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We study the light propagation in one-dimensional photonic crystal via nonlinear Four Wave Mixing (FWM) process. The linear and nonlinear refractive indexes are approximated with the first Fourier harmonic term. A system of the nonlinear…

Optics · Physics 2007-05-23 Maryam Boozarjmehr , Ali Rostami

The spectral deferred correction (SDC) method is class of iterative solvers for ordinary differential equations (ODEs). It can be interpreted as a preconditioned Picard iteration for the collocation problem. The convergence of this method…

Numerical Analysis · Mathematics 2021-11-03 Gitte Kremling , Robert Speck

We demonstrate theoretically and experimentally that a periodic three-way microstrip coupled waveguide exhibits a stationary inflection point (SIP). The SIP is a third order exceptional point of degeneracy (EPD) where three eigenmodes of…

Applied Physics · Physics 2020-06-09 Mohamed Y. Nada , Tarek Mealy , Filippo Capolino

The comet-tail-like interference patterns are observed using photons from the spontaneous parametric down-conversion (SPDC) process. The patterns are caused by the angular-spectrum-dependent interference and the diffraction of a blazed…

Quantum Physics · Physics 2022-06-08 Chen Yang , Zhi-Yuan Zhou , Yan Li , Yin-Hai Li , Su-Jian Niu , Zheng Ge , Guang-Can Guo , Bao-Sen Shi

Quantum entanglement, the non-separability of a multipartite wave function, became essential in understanding the non-locality of quantum mechanics. In optics, this non-locality can be demonstrated on impressively large length scales, as…

The spectral deferred correction (SDC) method is an iterative scheme for computing a higher-order collocation solution to an ODE by performing a series of correction sweeps using a low-order timestepping method. This paper examines a…

Numerical Analysis · Mathematics 2015-10-09 Robert Speck , Daniel Ruprecht , Matthew Emmett , Michael Minion , Matthias Bolten , Rolf Krause

Realistic physical phenomena exhibit random fluctuations across many scales in the input and output processes. Models of these phenomena require stochastic PDEs. For three-dimensional coupled (vector-valued) stochastic PDEs (SPDEs), for…

Computational Engineering, Finance, and Science · Computer Science 2022-08-24 Ajit Desai , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

Spontaneous parametric downconversion is an essential technique in quantum optics experiments. In this paper, various quasi-phase-matching processes in several typical periodically polarized nonlinear materials are analyzed and calculated.…

Quantum Physics · Physics 2022-07-12 Xi-Yu Liu , Ya-Fei Yu , Zheng-Jun Wei , Tian-Ming Zhao , Jin-Dong Wang

Within the framework of the time-dependent Ginzburg-Landau equations, the dynamics of the order parameter in narrow superconducting channels of different lengths is investigated in the ac voltage-driven regime. The resistive state of the…

Superconductivity · Physics 2014-01-08 Y. S. Yerin , V. N. Fenchenko

We evaluate the frequencies of scissors modes for density and concentration fluctuations in a vapour of fermionic atoms placed in two hyperfine levels inside a spherical harmonic trap. Both the superfluid and the normal state are…

Statistical Mechanics · Physics 2009-10-31 Anna Minguzzi , Mario P. Tosi

We present an experimental realization of a two-photon conditional-phase switch, related to the ``$c$-$\phi $'' gate of quantum computation. This gate relies on quantum interference between photon pairs, generating entanglement between two…

Quantum Physics · Physics 2009-11-07 K. J. Resch , J. S. Lundeen , A. M. Steinberg

We numerically and experimentally show that all photons generated by spontaneous parametric down-conversion (SPDC) follow a transverse amplitude similar to that of the pump. This amplitude transfer from pump to SPDC is revealed in the…

Quantum Physics · Physics 2018-04-04 Ali Anwar , Pravin Vaity , Chithrabhanu Perumangatt , R. P. Singh

We propose fully data-driven variational methods, termed successive jump and mode decomposition (SJMD) and its multivariate extension, successive multivariate jump and mode decomposition (SMJMD), for successively decomposing nonstationary…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Mojtaba Nazari , Anders Rosendal Korshøj , Naveed ur Rehman

We study the cooperative optical coupling between regularly spaced atoms in a one-dimensional waveguide using decompositions to subradiant and superradiant collective excitation eigenmodes, direct numerical solutions, and analytical…

Quantum Physics · Physics 2017-10-04 Janne Ruostekoski , Juha Javanainen

Two-photon states entangled in continuous variables such as wavevector or frequency represent a powerful resource for quantum information protocols in higher-dimensional Hilbert spaces. At the same time, there is a problem of addressing…

Linear Time Periodic (LTP) framework-based analysis of Voltage Source Converters (VSCs) is becoming popular, a driven factor is that many of the existing VSC applications inevitably exhibit the periodic steady-state (PSS), e.g., VSCs with…

Systems and Control · Electrical Eng. & Systems 2021-12-06 Chen Zhang , Jon Are Suul , Marta Molinas

We demonstrate the novel effect of gain-induced spectral shifts in the type-II parametric down-conversion (PDC) process, which results in a transition from degenerate to non-degenerate PDC with increasing parametric gain. This effect,…

Trapped ions naturally host multiple motional modes alongside long-lived spin qubits, providing a scalable multimode bosonic register. Efficiently characterizing such bosonic registers requires the ability to access many motional modes with…

Quantum Physics · Physics 2026-01-09 Wonhyeong Choi , Jiyong Kang , Kyunghye Kim , Jaehun You , Kyungmin Lee , Taehyun Kim

A flux liquid can condense into a smectic crystal in a pure layered superconductors with the magnetic field oriented nearly parallel to the layers. If the smectic order is commensurate with the layering, this crystal is {\sl stable} to…

Condensed Matter · Physics 2009-10-22 Leon Balents , David R. Nelson

Spontaneous parametric down-conversion in quantum optics is an invaluable resource for the realization of high-dimensional qudits with spatial modes of light. One of the main open challenges is how to directly generate a desirable qudit…

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