Non-Hermitian physics and PT symmetry

Ramy El‐Ganainy; K. G. Makris; Mercedeh Khajavikhan; Ziad H. Musslimani; Stefan Rotter; Demetrios N. Christodoulides

doi:10.1038/nphys4323

Keywords

PhysicsHermitian matrixParity (physics)OptomechanicsTheoretical physicsRealization (probability)Symmetry (geometry)Optical physicsModern physicsQuantum mechanicsQuantumPlasma

Affiliated Institutions

Related Publications

Model of supersymmetric quantum field theory with broken parity symmetry

Carl M. Bender , Kimball A. Milton

Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form $g(i\phi)^{2+\delta}$, where $\delta$ is a real...

1998 Physical review. D. Particles, fields... 75 citations

Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

Carl M. Bender , Stefan Boettcher

The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of ${\cal PT}$ symme...

1998 Physical Review Letters 6254 citations

Topological photonics

Tomoki Ozawa , Hannah M. Price , A. Amo +8 more

Topological photonics is a rapidly emerging field of research in which\ngeometrical and topological ideas are exploited to design and control the\nbehavior of light. Drawing ins...

2019 Reviews of Modern Physics 3290 citations

Parity–time symmetry and exceptional points in photonics

Şahin Kaya Özdemir , Stefan Rotter , Franco Nori +1 more

2019 Nature Materials 1569 citations

Symmetry and Topology in Non-Hermitian Physics

Kohei Kawabata , Ken Shiozaki , Masahito Ueda +1 more

We develop a complete theory of symmetry and topology in non-Hermitian\nphysics. We demonstrate that non-Hermiticity ramifies the celebrated\nAltland-Zirnbauer symmetry classifi...

2019 Physical Review X 1214 citations

Publication Info

Year: 2018
Type: article
Volume: 14
Issue: 1
Pages: 11-19
Citations: 2465
Access: Closed

External Links

Download PDF (Free) View on DOI.org Semantic Scholar

Social Impact

Altmetric

Non-Hermitian physics and PT symmetry

PlumX Metrics

Social media, news, blog, policy document mentions

Citation Metrics

2465

OpenAlex

Influential

Cite This

APA Style

                            
                                
                                    Ramy El‐Ganainy, 
                                
                                    K. G. Makris, 
                                
                                    Mercedeh Khajavikhan
                                
                                et al.
                            
                            (2018). 
                            Non-Hermitian physics and PT symmetry. 
                            Nature Physics
                            , 14
                            (1)
                            , 11-19.
                            https://doi.org/10.1038/nphys4323
                        

Identifiers

DOI: 10.1038/nphys4323

Data Quality

Data completeness: 68%