메뉴 건너뛰기




Volumn 6, Issue 3, 2010, Pages 192-195

Observation of parity-time symmetry in optics

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; QUANTUM OPTICS;

EID: 77950489224     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1515     Document Type: Article
Times cited : (4041)

References (29)
  • 2
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in non-Hermitian Hamiltonians having PT symmetry
    • Bender, C. M. & Böttcher, S. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243-5246 (1998). (Pubitemid 128626511)
    • (1998) Physical Review Letters , vol.80 , Issue.24 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 4
    • 0242307914 scopus 로고    scopus 로고
    • Must a Hamiltonian be Hermitian?
    • Bender, C. M. Must a Hamiltonian be Hermitian? Am. J. Phys. 71, 1095-1102 (2003).
    • (2003) Am.J. Phys. , vol.71 , pp. 1095-1102
    • Bender, C.M.1
  • 5
    • 0035972022 scopus 로고    scopus 로고
    • Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
    • Ahmed, Z. Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential. Phys. Lett. A 282, 343-348 (2001).
    • (2001) Phys. Lett. A , vol.282 , pp. 343-348
    • Ahmed, Z.1
  • 6
    • 0038355626 scopus 로고    scopus 로고
    • Systematic search for PT-symmetric potentials with real spectra
    • Levai, G. & Znojil, M. Systematic search for PT-symmetric potentials with real spectra. J. Phys. A 33, 7165-7180 (2000).
    • (2000) J. Phys.A , vol.33 , pp. 7165-7180
    • Levai, G.1    Znojil, M.2
  • 7
    • 50249184746 scopus 로고    scopus 로고
    • Visualization of branch points in PT-symmetric waveguides
    • Klaiman, S., Moiseyev, N. & Günther, U. Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 080402
    • Klaiman, S.1    Moiseyev, N.2    Günther, U.3
  • 8
    • 37649030130 scopus 로고    scopus 로고
    • Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction
    • Bender, C. M., Brody, D. C. & Jones, H. F. Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction. Phys. Rev. D 70, 025001 (2004).
    • (2004) Phys. Rev. D , vol.70 , pp. 025001
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 9
    • 0000730864 scopus 로고    scopus 로고
    • Distribution of eigenvalues in non-Hermitian Anderson models
    • Goldsheid, Y. & Khoruzhenko, B. A. Distribution of eigenvalues in non-Hermitian Anderson models. Phys. Rev. Lett. 80, 2897-2900 (1998).
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2897-2900
    • Goldsheid, Y.1    Khoruzhenko, B.A.2
  • 10
    • 67650751244 scopus 로고    scopus 로고
    • A non-Hermitian Hamilton operator and the physics of open quantum systems
    • Rotter, I. A non-Hermitian Hamilton operator and the physics of open quantum systems. J. Phys. A 42, 1-51 (2009).
    • (2009) J. Phys. A , vol.42 , pp. 1-51
    • Rotter, I.1
  • 11
    • 0037462985 scopus 로고    scopus 로고
    • Observation of a chiral state in a microwave cavity
    • Dembowski, C. et al. Observation of a chiral state in a microwave cavity. Phys. Rev. Lett. 90, 034101 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 034101
    • Dembowski, C.1
  • 12
    • 39749097413 scopus 로고    scopus 로고
    • Theory of coupled optical PT-symmetric structures
    • DOI 10.1364/OL.32.002632
    • El-Ganainy, R., Makris, K. G., Christodoulides, D. N. & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett. 32, 2632-2634 (2007). (Pubitemid 351303009)
    • (2007) Optics Letters , vol.32 , Issue.17 , pp. 2632-2634
    • El-Ganainy, R.1    Makris, K.G.2    Christodoulides, D.N.3    Musslimani, Z.H.4
  • 15
    • 66749184063 scopus 로고    scopus 로고
    • Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies
    • Mostafazadeh, A. Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies. Phys. Rev. Lett. 102, 220402 (2009).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 220402
    • Mostafazadeh, A.1
  • 16
    • 34547309949 scopus 로고    scopus 로고
    • Making sense of non-Hermitian Hamiltonians
    • Bender, C. M. Making sense of non-Hermitian Hamiltonians. Rep. Prog. Phys. 70, 947-1018 (2007).
    • (2007) Rep. Prog. Phys. , vol.70 , pp. 947-1018
    • Bender, C.M.1
  • 17
    • 0035948190 scopus 로고    scopus 로고
    • PT-symmetric square well
    • Znojil, M. PT-symmetric square well. Phys. Lett. A 285, 7-10 (2001).
    • (2001) Phys. Lett.A , vol.285 , pp. 7-10
    • Znojil, M.1
  • 19
    • 0035471214 scopus 로고    scopus 로고
    • Schrödinger transmission through one-dimensional complex potentials
    • Ahmed, Z. Schrödinger transmission through one-dimensional complex potentials. Phys. Rev. A 64, 042716 (2001).
    • (2001) Phys. Rev. A , vol.64 , pp. 042716
    • Ahmed, Z.1
  • 20
    • 0035981741 scopus 로고    scopus 로고
    • Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries
    • Mostafazadeh, A. Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries. J. Math. Phys. 43, 3944-3951 (2002).
    • (2002) J. Math. Phys. , vol.43 , pp. 3944-3951
    • Mostafazadeh, A.1
  • 21
    • 57349105572 scopus 로고    scopus 로고
    • Naimark-dilated PT-symmetric brachistochrone
    • Günther, U. & Samsonov, B. F. Naimark-dilated PT-symmetric brachistochrone. Phys. Rev. Lett. 101, 230404 (2008).
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 230404
    • Günther, U.1    Samsonov, B.F.2
  • 22
    • 68649092561 scopus 로고    scopus 로고
    • Exponentially fragile PT symmetry in lattices with localized eigenmodes
    • Bendix, O., Fleischmann, R., Kottos, T. & Shapiro, B. Exponentially fragile PT symmetry in lattices with localized eigenmodes. Phys. Rev. Lett. 103, 030402 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 030402
    • Bendix, O.1    Fleischmann, R.2    Kottos, T.3    Shapiro, B.4
  • 23
    • 0013202388 scopus 로고    scopus 로고
    • Mode degeneracies and the Petermann excess-noise factor for unstable lasers
    • Berry, M. Mode degeneracies and the Petermann excess-noise factor for unstable lasers. J. Mod. Opt. 50, 63-81 (2003).
    • (2003) J. Mod. Opt. , vol.50 , pp. 63-81
    • Berry, M.1
  • 24
    • 0000807652 scopus 로고
    • Association of resonance states with the incomplete spectrum of finite complex-scaled Hamiltonian matrices
    • Moiseyev, M. & Friedland, S. Association of resonance states with the incomplete spectrum of finite complex-scaled Hamiltonian matrices. Phys. Rev. A 22, 618-624 (1980).
    • (1980) Phys. Rev.A , vol.22 , pp. 618-624
    • Moiseyev, M.1    Friedland, S.2
  • 25
    • 69449088133 scopus 로고    scopus 로고
    • Observation of PT-symmetry breaking in complex optical potentials
    • Guo, A. et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 093902
    • Guo, A.1
  • 26
    • 0343439745 scopus 로고
    • Anisotropic four-wave mixing in planar LiNbO3 optical waveguides
    • Kip, D. & Krätzig, E. Anisotropic four-wave mixing in planar LiNbO3 optical waveguides. Opt. Lett. 17, 1563-1565 (1992).
    • (1992) Opt. Lett. , vol.17 , pp. 1563-1565
    • Kip, D.1    Krätzig, E.2
  • 27
    • 0032137598 scopus 로고    scopus 로고
    • Photorefractive waveguides in oxide crystals: Fabrication, properties, and applications
    • Kip, D. Photorefractive waveguides in oxide crystals: Fabrication, properties, and applications. Appl. Phys. B 67, 131-150 (1998).
    • (1998) Appl. Phys. B , vol.67 , pp. 131-150
    • Kip, D.1
  • 28
    • 84975647980 scopus 로고
    • Beam-propagation method analysis of a nonlinear directional coupler
    • Thylen, L., Wright, E. M., Stegeman, G. I., Seaton, C. T. & Moloney, J. V. Beam-propagation method analysis of a nonlinear directional coupler. Opt. Lett. 11, 739-741 (1986).
    • (1986) Opt. Lett. , vol.11 , pp. 739-741
    • Thylen, L.1    Wright, E.M.2    Stegeman, G.I.3    Seaton, C.T.4    Moloney, J.V.5
  • 29
    • 43049100403 scopus 로고    scopus 로고
    • Formation of reconfigurable optical channel waveguides and beam splitters on top of proton-implanted lithium niobate crystals using spatial dark soliton-like structures
    • Tan, Y. et al. Formation of reconfigurable optical channel waveguides and beam splitters on top of proton-implanted lithium niobate crystals using spatial dark soliton-like structures. J. Phys. D 41, 102001 (2008).
    • (2008) J. Phys. D , vol.41 , pp. 102001
    • Tan, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.