Measuring the knot of degeneracies and the eigenvalue braids near a third-order exceptional point
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N. Read | L. Jiang | J. Höller | N. Kralj | J. Harris | Y. Patil | P. A. Henry | C. Guria | Y. Zhang | L. Jiang
[1] S. Fan,et al. Topological complex-energy braiding of non-Hermitian bands , 2021, Nature.
[2] N. Mitchell,et al. Real-space origin of topological band gaps, localization, and reentrant phase transitions in gyroscopic metamaterials. , 2021, Physical review. E.
[3] D. Garling. Galois Theory and Its Algebraic Background , 2021 .
[4] E. Zhao,et al. Knots and Non-Hermitian Bloch Bands. , 2020, Physical review letters.
[5] J. Wiersig. Review of exceptional point-based sensors , 2020 .
[6] S. Fan,et al. Topological Classification of Non-Hermitian Hamiltonians , 2019, 1911.12748.
[7] Q. Zhong,et al. Exceptional-Point-Based Optical Amplifiers , 2019, Physical Review Applied.
[8] S. Fan,et al. Dynamics for Encircling an Exceptional Point in a Nonlinear Non-Hermitian System , 2019, 2020 Conference on Lasers and Electro-Optics (CLEO).
[9] Andrea Alù,et al. Enhanced Sensing and Nondegraded Thermal Noise Performance Based on PT-Symmetric Electronic Circuits with a Sixth-Order Exceptional Point. , 2019, Physical review letters.
[10] Yogesh N. Joglekar,et al. Quantum state tomography across the exceptional point in a single dissipative qubit , 2019, Nature Physics.
[11] M. Miri,et al. Exceptional points in optics and photonics , 2019, Science.
[12] Z. Q. Zhang,et al. Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators , 2018, Nature Communications.
[13] D. Christodoulides,et al. Winding around non-Hermitian singularities , 2018, Nature Communications.
[14] E. Bergholtz,et al. Exceptional links and twisted Fermi ribbons in non-Hermitian systems , 2018, Physical Review A.
[15] Liang Fu,et al. Topological Band Theory for Non-Hermitian Hamiltonians. , 2017, Physical review letters.
[16] Shanhui Fan,et al. Robust wireless power transfer using a nonlinear parity–time-symmetric circuit , 2017, Nature.
[17] H. Xu,et al. Exceptional points in an optomechanical system , 2017, 2017 Conference on Lasers and Electro-Optics (CLEO).
[18] Franco Nori,et al. Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems. , 2016, Physical review letters.
[19] Ulrich Kuhl,et al. Dynamically encircling an exceptional point for asymmetric mode switching , 2016, Nature.
[20] H. Xu,et al. Topological energy transfer in an optomechanical system with exceptional points , 2016, Nature.
[21] Jahrme Risner,et al. Braid Groups , 2016 .
[22] Z. Q. Zhang,et al. Coalescence of exceptional points and phase diagrams for one-dimensional PT -symmetric photonic crystals , 2015, 1509.07948.
[23] Z. Q. Zhang,et al. The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization , 2015, 1509.06886.
[24] D. Kleckner,et al. Topological mechanics of gyroscopic metamaterials , 2015, Proceedings of the National Academy of Sciences.
[25] F. Nori,et al. Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard , 2015, Nature.
[26] Ling Lu,et al. Spawning rings of exceptional points out of Dirac cones , 2015, Nature.
[27] N. Flowers-Jacobs,et al. Optically mediated hybridization between two mechanical modes. , 2013, Physical review letters.
[28] Soo-Young Lee,et al. Geometric phase around multiple exceptional points , 2012 .
[29] Soo-Young Lee,et al. Analysis of multiple exceptional points related to three interacting eigenmodes in a non-Hermitian Hamiltonian , 2011, 1109.4216.
[30] M. Berry,et al. Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon , 2011 .
[31] E. Graefe,et al. Signatures of three coalescing eigenfunctions , 2011, 1110.1489.
[32] N. Moiseyev,et al. On the observability and asymmetry of adiabatic state flips generated by exceptional points , 2011 .
[33] E. Torrontegui,et al. Shortcuts to adiabaticity for non-Hermitian systems , 2011, 1106.2776.
[34] M. Segev,et al. PT-symmetry in honeycomb photonic lattices , 2011, 1103.3389.
[35] M. Berry,et al. Transitionless quantum driving , 2009 .
[36] J. Main,et al. Exceptional points in the spectra of atoms in external fields , 2009, 0902.4777.
[37] A. M. Jayich,et al. Dispersive optomechanics: a membrane inside a cavity , 2008, 0805.3723.
[38] Z. Musslimani,et al. Beam dynamics in PT symmetric optical lattices. , 2008, Physical review letters.
[39] H. Korsch,et al. A non-Hermitian symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points , 2008, 0802.3164.
[40] W. Heiss. Chirality of wavefunctions for three coalescing levels , 2007, 0708.1392.
[41] H. Korsch,et al. Crossing scenario for a nonlinear non-Hermitian two-level system , 2006 .
[42] Biao Wu,et al. Geometric phase for adiabatic evolutions of general quantum states. , 2005, Physical review letters.
[43] E. Black. An introduction to Pound–Drever–Hall laser frequency stabilization , 2001 .
[44] Zhao,et al. Steering an eigenstate to a destination , 2000, Physical review letters.
[45] G. Nenciu,et al. On the adiabatic theorem for nonself-adjoint Hamiltonians , 1992 .
[46] Yong-Shi Wu. General Theory for Quantum Statistics in Two-Dimensions , 1984 .
[47] John L. Hall,et al. Laser phase and frequency stabilization using an optical resonator , 1983 .
[48] Robert Gilmore,et al. Catastrophe Theory for Scientists and Engineers , 1981 .
[49] V. Arnold. ON MATRICES DEPENDING ON PARAMETERS , 1971 .
[50] V. Arnold. On some topological invariants of algebraic functions , 1970 .
[51] E. Artin. The theory of braids. , 1950, American scientist.
[52] R. Pound,et al. Electronic frequency stabilization of microwave oscillators. , 1946, The Review of scientific instruments.
[53] A. Hurwitz. Ueber Riemann'sche Flächen mit gegebenen Verzweigungspunkten , 1891 .