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For more than 20 years, optical microresonators have served as the backbone of integrated nonlinear photonics, exploiting Kerr nonlinearity to generate octave-spanning frequency combs, enable quantum effects, and drive optical parametric…

The nonlinear magneto-optical response of $s$- and $d$-wave superconductors is discussed. We carry out the symmetry analysis of the nonlinear magneto-optical susceptibility in the superconducting state. Due to the surface sensitivity of the…

Condensed Matter · Physics 2009-10-28 J. Schmalian , W. Hübner

We investigate the quantum properties of a nonlinear Kerr oscillator driven by a three-photon pump. We derive both exact and approximate analytical expressions for the ground state of this interacting model. The exact solution arises at an…

Quantum Physics · Physics 2026-05-21 Alessandro Bruno , Patrick P. Potts , Alexander Grimm , Matteo Brunelli

We introduce an optical system (a coupler) obeying parity-time ($PT$) symmetry with odd-time reversal, $T^2=-1$. It is implemented with two birefringent waveguides embedded in an anti-$PT$-symmetric medium. The system possesses properties…

Optics · Physics 2018-04-18 Vladimir V. Konotop , Dmitry A. Zezyulin

We describe the process of parametric amplification in a directional coupler of quadratically nonlinear and lossy waveguides, which belong to a class of optical systems with spatial parity-time (PT) symmetry in the linear regime. We…

We show that superconductors have a thin spectrum associated with spontaneous symmetry breaking similar to that of antiferromagnets, while still being in full agreement with Elitzur's theorem, which forbids the spontaneous breaking of local…

Superconductivity · Physics 2010-04-29 Jasper van Wezel , Jeroen van den Brink

Optical half-wave microresonators enable to control the optical mode density around a quantum system and thus to modify the temporal emission properties. If the coupling rate exceeds the damping rate, strong coupling between a…

This work establishes a rigorous mathematical framework for the analysis of nonlinear dielectric resonances in wave scattering by high-index resonators with Kerr-type nonlinearities. We consider both two- and three-dimensional settings and…

Analysis of PDEs · Mathematics 2025-08-19 Habib Ammari , Bowen Li

The gauge symmetry of the Ginzburg-Landau theory for two-gap superconductors is analyzed in this letter. We argue that the existence of two different phases, associated with the two independent scalar Higgs fields, explicitly breaks the…

Superconductivity · Physics 2014-08-11 Miguel C. N. Fiolhais , Joseph L. Birman

We describe spontaneous symmetry breaking in the powers of two optical modes coupled into a ring resonator, using a pair of coupled Lorentzian equations, featuring tunable self- and cross-phase modulation terms. We investigate a wide…

Optics · Physics 2020-01-29 Lewis Hill , Gian-Luca Oppo , Michael T. M. Woodley , Pascal Del Haye

We present a detailed analysis of strongly driven spontaneous four-wave mixing in a lossy integrated microring resonator side-coupled to a channel waveguide. A nonperturbative, analytic solution within the undepleted pump approximation is…

Quantum Physics · Physics 2015-10-28 Z. Vernon , J. E. Sipe

We study simultaneous parametric oscillations in a system composed of two distributed-element-circuit Josephson parametric oscillators in the single-photon Kerr regime coupled via a static capacitance. The energy of the system is described…

Quantum Physics · Physics 2023-08-03 T. Yamaji , S. Masuda , A. Yamaguchi , T. Satoh , A. Morioka , Y. Igarashi , M. Shirane , T. Yamamoto

Observing few-photon optomechanical effects remains a significant challenge in optomechanical systems. To investigate intrinsic radiation-pressure-induced nonlinear effects in the few-photon regime, it is essential to strengthen the…

Quantum Physics · Physics 2026-03-10 Cheng Shang , H. Z. Shen

We propose how to achieve chiral photon blockade by spinning a nonlinear optical resonator. We show that by driving such a device at a fixed direction, completely different quantum effects can emerge for the counter-propagating optical…

Quantum Physics · Physics 2024-06-04 Yunlan Zuo , Ya-Feng Jiao , Xun-Wei Xu , Adam Miranowicz , Le-Man Kuang , Hui Jing

The very small size of optical nonlinearities places wide ranging restrictions on the types of novel physics one can explore. For an ensemble of multi-level systems one can synthesize a large effective optical nonlinearity using quantum…

Quantum Physics · Physics 2009-10-29 Stojan Rebic , Jason Twamley , Gerard J. Milburn

We investigate competition between two phase transitions of the second kind induced by the self-attractive nonlinearity, viz., self-trapping of the leaky modes, and spontaneous symmetry breaking (SSB) of both fully trapped and leaky states.…

Tailoring the decay rate of structured quantum emitters into their environment opens new avenues for nonlinear quantum optics, collective phenomena, and quantum communications. Here we demonstrate a novel coupling scheme between an…

Kerr instability amplification can amplify over an octave of spectrum, a broad bandwdith supporting few-cycle pulses. However, dispersion management in this regime is crucial to maintain the ultrashort pulse duration. In our simulations, we…

Optics · Physics 2023-11-21 Nathan G. Drouillard , TJ Hammond

Pumping a nonlinear crystal by an intense radiation results in the optical parametric generation of photons in two modes (the signal and the idler). The quantized electromagnetic field in these modes is described by a continuous-variable…

Quantum Physics · Physics 2020-01-01 S. V. Vintskevich , D. A. Grigoriev , S. N. Filippov

In the ultra-strong coupling regime of a light-matter system, the ground state exhibits non-trivial entanglement between the atom and photons. For the purposes of exploring the measurement and control of this ground state, here we analyze…

Quantum Physics · Physics 2020-08-25 Suguru Endo , Yuichiro Matsuzaki , Kosuke Kakuyanagi , Shiro Saito , Neill Lambert , Franco Nori
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