S. N. Ghosh and Y. D. Chong, “Hidden singularities and asymmetric mode conversion in quasi-guided dual-mode optical waveguides,” Sci. Rep. 6, 19837 (2016).

[Crossref]

H. Menke, M. Klett, H. Cartarius, J. Main, and G. Wunner, “State flip at exceptional points in atomic spectra,” Phys. Rev. A 93, 013401 (2016).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

J. Wiersig, “Sensors operating at exceptional points: general theory,” Phys. Rev. A 93, 033809 (2016).

[Crossref]

A. Laha and S. N. Ghosh, “Suppression of excess noise of longer-lived high-quality states in nonuniformly pumped optical microcavities,” Opt. Lett. 41, 942–945 (2016).

[Crossref]

H. Hodaei, A. U. Hassan, W. E. Hayenga, M. A. Miri, D. N. Christodoulides, and M. Khajavikhan, “Dark-state lasers: mode management using exceptional points,” Opt. Lett. 41, 3049–3052 (2016).

[Crossref]

S. Phang, A. Vukovic, S. C. Creagh, T. M. Benson, P. D. Sewell, and G. Gradoni, “Parity-time symmetric coupled microresonators with a dispersive gain/loss,” Opt. Express 23, 11493–11507 (2015).

[Crossref]

G. Chen, R. Zhang, and J. Sun, “On-chip optical mode conversion based on dynamic grating in photonic-phononic hybrid waveguide,” Sci. Rep. 5, 10346 (2015).

[Crossref]

K. Ding, Z. Q. Zhang, and C. T. Chan, “Coalescence of exceptional points and phase diagrams for one-dimensional PT-symmetric photonic crystals,” Phys. Rev. B 92, 235310 (2015).

[Crossref]

J. Wiersig, “Enhancing the sensitivity of frequency and energy splitting detection by using exceptional points: application to microcavity sensors for single-particle detection,” Phys. Rev. Lett. 112, 203901 (2014).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko, and A. A. Pukhov, “Causality and phase transitions in PT-symmetric optical systems,” Phys. Rev. A 89, 033808 (2014).

[Crossref]

K. Igarashi, D. Souma, T. Tsuritani, and I. Morita, “Performance evaluation of selective mode conversion based on phase plates for a 10-mode fiber,” Opt. Express 22, 20881–20893 (2014).

[Crossref]

V. Kadirko, K. Ziegler, and E. Kogan, “Next-nearest-neighbor tight-binding model of plasmons in graphene,” Graphene 2, 97–101 (2013).

[Crossref]

R. Keil, J. M. Zeuner, F. Dreisow, M. Heinrich, A. Tünnermann, S. Nolte, and A. Szameit, “The random mass Dirac model and long-range correlations on an integrated optical platform,” Nat. Commun. 4, 1368 (2013).

[Crossref]

R. Gutöhrlein, J. Main, H. Cartarius, and G. Wunner, “Bifurcations and exceptional points in dipolar Bose–Einstein condensates,” J. Phys. A 46, 305001 (2013).

[Crossref]

K. Fang, G. W. Fernando, and A. N. Kocharian, “Pairing enhancement in Betts lattices with next nearest neighbor couplings: exact results,” Phys. Lett. A 376, 538–543 (2012).

[Crossref]

G. Demange and E.-M. Graefe, “Signatures of three coalescing eigenfunctions,” J. Phys. A 45, 025303 (2012).

[Crossref]

L. Ge, Y. D. Chong, S. Rotter, H. E. Türeci, and A. D. Stone, “Unconventional modes in lasers with spatially varying gain and loss,” Phys. Rev. A 84, 023820 (2011).

[Crossref]

T. A. Zaleski and T. K. Kopeć, “Effect of next-nearest-neighbor hopping on Bose–Einstein condensation in optical lattices,” J. Phys. B 43, 085303 (2010).

[Crossref]

H. Cartarius, J. Main, and G. Wunner, “Exceptional points in the spectra of atoms in external fields,” Phys. Rev. A 79, 053408 (2009).

[Crossref]

R. Lefebvre, O. Atabek, M. Šindelka, and N. Moiseyev, “Resonance coalescence in molecular photodissociation,” Phys. Rev. Lett. 103, 123003 (2009).

[Crossref]

E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, “A non-Hermitian PT-symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points,” J. Phys. A 41, 255206 (2008).

[Crossref]

G. Santhosh, D. Kumar, and R. Ramaswamy, “Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbor coupling,” J. Stat. Mech. 7, P07005 (2005).

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[Crossref]

S.-J. Gu, H. Li, Y.-Q. Li, and H.-Q. Lin, “Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction,” Phys. Rev. A 70, 052302 (2004).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

M. V. Berry, “Mode degeneracies and the Petermann excess-noise factor for unstable lasers,” J. Mod. Opt. 50, 63–81 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

W. D. Heiss and H. L. Harney, “The chirality of exceptional points,” Eur. Phys. J. D 17, 149–151 (2001).

[Crossref]

G. Csaba, À. Csurgay, and W. Porod, “Computing architecture composed of next-neighbor-coupled optically pumped nanodevices,” Int. J. Circuit Theory Appl. 29, 73–91 (2001).

[Crossref]

W. D. Heiss, “Repulsion of resonance states and exceptional points,” Phys. Rev. E 61, 929–932 (2000).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

L. J. Kijewski and M. P. Kawatra, “One-dimensional Ising model with long-range interaction,” Phys. Lett. A 31, 479–480 (1970).

[Crossref]

R. Lefebvre, O. Atabek, M. Šindelka, and N. Moiseyev, “Resonance coalescence in molecular photodissociation,” Phys. Rev. Lett. 103, 123003 (2009).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

M. V. Berry, “Mode degeneracies and the Petermann excess-noise factor for unstable lasers,” J. Mod. Opt. 50, 63–81 (2003).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

H. Menke, M. Klett, H. Cartarius, J. Main, and G. Wunner, “State flip at exceptional points in atomic spectra,” Phys. Rev. A 93, 013401 (2016).

[Crossref]

R. Gutöhrlein, J. Main, H. Cartarius, and G. Wunner, “Bifurcations and exceptional points in dipolar Bose–Einstein condensates,” J. Phys. A 46, 305001 (2013).

[Crossref]

H. Cartarius, J. Main, and G. Wunner, “Exceptional points in the spectra of atoms in external fields,” Phys. Rev. A 79, 053408 (2009).

[Crossref]

K. Ding, Z. Q. Zhang, and C. T. Chan, “Coalescence of exceptional points and phase diagrams for one-dimensional PT-symmetric photonic crystals,” Phys. Rev. B 92, 235310 (2015).

[Crossref]

G. Chen, R. Zhang, and J. Sun, “On-chip optical mode conversion based on dynamic grating in photonic-phononic hybrid waveguide,” Sci. Rep. 5, 10346 (2015).

[Crossref]

S. N. Ghosh and Y. D. Chong, “Hidden singularities and asymmetric mode conversion in quasi-guided dual-mode optical waveguides,” Sci. Rep. 6, 19837 (2016).

[Crossref]

L. Ge, Y. D. Chong, S. Rotter, H. E. Türeci, and A. D. Stone, “Unconventional modes in lasers with spatially varying gain and loss,” Phys. Rev. A 84, 023820 (2011).

[Crossref]

G. Csaba, À. Csurgay, and W. Porod, “Computing architecture composed of next-neighbor-coupled optically pumped nanodevices,” Int. J. Circuit Theory Appl. 29, 73–91 (2001).

[Crossref]

G. Csaba, À. Csurgay, and W. Porod, “Computing architecture composed of next-neighbor-coupled optically pumped nanodevices,” Int. J. Circuit Theory Appl. 29, 73–91 (2001).

[Crossref]

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[Crossref]

G. Demange and E.-M. Graefe, “Signatures of three coalescing eigenfunctions,” J. Phys. A 45, 025303 (2012).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

K. Ding, Z. Q. Zhang, and C. T. Chan, “Coalescence of exceptional points and phase diagrams for one-dimensional PT-symmetric photonic crystals,” Phys. Rev. B 92, 235310 (2015).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko, and A. A. Pukhov, “Causality and phase transitions in PT-symmetric optical systems,” Phys. Rev. A 89, 033808 (2014).

[Crossref]

R. Keil, J. M. Zeuner, F. Dreisow, M. Heinrich, A. Tünnermann, S. Nolte, and A. Szameit, “The random mass Dirac model and long-range correlations on an integrated optical platform,” Nat. Commun. 4, 1368 (2013).

[Crossref]

K. Fang, G. W. Fernando, and A. N. Kocharian, “Pairing enhancement in Betts lattices with next nearest neighbor couplings: exact results,” Phys. Lett. A 376, 538–543 (2012).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

K. Fang, G. W. Fernando, and A. N. Kocharian, “Pairing enhancement in Betts lattices with next nearest neighbor couplings: exact results,” Phys. Lett. A 376, 538–543 (2012).

[Crossref]

L. Ge, Y. D. Chong, S. Rotter, H. E. Türeci, and A. D. Stone, “Unconventional modes in lasers with spatially varying gain and loss,” Phys. Rev. A 84, 023820 (2011).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, “A non-Hermitian PT-symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points,” J. Phys. A 41, 255206 (2008).

[Crossref]

G. Demange and E.-M. Graefe, “Signatures of three coalescing eigenfunctions,” J. Phys. A 45, 025303 (2012).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

S.-J. Gu, H. Li, Y.-Q. Li, and H.-Q. Lin, “Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction,” Phys. Rev. A 70, 052302 (2004).

[Crossref]

E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, “A non-Hermitian PT-symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points,” J. Phys. A 41, 255206 (2008).

[Crossref]

R. Gutöhrlein, J. Main, H. Cartarius, and G. Wunner, “Bifurcations and exceptional points in dipolar Bose–Einstein condensates,” J. Phys. A 46, 305001 (2013).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

W. D. Heiss and H. L. Harney, “The chirality of exceptional points,” Eur. Phys. J. D 17, 149–151 (2001).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

R. Keil, J. M. Zeuner, F. Dreisow, M. Heinrich, A. Tünnermann, S. Nolte, and A. Szameit, “The random mass Dirac model and long-range correlations on an integrated optical platform,” Nat. Commun. 4, 1368 (2013).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

W. D. Heiss and H. L. Harney, “The chirality of exceptional points,” Eur. Phys. J. D 17, 149–151 (2001).

[Crossref]

W. D. Heiss, “Repulsion of resonance states and exceptional points,” Phys. Rev. E 61, 929–932 (2000).

[Crossref]

V. Kadirko, K. Ziegler, and E. Kogan, “Next-nearest-neighbor tight-binding model of plasmons in graphene,” Graphene 2, 97–101 (2013).

[Crossref]

L. J. Kijewski and M. P. Kawatra, “One-dimensional Ising model with long-range interaction,” Phys. Lett. A 31, 479–480 (1970).

[Crossref]

R. Keil, J. M. Zeuner, F. Dreisow, M. Heinrich, A. Tünnermann, S. Nolte, and A. Szameit, “The random mass Dirac model and long-range correlations on an integrated optical platform,” Nat. Commun. 4, 1368 (2013).

[Crossref]

L. J. Kijewski and M. P. Kawatra, “One-dimensional Ising model with long-range interaction,” Phys. Lett. A 31, 479–480 (1970).

[Crossref]

H. Menke, M. Klett, H. Cartarius, J. Main, and G. Wunner, “State flip at exceptional points in atomic spectra,” Phys. Rev. A 93, 013401 (2016).

[Crossref]

K. Fang, G. W. Fernando, and A. N. Kocharian, “Pairing enhancement in Betts lattices with next nearest neighbor couplings: exact results,” Phys. Lett. A 376, 538–543 (2012).

[Crossref]

V. Kadirko, K. Ziegler, and E. Kogan, “Next-nearest-neighbor tight-binding model of plasmons in graphene,” Graphene 2, 97–101 (2013).

[Crossref]

T. A. Zaleski and T. K. Kopeć, “Effect of next-nearest-neighbor hopping on Bose–Einstein condensation in optical lattices,” J. Phys. B 43, 085303 (2010).

[Crossref]

E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, “A non-Hermitian PT-symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points,” J. Phys. A 41, 255206 (2008).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

G. Santhosh, D. Kumar, and R. Ramaswamy, “Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbor coupling,” J. Stat. Mech. 7, P07005 (2005).

R. Lefebvre, O. Atabek, M. Šindelka, and N. Moiseyev, “Resonance coalescence in molecular photodissociation,” Phys. Rev. Lett. 103, 123003 (2009).

[Crossref]

S.-J. Gu, H. Li, Y.-Q. Li, and H.-Q. Lin, “Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction,” Phys. Rev. A 70, 052302 (2004).

[Crossref]

S.-J. Gu, H. Li, Y.-Q. Li, and H.-Q. Lin, “Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction,” Phys. Rev. A 70, 052302 (2004).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

S.-J. Gu, H. Li, Y.-Q. Li, and H.-Q. Lin, “Entanglement of the Heisenberg chain with the next-nearest-neighbor interaction,” Phys. Rev. A 70, 052302 (2004).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

H. Menke, M. Klett, H. Cartarius, J. Main, and G. Wunner, “State flip at exceptional points in atomic spectra,” Phys. Rev. A 93, 013401 (2016).

[Crossref]

R. Gutöhrlein, J. Main, H. Cartarius, and G. Wunner, “Bifurcations and exceptional points in dipolar Bose–Einstein condensates,” J. Phys. A 46, 305001 (2013).

[Crossref]

H. Cartarius, J. Main, and G. Wunner, “Exceptional points in the spectra of atoms in external fields,” Phys. Rev. A 79, 053408 (2009).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

H. Menke, M. Klett, H. Cartarius, J. Main, and G. Wunner, “State flip at exceptional points in atomic spectra,” Phys. Rev. A 93, 013401 (2016).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

R. Lefebvre, O. Atabek, M. Šindelka, and N. Moiseyev, “Resonance coalescence in molecular photodissociation,” Phys. Rev. Lett. 103, 123003 (2009).

[Crossref]

A. Ruschhaupt, F. Delgado, and J. G. Muga, “Physical realization of PT-symmetric potential scattering in a planar slab waveguide,” J. Phys. A 38, L171–L176 (2005).

[Crossref]

E. M. Graefe, U. Günther, H. J. Korsch, and A. E. Niederle, “A non-Hermitian PT-symmetric Bose–Hubbard model: eigenvalue rings from unfolding higher-order exceptional points,” J. Phys. A 41, 255206 (2008).

[Crossref]

R. Keil, J. M. Zeuner, F. Dreisow, M. Heinrich, A. Tünnermann, S. Nolte, and A. Szameit, “The random mass Dirac model and long-range correlations on an integrated optical platform,” Nat. Commun. 4, 1368 (2013).

[Crossref]

M. Bernaschi, L. Biferale, L. A. Fernandez, U. M. B. Marconi, R. Petronzio, and A. Tarancon, “Renormalization group study of the three state three dimensional Potts model,” Phys. Lett. B 231, 157–160 (1989).

[Crossref]

G. Csaba, À. Csurgay, and W. Porod, “Computing architecture composed of next-neighbor-coupled optically pumped nanodevices,” Int. J. Circuit Theory Appl. 29, 73–91 (2001).

[Crossref]

A. A. Zyablovsky, A. P. Vinogradov, A. V. Dorofeenko, and A. A. Pukhov, “Causality and phase transitions in PT-symmetric optical systems,” Phys. Rev. A 89, 033808 (2014).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

G. Santhosh, D. Kumar, and R. Ramaswamy, “Thermal transport in low-dimensional lattices with nearest- and next-nearest-neighbor coupling,” J. Stat. Mech. 7, P07005 (2005).

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

S. Bittner, B. Dietz, H. L. Harney, M. Miski-Oglu, A. Richter, and F. Schäfer, “Scattering experiments with microwave billiards at an exceptional point under broken time-reversal invariance,” Phys. Rev. E 89, 032909 (2014).

[Crossref]

C. Dembowski, B. Dietz, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, “Observation of a chiral state in a microwave cavity,” Phys. Rev. Lett. 90, 034101 (2003).

[Crossref]

C. Dembowski, H. D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, “Experimental observation of the topological structure of exceptional points,” Phys. Rev. Lett. 86, 787–790 (2001).

[Crossref]

J. Doppler, A. A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T. J. Milburn, P. Rabl, N. Moiseyev, and S. Rotter, “Dynamically encircling an exceptional point for asymmetric mode switching,” Nature 537, 76–79 (2016).

[Crossref]

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