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@article{Gill_1986,
Title = {Deceptive convergence in Møller-plesset perturbation energies},
Volume = {132},
doi = {10.1016/0009-2614(86)80686-8},
pages = {16--22},
number = {1},
Journal = {Chemical Physics Letters},
author = {Gill, Peter M. W. and Radom, Leo},
Date = {1986-11-28},
}
@article{Gill_1988,
Title = {Why does unrestricted Møller-Plesset perturbation theory converge so slowly for spincontaminated wave functions?},
Volume = {89},
doi = {10.1063/1.455312},
pages = {7307--7314},
number = {12},
Journal = {J. Chem. Phys.},
author = {Gill, Peter M. W. and Pople, John A. and Radom, Leo and Nobes, Ross H.},
Date = {1988-12-15},
}
@article{Sergeev_2005,
Title = {On the nature of the Møller-Plesset critical point},
Volume = {123},
doi = {10.1063/1.1991854},
pages = {064105},
number = {6},
Journal = {J. Chem. Phys.},
author = {Sergeev, Alexey V. and Goodson, David Z. and Wheeler, Steven E. and Allen, Wesley D.},
Date = {2005-08-08},
}
@article{Sergeev_2006,
Title = {Singularities of Møller-Plesset energy functions},
Volume = {124},
doi = {10.1063/1.2173989},
pages = {094111},
number = {9},
Journal = {J. Chem. Phys.},
author = {Sergeev, Alexey V. and Goodson, David Z.},
Date = {2006-03-07},
}
@article{Stillinger_2000,
Title = {Mo/ller-Plesset convergence issues in computational quantum chemistry},
Volume = {112},
doi = {10.1063/1.481608},
pages = {9711--9715},
number = {22},
Journal = {J. Chem. Phys.},
author = {Stillinger, Frank H.},
Date = {2000-05-31},
}
@article{Olsen_1996,
Title = {Surprising cases of divergent behavior in Møller-Plesset perturbation theory},
Volume = {105},
doi = {10.1063/1.472352},
pages = {5082--5090},
Journal = {J. Chem. Phys.},
author = {Olsen, Jeppe and Christiansen, Ove and Koch, Henrik and Jørgensen, Poul},
Date = {1996-09-01}
}
@article{Olsen_2000,
Title = {Divergence in Møller-Plesset theory: A simple explanation based on a two-state model},
Volume = {112},
doi = {10.1063/1.481611},
pages = {9736--9748},
number = {22},
Journal = {J. Chem. Phys.},
author = {Olsen, Jeppe and Jørgensen, Poul and Helgaker, Trygve and Christiansen, Ove},
Date = {2000-05-31},
}
@article{Olsen_2019,
Title = {Convergence patterns and rates in two-state perturbation expansions},
Volume = {151},
doi = {10.1063/1.5110554},
pages = {084108},
number = {8},
Journal = {J. Chem. Phys.},
author = {Olsen, Jeppe and Jørgensen, Poul},
Date = {2019-08-28},
}
@article{Leininger_2000,
Title = {Is Mo/ller-Plesset perturbation theory a convergent ab initio method?},
Volume = {112},
doi = {10.1063/1.481764},
pages = {9213--9222},
number = {21},
Journal = {J. Chem. Phys.},
author = {Leininger, Matthew L. and Allen, Wesley D. and Schaefer, Henry F. and Sherrill, C. David},
Date = {2000-05-17},
}
@article{Moller_1934,
Title = {Note on an Approximation Treatment for Many-Electron Systems},
Volume = {46},
doi = {10.1103/PhysRev.46.618},
pages = {618--622},
number = {7},
Journal = {Phys. Rev.},
author = {Møller, Chr. and Plesset, M. S.},
Date = {1934-10-01},
}
@article{Handy_1985,
Title = {On the convergence of the Møller-Plesset perturbation series},
Volume = {68},
doi = {10.1007/BF00698753},
pages = {87--100},
number = {1},
Journal = {Theoret. Chim. Acta},
author = {Handy, N. C. and Knowles, P. J. and Somasundram, K.},
Date = {1985-07-01},
}
@article{Christiansen_1996,
Title = {On the inherent divergence in the Møller-Plesset series. The neon atom — a test case},
Volume = {261},
doi = {10.1016/0009-2614(96)00974-8},
pages = {369--378},
number = {3},
Journal = {Chemical Physics Letters},
author = {Christiansen, Ove and Olsen, Jeppe and Jørgensen, Poul and Koch, Henrik and Malmqvist, Per-Åke},
urlDate = {2020-07-07},
Date = {1996-10-18},
}
@incollection{Goodson_2004,
Title = {Singularity Structure of Møller-Plesset Perturbation Theory},
Volume = {47},
doi = {10.1016/S0065-3276(04)47011-7},
pages = {193--208},
bookTitle = {Advances in Quantum Chemistry},
publisher = {Academic Press},
author = {Goodson, David Z. and Sergeev, Alexey V.},
Date = {2004-01-01},
}
@article{Goodson_2011,
Title = {Resummation methods},
Volume = {2},
doi = {10.1002/wcms.92},
pages = {743--761},
number = {5},
journalTitle = {{WIREs} Computational Molecular Science},
author = {Goodson, David Z.},
Date = {2011},
}
@article{Katz_1962,
Title = {The analytic structure of many-body perturbation theory},
Volume = {29},
doi = {10.1016/0029-5582(62)90191-8},
pages = {353--372},
Journal = {Nuclear Physics},
author = {Katz, Amnon},
urlDate = {2020-07-07},
Date = {1962-01-01},
}
@article{Fukutome_1981,
Title = {Unrestricted Hartree-Fock theory and its applications to molecules and chemical reactions},
Volume = {20},
doi = {10.1002/qua.560200502},
pages = {955--1065},
number = {5},
journalTitle = {International Journal of Quantum Chemistry},
author = {Fukutome, Hideo},
Date = {1981},
}
@article{Stillinger_1966,
Title = {GroundState Energy of TwoElectron Atoms},
Volume = {45},
doi = {10.1063/1.1727380},
pages = {3623--3631},
number = {10},
Journal = {J. Chem. Phys.},
author = {Stillinger, Frank H.},
Date = {1966-11-15},
}
@article{Bittner_2012,
Author = {Bittner, S. and Dietz, B. and G\"unther, U. and Harney, H. L. and Miski-Oglu, M. and Richter, A. and Sch\"afer, F.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:25:31 +0100},
doi = {10.1103/PhysRevLett.108.024101},
Journal = {Phys. Rev. Lett.},
Month = jan,
Number = {2},
Pages = {024101},
Title = {PT Symmetry and {{Spontaneous Symmetry Breaking}} in a {{Microwave Billiard}}},
Volume = {108},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.108.024101},
}
@article{Chong_2011,
Author = {Chong, Y. D. and Ge, Li and Stone, A. Douglas},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-27 20:43:12 +0100},
doi = {10.1103/PhysRevLett.106.093902},
Journal = {Phys. Rev. Lett.},
Month = mar,
Number = {9},
Pages = {093902},
Title = {PT Symmetry Breaking and Laser Absorber Modes in Optical Scattering Systems},
Volume = {106},
Year = {2011},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.106.093902},
}
@article{Chtchelkatchev_2012,
Author = {Chtchelkatchev, N. M. and Golubov, A. A. and Baturina, T. I. and Vinokur, V. M.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:10 +0100},
doi = {10.1103/PhysRevLett.109.150405},
Journal = {Phys. Rev. Lett.},
Month = oct,
Number = {15},
Pages = {150405},
Title = {Stimulation of the Fluctuation Superconductivity by PT Symmetry},
Volume = {109},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.109.150405},
}
@article{Doppler_2016,
Author = {Doppler, J\"org and Mailybaev, Alexei A. and B\"ohm, Julian and Kuhl, Ulrich and Girschik, Adrian and Libisch, Florian and Milburn, Thomas J. and Rabl, Peter and Moiseyev, Nimrod and Rotter, Stefan},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
doi = {10.1038/nature18605},
Journal = {Nature},
Month = sep,
Number = {7618},
Pages = {76-79},
Title = {Dynamically Encircling an Exceptional Point for Asymmetric Mode Switching},
Volume = {537},
Year = {2016},
Bdsk-Url-1 = {https://doi.org/10.1038/nature18605},
}
@article{Guo_2009,
Author = {Guo, A. and Salamo, G. J. and Duchesne, D. and Morandotti, R. and {Volatier-Ravat}, M. and Aimez, V. and Siviloglou, G. A. and Christodoulides, D. N.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:27 +0100},
doi = {10.1103/PhysRevLett.103.093902},
Journal = {Phys. Rev. Lett.},
Month = aug,
Number = {9},
Pages = {093902},
Title = {Observation of PT Symmetry Breaking in Complex Optical Potentials},
Volume = {103},
Year = {2009},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.103.093902},
}
@article{Hang_2013,
Author = {Hang, Chao and Huang, Guoxiang and Konotop, Vladimir V.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:38 +0100},
doi = {10.1103/PhysRevLett.110.083604},
Journal = {Phys. Rev. Lett.},
Month = feb,
Number = {8},
Pages = {083604},
Title = {PT Symmetry with a System of Three-Level Atoms},
Volume = {110},
Year = {2013},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.110.083604},
}
@article{Liertzer_2012,
Author = {Liertzer, M. and Ge, Li and Cerjan, A. and Stone, A. D. and T\"ureci, H. E. and Rotter, S.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:26:53 +0100},
doi = {10.1103/PhysRevLett.108.173901},
Journal = {Phys. Rev. Lett.},
Month = apr,
Number = {17},
Pages = {173901},
Title = {Pump-Induced Exceptional Points in Lasers},
Volume = {108},
Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.108.173901},
}
@article{Longhi_2010,
Author = {Longhi, Stefano},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:08 +0100},
doi = {10.1103/PhysRevLett.105.013903},
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Number = {1},
Pages = {013903},
Title = {Optical Realization of Relativistic Non-Hermitian Quantum Mechanics},
Volume = {105},
Year = {2010},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.105.013903},
}
@article{Peng_2014,
Author = {Peng, B. and Ozdemir, . K. and Rotter, S. and Yilmaz, H. and Liertzer, M. and Monifi, F. and Bender, C. M. and Nori, F. and Yang, L.},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
doi = {10.1126/science.1258004},
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Pages = {328-332},
Title = {Loss-Induced Suppression and Revival of Lasing},
Volume = {346},
Year = {2014},
Bdsk-Url-1 = {https://doi.org/10.1126/science.1258004},
}
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Author = {Peng, Bo and \"Ozdemir, {\c S}ahin Kaya and Lei, Fuchuan and Monifi, Faraz and Gianfreda, Mariagiovanna and Long, Gui Lu and Fan, Shanhui and Nori, Franco and Bender, Carl M. and Yang, Lan},
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Date-Modified = {2019-01-20 22:03:11 +0100},
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Bdsk-Url-1 = {https://doi.org/10.1038/nphys2927},
}
@article{Regensburger_2012,
Author = {Regensburger, Alois and Bersch, Christoph and Miri, Mohammad-Ali and Onishchukov, Georgy and Christodoulides, Demetrios N. and Peschel, Ulf},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
doi = {10.1038/nature11298},
Journal = {Nature},
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@article{Ruter_2010,
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Pages = {192-195},
Title = {Observation of Parity\textendash{}Time Symmetry in Optics},
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@article{Schindler_2011,
Author = {Schindler, Joseph and Li, Ang and Zheng, Mei C. and Ellis, F. M. and Kottos, Tsampikos},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-21 16:27:21 +0100},
doi = {10.1103/PhysRevA.84.040101},
Journal = {Phys. Rev. A},
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Pages = {040101},
Title = {Experimental Study of Active \emph{LRC} Circuits with PT Symmetries},
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Year = {2011},
Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.84.040101},
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@article{Szameit_2011,
Author = {Szameit, Alexander and Rechtsman, Mikael C. and {Bahat-Treidel}, Omri and Segev, Mordechai},
Date-Added = {2019-01-20 22:03:11 +0100},
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doi = {10.1103/PhysRevA.84.021806},
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Title = {Enhanced Magnetic Resonance Signal of Spin-Polarized {{Rb}} Atoms near Surfaces of Coated Cells},
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Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevA.81.042903},
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Date-Added = {2019-01-20 22:03:11 +0100},
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Date-Added = {2019-01-20 22:03:11 +0100},
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Title = {Observation of an Anti-PT-Symmetric Exceptional Point and Energy-Difference Conserving Dynamics in Electrical Circuit Resonators},
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Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1038/s41467-018-04690-y},
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Author = {El-Ganainy, Ramy and Makris, Konstantinos G. and Khajavikhan, Mercedeh and Musslimani, Ziad H. and Rotter, Stefan and Christodoulides, Demetrios N.},
Date-Added = {2019-01-30 12:10:10 +0100},
Date-Modified = {2019-01-30 12:10:10 +0100},
doi = {10.1038/nphys4323},
Journal = {Nat. Phys.},
Language = {en},
Month = jan,
Number = {1},
Pages = {11-19},
Title = {Non-Hermitian Physics and PT Symmetry},
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Bdsk-Url-1 = {https://doi.org/10.1038/nphys4323},
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Author = {Heiss, W D},
Date-Added = {2019-01-20 22:03:11 +0100},
Date-Modified = {2019-01-20 22:03:11 +0100},
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Title = {The Physics of Exceptional Points},
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Year = {2012},
Bdsk-Url-1 = {https://doi.org/10.1088/1751-8113/45/44/444016},
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Author = {Heiss, W D and Sannino, A L},
Date-Added = {2019-01-20 22:03:11 +0100},
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Date-Added = {2019-01-20 22:03:11 +0100},
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Title = {Circling Exceptional Points},
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Year = {2016},
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Author = {W. D. Heiss},
Date-Added = {2018-12-06 20:49:57 +0100},
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Author = {N. Moiseyev},
Date-Added = {2018-10-16 13:34:32 +0200},
Date-Modified = {2018-10-16 13:35:43 +0200},
Publisher = {Cambridge University Press},
Title = {Non-Hermitian Quantum Mechanics},
Year = {2011},
}
@book{SzaboBook,
Address = {New York},
Author = {A. Szabo and N. S. Ostlund},
Date-Added = {2019-01-22 22:33:30 +0100},
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Keywords = {qmech},
Publisher = {McGraw-Hill},
Title = {Modern quantum chemistry},
Year = {1989},
}
@article{Lepetit_1988,
title = {Origins of the poor convergence of manybody perturbation theory expansions from unrestricted Hartree-Fock zerothorder descriptions},
volume = {89},
doi = {10.1063/1.455170},
pages = {998--1008},
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Journal = {J. Chem. Phys.},
author = {Lepetit, M. B. and Pélissier, M. and Malrieu, J. P.},
date = {1988-07-15},
}
@article{Cremer_1996,
title = {Sixth-Order Møller-Plesset Perturbation Theory On the Convergence of the MPn Series},
volume = {100},
doi = {10.1021/jp952815d},
pages = {6173--6188},
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journaltitle = {The Journal of Physical Chemistry},
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author = {Cremer, Dieter and He, Zhi},
date = {1996-01-01},
}
@article{Baker_1971,
title = {Singularity Structure of the Perturbation Series for the Ground-State Energy of a Many-Fermion System},
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doi = {10.1103/RevModPhys.43.479},
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date = {1971-10-01},
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@article{Cejnar_2005,
title = {Thermodynamic analogy for quantum phase transitions at zero temperature},
volume = {71},
doi = {10.1103/PhysRevC.71.011304},
pages = {011304},
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shortjournal = {Phys. Rev. C},
author = {Cejnar, Pavel and Heinze, Stefan and Dobeš, Jan},
date = {2005-01-26},
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@article{Stransky_2018,
title = {Exceptional points near first- and second-order quantum phase transitions},
volume = {97},
doi = {10.1103/PhysRevE.97.012112},
pages = {012112},
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shortjournal = {Phys. Rev. E},
author = {Stránský, Pavel and Dvořák, Martin and Cejnar, Pavel},
date = {2018-01-11},
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@article{Cejnar_2007,
title = {Coulomb Analogy for Non-Hermitian Degeneracies near Quantum Phase Transitions},
volume = {99},
doi = {10.1103/PhysRevLett.99.100601},
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shortjournal = {Phys. Rev. Lett.},
author = {Cejnar, Pavel and Heinze, Stefan and Macek, Michal},
date = {2007-09-07},
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@article{Heiss_1988,
title = {Exceptional points of a Hamiltonian and phase transitions in finite systems},
volume = {329},
doi = {10.1007/BF01283767},
pages = {133--138},
number = {2},
journaltitle = {Zeitschrift für Physik A Atomic Nuclei},
shortjournal = {Z. Physik A - Atomic Nuclei},
author = {Heiss, W. D.},
date = {1988-06-01},
}
@article{Heiss_2002,
title = {Universal relationship between a quantum phase transition and instability points of classical systems},
volume = {66},
doi = {10.1103/PhysRevE.66.016217},
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