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We study two-photon scattering in a one-dimensional coupled resonator arrays (CRA) by a two-level system (TLS), which is localized as a quantum controller. The $S$-matrix is analytically calculated for various two-photon scattering…

Quantum Physics · Physics 2009-07-17 T. Shi , C. P. Sun

We analyze coherent transport of photons, which propagate in a one-dimensional coupled-resonator waveguide (CRW) and are scattered by a controllable two-level system located inside the CRW. Our approach, which uses discrete coordinates,…

Superconductivity · Physics 2009-11-13 Lan Zhou , Z. R. Gong , Yu-xi Liu , C. P. Sun , Franco Nori

We investigate the single photon scattering and bound states in a coupled resonator waveguide (CRW) which couples to a topological giant atom (TGA) via two distant sites. Here, the TGA is constructed by a one dimensional…

Quantum Physics · Physics 2024-06-14 Wei Zhao , Tian Tian , Zhihai Wang

We study two-photon scattering of a tightly focused weak light beam from a small atomic ensemble of two-level atoms (2LAs). This is similar to the scattering of photons from an atomic ensemble in a one-dimensional waveguide. The scaling of…

Optics · Physics 2013-07-08 Dibyendu Roy

Recent experiments have pushed the studies on atom-photon interactions to the ultrastrong regime, which motivates the exploration of physics beyond the rotation wave approximation. Here we study the single-photon scattering on a system…

Quantum Physics · Physics 2017-07-18 Qi-Kai He , Wei Zhu , Z. H. Wang , D. L. Zhou

We study the transport properties of a single photon scattered by a two-level system (TLS) in a T-shaped waveguide, which is made of two coupled-resonator waveguides (CRWs)--- an infinite CRW and a semi-infinite CRW. The spontaneous…

Quantum Physics · Physics 2015-08-27 Jing Lu , Z. H. Wang , Lan Zhou

The generalized rotating-wave approximation (GRWA) is presented for the two-qubit and cavity coipling system . The analytical expressions in the zeroth order approximation recover the previous adiabatic ones. The counterrotating-wave terms…

Quantum Physics · Physics 2015-01-14 Yu-Yu Zhang , Qing-Hu Chen

We study the collective phenomenon in the scattering of a single-photon by one or two layers of two-level atoms. By modeling the photon dispersion with a two-dimensional (2D) coupled cavity array, we analytically derive the scattering…

Quantum Physics · Physics 2013-07-23 D. Z. Xu , Yong Li , C. P. Sun , Peng Zhang

In this work, we consider a two-level system (TLS) coupled to a one-dimensional continuum of bosonic modes in a transmission line. Using the master equation approach, a method for determining the photon number distribution of the scattered…

Quantum Physics · Physics 2016-02-03 Joel Lindkvist , Göran Johansson

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

In this paper, we investigate the single-photon scattering and bound states in a one-dimensional coupled-resonator waveguide which couples to a single artificial giant atom with two or more coupling points. When the atom couples to the…

Quantum Physics · Physics 2020-06-01 Wei Zhao , Zhihai Wang

This work investigates single-photon scattering in a one-dimensional coupled-resonator waveguide coupled to a giant atom with a complex on-site energy. Within the generalized projection operator formalism, we derive analytical expressions…

Quantum Physics · Physics 2025-12-22 Yu Xin , Jia-Ming Zhang , Bing Chen

The rigorous coupled-wave analysis (RCWA) is one of the most successful and widely used methods for modeling periodic optical structures. It yields fast convergence of the electromagnetic far-field and has been adapted to model various…

Optics · Physics 2015-07-24 Martin Weismann , Dominic F. G. Gallagher , Nicolae C. Panoiu

Rigorous coupled-wave analysis (RCWA) is a very effective tool for the studying optical properties of multilayered vertically invariant periodic structures. However, it fails to deal with arrays of small particles because of high gradients…

Optics · Physics 2019-10-08 Ilia M. Fradkin , Sergey A. Dyakov , Nikolay A. Gippius

We measure the transmission and reflection amplitudes of microwaves in a resonator coupled to two antennas at room temperature in the regime of weakly overlapping resonances and in a frequency range of 3 to 16 GHz. Below 10.1 GHz the…

Chaotic Dynamics · Physics 2009-03-04 B. Dietz , T. Friedrich , H. L. Harney , M. Miski-Oglu , A. Richter , F. Schaefer , H. A. Weidenmueller

In this paper, we review recent development in the theory of resonant inelastic light (Raman) scattering in one-dimensional electron systems. The particular systems we have in mind are electron doped GaAs based semiconductor quantum wire…

Strongly Correlated Electrons · Physics 2009-11-10 D. -W. Wang , A. J. Millis , S. Das Sarma

A method is described for using resonant x-ray scattering to separately quantify the charge (valence) modulation and the strain wave associated with a charge density wave. The essence of the method is a separation of the atomic form factor…

Strongly Correlated Electrons · Physics 2010-11-09 P. Abbamonte

Employing tight-binding approximation we derive a transfer matrix formalism for one-dimensional single photon transport through a composite scattering center, which consists of parallel connected resonator optical waveguides. By solving the…

Quantum Physics · Physics 2017-03-29 Yu Jiang , M. Lozada-Cassou

We study the convergence properties of the two-dimensional Rigorous Coupled Wave Approach (RCWA) for p-polarized monochromatic incident light. The RCWA is a semi-analytical numerical method that is widely used to solve the boundary-value…

Numerical Analysis · Mathematics 2020-01-28 Benjamin J. Civiletti , Akhlesh Lakhtakia , Peter B. Monk

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide. We describe this problem using a spin-boson model with an Ohmic environment $J(\omega)=\pi\alpha\omega^1.$…

Quantum Physics · Physics 2018-10-22 Vanessa Paulisch , Tao Shi , Juan Jose Garcia-Ripoll
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