williams, L. Yuan, M. Parto, F. Nori, S. Fan, A. Marandi
    Topological dissipation in a time-multiplexed photonic resonator network
    Nature Physics 18, pp. 442–449 (2022). [PDF][Link_1][Link_2][arXiv][Suppl. Info.]
    “News and Views” article featuring our work: H. Buljan, et al., Loss leads the way to utopia [Link]

46. L. Tang, J. Tang, M. Chen, F. Nori, M. Xiao, K. Xia
    Quantum Squeezing Induced Optical Nonreciprocity
    Phys. Rev. Lett. 128, 083604 (2022). [PDF][Link][arXiv][Suppl. Info.]

47. C. Gneiting, A. Koottandavida, A.V. Rozhkov, F. Nori
    Unraveling the topology of dissipative quantum systems
    Phys. Rev. Research 4, 023036 (2022). [PDF][Link][arXiv]

48. C.Y. Ju, A. Miranowicz, F. Minganti, C.T. Chan, G.Y. Chen, F. Nori
    Einstein's quantum elevator: Hermitization of non-Hermitian Hamiltonians via a generalized vielbein formalism
    Phys. Rev. Research 4, 023070 (2022). [PDF][Link][arXiv]

49. J.S. Tang, W. Nie, L. Tang, M. Chen, X. Su, Y. Lu, F. Nori, K. Xia
    Nonreciprocal Single-Photon Band Structure
    Phys. Rev. Lett. 128, 203602 (2022). [PDF][Link][arXiv][Suppl. Info.]

50. R. Huang, S.K. Ozdemir, J.Q. Liao, F. Minganti, L.M. Kuang, F. Nori, H. Jing
    Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points
    Laser & Photonics Reviews 16, 2100430 (2022). [PDF][Link][arXiv]

51. Y.L. Fang, J.L. Zhao, D.X. Chen, Y.H. Zhou, Y. Zhang, Q.C. Wu, C.P. Yang, F. Nori
    Entanglement dynamics in anti-PT-symmetric systems
    Phys. Rev. Research 4, 033022 (2022). [PDF][Link][arXiv]

52. J.D. Lin, C.Y. Huang, N. Lambert, G.Y. Chen, F. Nori, Y.N. Chen
    Space-time dual quantum Zeno effect: Interferometric engineering of open quantum system dynamics
    Phys. Rev. Research 4, 033143 (2022). [PDF][Link][arXiv]

53. Z.Y. Zhou, C. Gneiting, W. Qin, J.Q. You, F. Nori
    Enhancing dissipative cat-state generation via nonequilibrium pump fields
    Phys. Rev. A 106, 023714 (2022). [PDF][Link][arXiv]

54. D.X. Chen, Y. Zhang, J.L. Zhao, Q.C. Wu, Y.L. Fang, C.P. Yang, F. Nori
    Quantum state discrimination in a PT-symmetric system
    Phys. Rev. A 106, 022438 (2022). [PDF][Link][arXiv]

55. F. Minganti, D. Huybrechts, C. Elouard, F. Nori, I.I. Arkhipov
    Creating and controlling exceptional points of non-Hermitian Hamiltonians via homodyne Lindbladian invariance
    Phys. Rev. A 106, 042210 (2022). [PDF][Link][arXiv]

56. J.W. Zhang, J.Q. Zhang, G.Y. Ding, J.C. Li, J.T. Bu, B. Wang, L.L. Yan, S.L. Su, L. Chen, F. Nori, S.K. Ozdemir, F. Zhou, H. Jing, M. Feng
    Dynamical control of quantum heat engines using exceptional points
    Nature Communications 13, 6225 (2022). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]

57. Q.C. Wu, J.L. Zhao, Y.L. Fang, Y. Zhang, D.X. Chen, C.P. Yang, F. Nori
    Extension of Noether's theorem in PT-symmetry systems and its experimental demonstration in an optical setup
    Science China: Physics, Mechanics & Astronomy 66, 240312 (2023). [PDF][Link][arXiv]

58. M. Parto, C. Leefmans, J. Williams, F. Nori, A. Marandi
    Non-Abelian effects in dissipative photonic topological lattices
    Nature Communications 14, 1440 (2023). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]

59. N. Lambert, T. Raheja, S. Cross, P. Menczel, S. Ahmed, A. Pitchford, D. Burgarth, F. Nori
    QuTiP-BoFiN: A bosonic and fermionic numerical hierarchical-equations-of-motion library with applications in light-harvesting, quantum control, and single-molecule electronics
    Phys. Rev. Research 5, 013181 (2023). [PDF][Link][arXiv]

60. I.I. Arkhipov, A. Miranowicz, F. Minganti, S.K. Ozdemir, F. Nori
    Dynamically crossing diabolic points while encircling exceptional curves: A programmable symmetric-asymmetric multimode switch
    Nature Communications 14, 2076 (2023). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]

61. M. Cirio, N. Lambert, P. Liang, P.C. Kuo, Y.N. Chen, P. Menczel, K. Funo, Franco Nori
    Pseudofermion method for the exact description of fermionic environments: From single-molecule electronics to the Kondo resonance
    Phys. Rev. Research 5, 033011 (2023). [PDF][Link][arXiv]

62. Z.Y. Zhou, C. Gneiting, J.Q. You, F. Nori
    Coherent-cluster-state generation in networks of degenerate optical parametric oscillators
    Phys. Rev. A 108, 023704 (2023). [PDF][Link][arXiv]

63. K.Y. Bliokh, E. Karimi, M.J. Padgett, M.A. Alonso, M.R. Dennis, A. Dudley, A. Forbes, S. Zahedpour, S.W. Hancock, H.M. Milchberg, S. Rotter, F. Nori, S.K. Ozdemir, N. Bender, H. Cao, P.B. Corkum, C. Hernandez-Garcia, H. Ren, Y. Kivshar, M.G. Silveirinha, N. Engheta, A. Rauschenbeutel, P. Schneeweiss, J. Volz, D. Leykam, D.A. Smirnova, K. Rong, B. Wang, E. Hasman, M.F. Picardi, A.V. Zayats, F.J. Rodriguez-Fortuno, C. Yang, J. Ren, A.B. Khanikaev, A. Alu, E. Brasselet, M. Shats, J. Verbeeck, P. Schattschneider, D. Sarenac, D.G. Cory, D.A. Pushin, M. Birk, A. Gorlach, I. Kaminer, F. Cardano, L. Marrucci, M. Krenn, F. Marquardt
    Roadmap on structured waves
    Journal of Optics 25, 103001 (2023). [PDF][Link][arXiv]

64. W. Nie, T. Shi, Y.X. Liu, F. Nori
    Non-Hermitian Waveguide Cavity QED with Tunable Atomic Mirrors
    Phys. Rev. Lett. 131, 103602 (2023). [PDF][Link][arXiv][Suppl. Info.]

65. Y.T. Huang, P.C. Kuo, N. Lambert, M. Cirio, S. Cross, S.L. Yang, F. Nori, Y.N. Chen
    An efficient Julia framework for hierarchical equations of motion in open quantum systems
    Communications Physics 6, 313 (2023). [PDF][Link][arXiv][Reviewers' Comments]

66. I.I. Arkhipov, A. Miranowicz, F. Nori, S.K. Ozdemir, F. Minganti
    Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
    Phys. Rev. Research 5, 043092 (2023). [PDF][Link][arXiv]

67. X. Zhou, X. Ren, D. Xiao, J. Zhang, R. Huang, Z. Li, X. Sun, X. Wu, C.W. Qiu, F. Nori, H. Jing
    Higher-order singularities in phase-tracked electromechanical oscillators
    Nature Communications 14, 7944 (2023). [PDF][Link][arXiv][Suppl. Info.][Reviewers' Comments]

68. Y.H. Chen, Y. Qiu, A. Miranowicz, N. Lambert, W. Qin, R. Stassi, Y. Xia, S.B. Zheng, F. Nori
    Sudden change of the photon output field marks phase transitions in the quantum Rabi model
    Communications Physics 7, 5 (2024). [PDF][Link][arXiv][Suppl. Info.]

69. C.R. Leefmans, M. Parto, J. Williams, G.H.Y. Li, A. Dutt, F. Nori, A. Marandi
    Topological temporally mode-locked laser
    Nature Physics, (2024). [PDF][Link][arXiv][Suppl. Info.]

70. C.Y. Ju, A. Miranowicz, Y.N. Chen, G.Y. Chen, F. Nori
    Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
    Quantum 8, 1277 (2024). [PDF][Link][arXiv]