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]

    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. 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]

    51. 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]

    52. 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]

    53. 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]

    54. M. Feng, et al.
      Dynamical Control of Quantum Heat Engines Using Exceptional Points
      Nature Communications, in press (2022).