PMID: 15244913Jul 13, 2004Paper

Encircling an exceptional point

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
C DembowskiA Richter

Abstract

We calculate analytically the geometric phases that the eigenvectors of a parametric dissipative two-state system described by a complex symmetric Hamiltonian pick up when an exceptional point (EP) is encircled. An EP is a parameter setting where the two eigenvalues and the corresponding eigenvectors of the Hamiltonian coalesce. We show that it can be encircled on a path along which the eigenvectors remain approximately real and discuss a microwave cavity experiment, where such an encircling of an EP was realized. Since the wave functions remain approximately real, they could be reconstructed from the nodal lines of the recorded spatial intensity distributions of the electric fields inside the resonator. We measured the geometric phases that occur when an EP is encircled four times and thus confirmed that for our system an EP is a branch point of fourth order.

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Citations

Mar 1, 2012·The Journal of Chemical Physics·A Thilagam
Jul 14, 2016·Scientific Reports·A A ZyablovskyA A Pukhov
Jan 5, 2019·Science·Mohammad-Ali Miri, Andrea Alù
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Indubala I Satija
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B DietzC A Stafford
Jan 24, 2015·Physical Review Letters·Hamidreza RamezaniXiang Zhang
Sep 1, 2018·Physical Review Letters·L Jin, Z Song
Feb 15, 2020·Physical Review Letters·Xiao-Xiao Zhang, Marcel Franz
Feb 12, 2017·Physical Review Letters·Daniel LeykamFranco Nori
May 31, 2019·Physical Review Letters·Ryo HanaiPeter B Littlewood
Nov 25, 2018·Optics Express·Yan-Rong ZhangJing Chen
May 2, 2020·Physical Review Letters·Qingjie LiuPeixiang Lu
Nov 18, 2018·Nature Communications·Qi ZhongRamy El-Ganainy
Apr 26, 2018·Physical Review Letters·Huitao ShenLiang Fu
May 17, 2011·Physical Review Letters·B DietzF Schäfer
Mar 16, 2007·Physical Review Letters·B DietzH A Weidenmüller
Sep 13, 2014·Physical Review Letters·Mark LawrenceShuang Zhang
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Rotter, A F Sadreev
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S BittnerF Schäfer
Apr 16, 2021·Nature·Michel FruchartVincenzo Vitelli
Feb 19, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Ayan Banerjee, Awadhesh Narayan
Jun 2, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Jinghui Pi, Rong Lü
Jun 23, 2021·Optics Express·Tao LiKeyu Xia
Jul 31, 2021·Physical Review Letters·Weiyuan TangGuancong Ma

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