Cerjan Research Effort

Publications

Curriculum Vitae

Updated November 2024. 

Journal Publications

(Articles marked with † follow the mathematics convention of listing authors in alphabetical order.)

2024
[51]	A. Cerjan and T. A. Loring, "Classifying photonic topology using the spectral localizer and numerical K-theory," APL Photonics 9, 111102 (2024).      Selected as a Featured Article
[50]	C. Doiron, I. Brener, and A. Cerjan, "Dual-Band Polarization Control with Pairwise Positioning of Polarization Singularities in Metasurfaces," Physical Review Letters 133, 213802 (2024).
[49]	X. Gao, H. He, S. Sobolewski, A. Cerjan, and C. W. Hsu, "Dynamic gain and frequency comb formation in exceptional-point lasers," Nature Communications 15, 8618 (2024).
[48]	S. Wong, T. A. Loring, and A. Cerjan, "Classifying topology in photonic crystal slabs with radiative environments," npj Nanophotonics 1, 19 (2024).
[47]	A. Cerjan, T. A. Loring, and H. Schulz-Baldes, "Local Markers for Crystalline Topology," Physical Review Letters 132, 073803 (2024).
[46]	A. Farhi, A. Cerjan, and A. D. Stone, "Generating and processing optical waveforms using spectral singularities," Physical Review A 109, 013512 (2024).
[45]†	A. Cerjan and T. A. Loring, "Even spheres as joint spectra of matrix models," Journal of Mathematical Analysis and Applications 531, 127892 (2024).
2023
[44]	K. Y. Dixon, T. A. Loring, and A. Cerjan, "Classifying Topology in Photonic Heterostructures with Gapless Environments," Physical Review Letters 131, 213801 (2023).
[43]	S. Wong, T. A. Loring, and A. Cerjan, "Probing topology in nonlinear topological materials using numerical K-theory," Physical Review B 108, 195142 (2023).
[42]†	A. Cerjan, L. Koekenbier, and H. Schulz-Baldes, "Spectral localizer for line-gapped non-Hermitian systems," Journal of Mathematical Physics 64, 082102 (2023).
[41]	W. Cheng*, A. Cerjan*, S.-Y. Chen, E. Prodan, T. A. Loring, and C. Prodan, "Revealing topology in metals using experimental protocols inspired by K-theory," Nature Communications 14, 3071 (2023).      Featured in a Nature Physics News & Views
[40]†	A. Cerjan, T. A. Loring, and F. Vides, "Quadratic pseudospectrum for identifying localized states," Journal of Mathematical Physics 64, 023501 (2023).
2022
[39]	C. F. Doiron, I. Brener, and A. Cerjan, "Realizing symmetry-guaranteed pairs of bound states in the continuum in metasurfaces," Nature Communications 13, 7534 (2022).
[38]	A. Cerjan and T. A. Loring, "An operator-based approach to topological photonics," Nanophotonics 11, 4765 (2022).
[37]	A. Cerjan and T. A. Loring, "Local invariants identify topology in metals and gapless systems," Physical Review B 106, 064109 (2022).
[36]	J. Murray, A. Cerjan, and B. Redding, "Massively distributed fiber strain sensing using Brillouin lasing," Optics Express 30, 25765 (2022).
[35]	W. A. Benalcazar and A. Cerjan, "Chiral-Symmetric Higher-Order Topological Phases of Matter," Physical Review Letters 128, 127601 (2022).
[34]	J. Murray, A. Cerjan, and B. Redding, "Distributed Brillouin fiber laser sensor," Optica 9, 80 (2022).      Featured in Optics and Photonics News Year in Review
[33]	C. Jörg*, S. Vaidya*, J. Noh, A. Cerjan, S. Augustine, G. von Freymann, and M. C. Rechtsman, "Observation of Quadratic (Charge-2) Weyl Point Splitting in Near-Infrared Photonic Crystals," Laser & Photonics Reviews 16, 2100452 (2022).
2021
[32]	A. Cerjan*, C. Jörg*, S. Vaidya, S. Augustine, W. A. Benalcazar, C. W. Hsu, G. von Freymann, and M. C. Rechtsman, "Observation of bound states in the continuum embedded in symmetry bandgaps," Science Advances 7, eabk1117 (2021).
[31]	S. Vaidya, W. A. Benalcazar, A. Cerjan, and M. C. Rechtsman, "Point-defect-localized bound states in the continuum in photonic crystals and structured fibers," Physical Review Letters 127, 023605 (2021).
2020
[30]	S. Vaidya, J. Noh, A. Cerjan, C. Jörg, G. von Freymann, and M. C. Rechtsman, "Observation of a Charge-2 Photonic Weyl Point in the Infrared," Physical Review Letters 125, 253902 (2020).      Selected as an APS Editors' Suggestion
[29]	A. Cerjan, M. Jürgensen, W. A. Benalcazar, S. Mukherjee, and M. C. Rechtsman, "Observation of a higher-order topological bound state in the continuum," Physical Review Letters 125, 213901 (2020).      Selected as an APS Editors' Suggestion
[28]	A. Cerjan, M. Wang, S. Huang, K. P. Chen, and M. C. Rechtsman, "Thouless pumping in disordered photonic systems," Light: Science & Applications 9, 178 (2020).
[27]	M. Benzaouia, A. Cerjan, and S. G. Johnson, "Is single-mode lasing possible in an infinite periodic system?" Applied Physics Letters 117, 051102 (2020).      Selected as an Editor's Pick
[26]	W. A. Benalcazar and A. Cerjan, "Bound states in the continuum of higher-order topological insulators," Physical Review B 101, 161116(R) (2020).
2019
[25]	A. Cerjan, S. Bittner, M. Constantin, M. Guy, Y. Zeng, Q. J. Wang, H. Cao, and A. D. Stone, "Multimode lasing in wave-chaotic semiconductor microlasers," Physical Review A 100, 063814 (2019).
[24]	A. Cerjan, C. W. Hsu, and M. C. Rechtsman, "Bound States in the Continuum through Environmental Design," Physical Review Letters 123, 023902 (2019).
[23]	A. Cerjan, S. Huang, M. Wang, K. P. Chen, Y. D. Chong, and M. C. Rechtsman, "Experimental realization of a Weyl exceptional ring," Nature Photonics 13, 623 (2019).
[22]	A. Pick, A. Cerjan, and S. G. Johnson, "Ab initio theory of quantum fluctuations and relaxation oscillations in multimode lasers," Journal of the Optical Society of America B 36, C22 (2019).
2010 – 2018
[21]	A. Cerjan, M. Xiao, L. Yuan, and S. Fan, "Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges," Physical Review B 97, 075128 (2018).      Selected as an APS Editors' Suggestion
[20]	A. Cerjan and S. Fan, "Complete photonic bandgaps in supercell photonic crystals," Physical Review A 96, 051802(R) (2017).
[19]	A. Cerjan and S. Fan, "Achieving Arbitrary Control over Pairs of Polarization States Using Complex Birefringent Metamaterials," Physical Review Letters 118, 253902 (2017).
[18]	Y. Shi, A. Cerjan, and S. Fan, "Acousto-optic finite-difference frequency-domain algorithm for first-principles simulations of on-chip acousto-optic devices," APL Photonics 2, 020801 (2017).
[17]	A. Cerjan and S. Fan, "Effects of non-uniform distributions of gain and loss in photonic crystals," New Journal of Physics 18, 125007 (2016).
[16]	A. Cerjan, B. Redding, L. Ge, S. F. Liew, H. Cao, A. D. Stone, "Controlling mode competition by tailoring the spatial pump distribution in a laser: a resonance-based approach," Optics Express 24, 26006 (2016).
[15]	A. Cerjan and S. Fan, "Eigenvalue dynamics in the presence of non-uniform gain and loss," Physical Review A 94, 033857 (2016).
[14]	Y. Shen, G. Fang, A. Cerjan, Z. Chi, S. Fan, and C. Jin, "Slanted gold mushroom array: a switchable bi/tridirectional surface plasmon polariton splitter," Nanoscale 8, 15505 (2016).
[13]	A. Cerjan, A. Raman, and S. Fan, "Exceptional Contours and Band Structure Design in Parity-Time Symmetric Photonic Crystals," Physical Review Letters 116, 203902 (2016).
[12]	L. Ge, D. Liu, A. Cerjan, S. Rotter, H. Cao, S. G. Johnson, H. E. Türeci, and A. D. Stone, "Interaction-induced mode switching in steady-state microlasers," Optics Express 24, 41 (2016).
[11]	A. Cerjan and A. D. Stone, "Why the laser linewidth is so narrow: A modern perspective," Physica Scripta 91, 013003 (2016).
[10]	A. Cerjan, A. Pick, Y. D. Chong, S. G. Johnson, and A. D. Stone, "Quantitative test of general theories of the intrinsic laser linewidth," Optics Express 23, 28316 (2015).
[9]	A. Pick, A. Cerjan, D. Liu, A. W. Rodriguez, A. D. Stone, Y. D. Chong, and S. G. Johnson, "Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities," Physical Review A 91, 063806 (2015).      Selected as an APS Editors' Suggestion
[8]	A. Cerjan, Y. D. Chong, and A. D. Stone, "Steady-state ab initio laser theory for complex gain media," Optics Express 23, 6455 (2015).      Featured in Advances In Engineering
[7]	B. Redding, A. Cerjan, X. Huang, M. L. Lee, A. D. Stone, M. A. Choma, and H. Cao, "Low-Spatial Coherence Electrically-Pumped Semiconductor Laser for Speckle-Free Full-Field Imaging," Proceedings of the National Academy of Sciences USA 112, 1304 (2015).      Featured in Optics and Photonics News          Selected for a Microscopy Today Innovation Award
[6]	S. Esterhazy, D. Liu, M. Liertzer, A. Cerjan, L. Ge, K. G. Makris, A. D. Stone, J. M. Melenk, S. G. Johnson, and S. Rotter, "Scalable numerical approach for the steady-state ab-initio laser theory," Physical Review A 90, 023816 (2014).
[5]	A. Cerjan and A. D. Stone, "Steady-state ab initio theory of lasers with injected signals," Physical Review A 90, 013840 (2014).
[4]	M. Liertzer, L. Ge, A. Cerjan, A. D. Stone, H. E. Türeci, and S. Rotter, "Pump-induced exceptional points in lasers," Physical Review Letters 108, 173901 (2012).
[3]	A. Cerjan, Y. D. Chong, L. Ge, and A. D. Stone, "Steady-state ab-initio laser theory for N-level lasers," Optics Express 20, 474 (2012).
[2]	A. Cerjan and C. Cerjan, "Orbital angular momentum of Laguerre-Gaussian beams beyond the paraxial approximation," Journal of the Optical Society of America A 28, 2253 (2011).
[1]	A. Cerjan and C. Cerjan, "Analytic solution of flat-top Gaussian and Laguerre-Gaussian laser field components," Optics Letters 35, 3465 (2010).

Perspectives

[1]

A. Cerjan, "A Whole Surface of Exceptional Points," Physics 12, 138 (2019).

Technical Notes

[1]

A. Cerjan, A. Oskooi, S.-L. Chua, S. G. Johnson, "Modeling lasers and saturable absorbers via multilevel atomic media in the Meep FDTD software: Theory and implementation," arXiv:2007.09329.

Conference Proceedings

[1]

B. H. Hokr, A. Cerjan, J. V. Thompson, L. Yuan, S. F. Liew, J. N. Bixler, G. D. Noojin, R. J. Thomas, H. Cao, A. D. Stone, B. A. Rockwell, M. O. Scully, and V. V. Yakovlev, "Evidence of Anderson localization effects in random Raman lasing," Proc. of SPIE 9731, 973110 (2016).

Works-in-Progress

[8]	B. Zhu, K. Hean, Y. Wang, S. Wong, R. Banerjee, H. Xue, Q. Wang, A. Cerjan, Q. J. Wang, W. Chang, and Y. D. Chong, "Topological photonic crystal fibre." (in submission)
[7]	S. Wong, A. Cerjan, and J. T. Cole, "Quantitative measure of topological protection in Floquet systems through the spectral localizer," arXiv:2410.24176. (in submission)
[6]	J. J. Garcia, A. Cerjan, and T. A. Loring, "Clifford and quadratic composite operators with applications to non-Hermitian physics," arXiv:2410.03880. (in submission)
[5]	A. R. Kim, C. F. Doiron, F. J. Vega, J. Yu, A. M. Boehm, J. P. Klesko, I. Brener, R. Sarma, A. Cerjan, and T. Ohta, "Imaging Photonic Resonances within an All-Dielectric Metasurface via Photoelectron Emission Microscopy." (in submission)
[4]	S. Wong, S. Betzold, S. Höfling, and A. Cerjan, "Dynamically reconfigurable topological routing in nonlinear photonic systems." (in submission)
[3]	S. Malek, C. Doiron, I. Brener, and A. Cerjan, "Advanced Symmetry Design for Robust Multi-Resonant Nonlocal Metasurfaces." (in submission)
[2]	C. D. Spataru, W. Pan, and A. Cerjan, "Topological phenomena in artificial quantum materials revealed by local Chern markers." (in submission)
[1]†	A. Cerjan, V. Lauric, and T. A. Loring, "Multivariable pseudospectrum in C*-algebras," arXiv:2402.15934. (in submission)

Invited Talks

(Presentations marked with a ‡ are for accepted invitations at upcoming venues.)

[34]‡	"TBD," META 2025, Malaga, Spain. July 22-25, 2025.
[33]‡	"TBD," TopoPhoto 2025, Donostia-San Sebastian, Spain. June 30-July 2, 2025.
[32]‡	"An operator-based approach to classifying topology in open and nonlinear systems," ETOPIM 13 (the International Conference on Elastic, Electrical, Transport and Optical Properties of Inhomogeneous Media), CUNY, New York, NY. June 16-20, 2025.
[31]‡	"TBD," Topology and geometry beyond perfect crystals, Nordita, Stockholm, Sweden. May 26-June 13, 2025.
[30]‡	"Classifying topology in open and nonlinear photonic systems," Waves 2025, Athens, GA. April 14-16, 2025.
[29]‡	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," TU Würzburg-Schweinfurt, Würzburg, Germany. February 26th, 2025.
[28]‡	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," IFW Dresden, Dresden, Germany. February 25th, 2025.
[27]‡	"Local topological classification of open and nonlinear materials," AMS Special Session on Mathematics of Topological Insulators, JMM 2025, Seattle, WA. January 10th, 2025.
[26]	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," Duke Advanced Multifunctional Metamaterials (AMM) Workshop, Durham, NC. November 18th, 2024.
[25]	"Classifying Topology in Open Photonic Systems," 21st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP-XXI), Chania, Greece. September 24th, 2024.
[24]	"Creating Controllable Sets of Bound States in the Continuum," SPIE Optics and Photonics, San Diego, CA. August 22nd, 2024.
[23]	"An operator-based approach to topological physics, and creating controllable sets of bound states in the continuum," Physics of Excitons and Polaritons in Semiconductors 2024, Reykjavík, Iceland. August 9th, 2024.
[22]	"An operator-based approach to topological physics, and creating controllable sets of bound states in the continuum," CUNY, New York, NY. July 25th, 2024. (Virtual)
[21]	"Classifying Topology in Open Photonic Systems," META 2024, Toyama, Japan. July 18th, 2024.
[20]	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," International workshop on Quantum Materials and Structured Light 2024, Ettore Majorana Foundation, Erice, Italy. July 9th, 2024.      Invited Tutorial
[19]	"An operator-based approach to topological physics, and creating controllable sets of bound states in the continuum," Laboratory for Ultrafast Materials and Optical Science (LUMOS), Los Alamos National Laboratory, Los Alamos, NM. November 2nd, 2023.
[18]	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," Max Planck Institute for the Science of Light, Erlangen, Germany. October 27th, 2023.
[17]	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," RPTU Kaiserslautern-Landau, Kaiserslautern, Germany. October 23rd, 2023.
[16]	"An operator-based approach to topological photonics: Band structures and Bloch eigenstates not required," International Workshop on Polaritons in Emerging Materials, IBS: PCS, Daejeon, South Korea. September 14th, 2023.
[15]	"Identifying topology directly from Maxwell's equations: Band structures and Bloch eigenstates not required," META 2023, Paris, France. July 18, 2023.
[14]	"An operator-based approach to topological physics: Band structures and Bloch eigenstates not required," Emory University, Atlanta, GA. April 13, 2023.
[13]	"Identifying topology directly from Maxwell's equations: Band structures and Bloch eigenstates not required," Florida A&M University, Tallahassee, FL. February 27, 2023.
[12]	"Creating Controllable Sets of Bound States in the Continuum," PQE 2023, Snowbird, UT. January 10, 2023.
[11]	"Creating Bound States in the Continuum Using Superstructure Photonics," MRS Fall Meeting, Boston, MA. November 28th, 2022.
[10]	"Identifying topology directly from Maxwell's equations: Band structures and Bloch eigenstates not required," International Conference of Quantum, Nonlinear and Nanophotonics, Jena, Germany. September 7, 2022.
[9]	"Using symmetry and topology to confine and control light," University of New Mexico, Albuquerque, NM. September 2, 2021.
[8]	"Topological photonic systems: from structure to function," Sandia National Laboratories, Albuquerque, NM. September 1, 2020.
[7]	"Topological photonic systems: from structure to function," Rice University, Houston, TX. February 18, 2020.
[6]	"Advances in non-Hermitian and topological photonics," Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, South Korea. October 22, 2019.
[5]	"Weyl points and Weyl exceptional rings in helical waveguide arrays," Weyl Fermions in Condensed Matter, International Institute of Physics, Natal, Brazil. August 7, 2019.
[4]	"Exceptional contours formed in non-Hermitian topological photonic systems," Banff International Research Station Workshop on Photonic Topological Insulators, Banff, Canada. September 14, 2017.
[3]	"Photonic systems with patterned gain and loss," Northrop Grumman Next Workshop on the Physics of Light Matter Interactions and Excited State Dynamics, Redondo Beach, CA. October 27, 2016.
[2]	"Exceptional contours and eigenvalue dynamics in systems with non-uniform gain and loss," Yale University: Applied Physics Seminar, New Haven, CT. August 24, 2016.
[1]	"Quantitative test of general theories of the intrinsic laser linewidth," Texas A&M Physics of Quantum Electronics Follow-on Workshop, College Station, TX. January 12, 2015.