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The inspiration for this theoretical paper comes from recent experiments on a PT-symmetric system of two coupled optical whispering galleries (optical resonators). The optical system can be modeled as a pair of coupled linear oscillators,…

High Energy Physics - Theory · Physics 2015-06-16 Carl M. Bender , Mariagiovanna Gianfreda

We experimentally investigate the mode characteristics of multimode radiation fields propagating through frequency dependent Gaussian channels. After manipulating the twin beams emitted from a conventional parametric down-conversion source…

Quantum Physics · Physics 2015-03-17 K. Laiho , A. Christ , K. N. Cassemiro , C. Silberhorn

We present a transmission line theory of exceptional points of degeneracy (EPD) in coupled-mode guiding structures, i.e., a theory that illustrates the characteristics of coupled electromagnetic modes under a special dispersion degeneracy…

Optics · Physics 2017-09-15 Mohamed A. K. Othman , Filippo Capolino

We reveal a generic connection between the effect of time-reversals and nonlinear wave dynamics in systems with parity-time (PT) symmetry, considering a symmetric optical coupler with balanced gain and loss where these effects can be…

Optics · Physics 2012-05-23 Andrey A. Sukhorukov , Zhiyong Xu , Yuri S. Kivshar

We theoretically study the dynamics of typical optomechanical systems, consisting of a passive optical mode and an active mechanical mode, in the $\mathcal{PT}$- and broken-$\mathcal{PT}$-symmetric regimes. By fully analytical treatments…

Quantum Physics · Physics 2021-12-01 Hai Xu , Deng-Gao Lai , Yi-Bing Qian , Bang-Pin Hou , Adam Miranowicz , Franco Nori

We investigate a new class of optical mesh periodic structures that are discretized in both the transverse and longitudinal directions. These networks are composed of waveguide arrays that are discretely coupled while phase elements are…

We study the symmetric properties of waveguide modes in presence of gain/losses, anisotropy/bianisotropy, or continuous/discrete rotational symmetry. We provide a comprehensive approach to identity the modal symmetry by constructing a…

Optics · Physics 2018-01-24 Zhongfei Xiong , Weijin Chen , Peng Wang , Yuntian Chen

We study the effect of localized modes in lattices of size N with parity-time (PT) symmetry. Such modes are arranged in pairs of quasi-degenerate levels with splitting delta exp{-N/xi}, where \xi is their localization length. The level…

Other Condensed Matter · Physics 2009-09-02 Oliver Bendix , Ragnar Fleischmann , Tsampikos Kottos , Boris Shapiro

Parity-time (PT) symmetry has been opening exciting opportunities in optics, yet the required careful balance of loss and gain has been hindering its practical implementations. Here, we propose a gain-free route to PT-symmetry based on…

Optics · Physics 2020-05-18 Huanan Li , Ahmed Mekawy , Alex Krasnok , Andrea Alù

Optical modes in anisotropic slab waveguides with topological and chiral magnetoelectric effects are investigated analytically, by deriving the closed-form characteristic equations of the modes and hence computing the dispersion-diagrams.…

Optics · Physics 2016-05-04 Nahid Talebi

Parity-time ($\mathcal{PT}$) symmetric systems are classical, gain-loss systems whose dynamics are governed by non-Hermitian Hamiltonians with exceptional-point (EP) degeneracies. The eigenvalues of a $\mathcal{PT}$-symmetric Hamiltonian…

Quantum Physics · Physics 2021-08-27 Kaustubh S. Agarwal , Yogesh N. Joglekar

We study the effects of parity-time(PT)-symmetry on the photon blockade and distinguish the different blockade mechanisms in a double-cavity optomechanical system. By studying the light statistics of the system, we find the completely…

Quantum Physics · Physics 2019-05-01 Dong-Yang Wang , Cheng-Hua Bai , Shutian Liu , Shou Zhang , Hong-Fu Wang

We study the unconventional transmission properties of a wave-packet through a PT-symmetric potential region, as describing actual electromagnetic wave propagation along a waveguide filled with gain and loss media. The non-trivial behavior…

Quantum Physics · Physics 2017-10-03 M. Di Mauro , S. Esposito , A. Naddeo

We show that the analogue of the geometric phase for non-Hermitian coupled waveguides with PT-symmetry and at least one periodically varying parameter can be purely imaginary, and will consequently result in the manifestation of an…

Optics · Physics 2018-11-28 Rosie Hayward , Fabio Biancalana

We derive a two-dimensional symplectic map for particle motion at the plasma edge by modeling the electrostatic potential as a superposition of integer spatial harmonics with relative phase shift, then reduce it to a two-wave model to study…

Plasma Physics · Physics 2026-02-10 L. F. B. Souza , Y. Elskens , R. Egydio de Carvalho , I. L. Caldas

We show that PT-symmetry may exist only for isolated frequencies in optical systems. Therefore, PT-symmetry breaking transitions as the frequency is tuned up, discussed in Y. D. Chong, L. Ge, and A. D. Stone, Phys. Rev. Lett. 106, 093902…

Materials Science · Physics 2012-05-15 A. A. Zyablovsky , A. P. Vinogradov , A. V. Dorofeenko , A. A. Pukhov , A. A. Lisyansky

Our recent research on type-I quadrature parity-time (PT) symmetry, utilizing an open twin-beam system, not only enables observing genuine quantum photonic PT symmetry amid phase-sensitive amplification (PSA) and loss in the presence of…

Quantum Physics · Physics 2025-01-23 Wencong Wang , Jacob Kokinda , Jiazhen Li , Qing Gu , Dongmei Liu , Jianming Wen

We analyze the guided modes in coupled waveguides made of negative-index materials without gain or loss. We show that it supports non-Hermitian phenomenon on the existence of guided mode versus geometric parameters of the structure. The…

Optics · Physics 2023-04-26 Li-Ting Wu , Xin-Zhe Zhang , Ru-Zhi Luo , Jing Chen

Mutually coupled modes of a pair of active LRC circuits, one with amplification and another with an equivalent amount of attenuation, provide an experimental realization of a wide class of systems where gain/loss mechanisms break the…

Other Condensed Matter · Physics 2015-05-30 Joseph Schindler , Ang Li , Mei C. Zheng , F. M. Ellis , Tsampikos Kottos

Over the last two decades, advances in fabrication have led to significant progress in creating patterned heterostructures that support either carriers, such as electrons or holes, with specific band structure or electromagnetic waves with…