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The lack of interactions between single photons prohibits direct nonlinear operations in quantum optical circuits, representing a central obstacle in photonic quantum technologies. Here, we demonstrate multi-mode nonlinear photonic circuits…

In quantum electrodynamics, photon-photon scattering can be the result of the exchange of virtual electron-positron pairs. This gives rise to a non-trivial dispersion relation for a single photon moving on a background of electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mattias Marklund , Gert Brodin , Lennart Stenflo , Padma K. Shukla

The interaction between Rydberg states of neutral atoms is strong and long-range, making it appealing to put it to use in the context of quantum technologies. Recently, first applications of this idea have been reported in the fields of…

Quantum Physics · Physics 2019-07-22 Daniel Tiarks , Steffen Schmidt-Eberle , Thomas Stolz , Gerhard Rempe , Stephan Dürr

Coherent optical transmission systems naturally lead to a four dimensional (4D) signal space, i.e., two polarizations each with two quadratures. In this paper we derive an analytical model to quantify the impact of Kerr nonlinearity on such…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Hami Rabbani , Mostafa Ayaz , Lotfollah Beygi , Gabriele Liga , Alex Alvarado , Erik Agrell , Magnus Karlsson

The idea of making photons effectively interact has attracted a lot of interest in recent years, for several reasons. Firstly, since photons do not naturally interact with each other, it is of fundamental physical interest to see what kind…

Quantum Physics · Physics 2023-11-08 Simon Panyella Pedersen

The concept of transformation optics is extended to nonlinear electrodynamics. It is shown that transformation optics favors implicit constitutive relations in terms of energy densities D.E and B.H rather than E^2 and H^2. The Kerr…

Optics · Physics 2011-12-30 Luzi Bergamin , Pekka Alitalo , Sergei Tretyakov

A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the known equation $\mbox{curl}\,\mbox{curl}\, {\bf E}=k_0^2[{\bf…

Optics · Physics 2025-01-20 Victor P. Ruban

Intense efforts have been made in recent years to realize nonlinear optical interactions at the single-photon level. Much of this work has focused on achieving strong third-order nonlinearities, such as by using single atoms or other…

Mesoscale and Nanoscale Physics · Physics 2015-08-25 Marco T. Manzoni , Iván Silveiro , F. Javier García de Abajo , Darrick E. Chang

An approximate analytical solution is presented, along with numerical calculations, for a system of two single-photon wavepackets interacting via an ideal, localized Kerr medium. It is shown that, because of spontaneous emission into the…

Quantum Physics · Physics 2013-05-29 Julio Gea-Banacloche

We theoretically investigate the nonlinear effects in a hybrid quantum optomechanical system consisting of two optically coupled semiconductor microcavities containing a quantum dot and a Kerr nonlinear substrate.The steady state behavior…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Sonam Mahajan , Aranya B Bhattacherjee

Entangled state, as an essential tool in quantum information processing, may be generated through the interaction between light and matter in cavity quantum electrodynamics. In this paper, we study the interaction between two two-level…

Quantum Physics · Physics 2015-08-20 H. R. Baghshahi , M. K. Tavassoly , M. J. Faghihi

The realization of correlated multi-photon processes usually depends on the interaction between nonlinear media and atoms. However, the nonlinearity of optical materials is generally weak, making it still very challenging to achieve…

Quantum Physics · Physics 2024-11-19 Zhao-Min Gao , Jia-Qi Li , Ying-Huan Wu , Wen-Xiao Liu , Xin Wang

We present a quantum-mechanical analysis of a nonlinear interferometer that achieves optical switching via cross-phase modulation resulting from the Kerr effect. We show how it performs as a very precise optical regenerator, highly…

Quantum Physics · Physics 2009-10-31 Giacomo M. D'Ariano , Prem Kumar

We propose an asymmetric quantum well structure to realize strong interaction between two slow optical pulses. The linear optical properties and nonlinear optical responses associated with cross-Kerr nonlinearity are analyzed. Combining the…

Realizing strong interactions between individual photons is a cornerstone for advancing photonic quantum computing and quantum nonlinear optics. Here, we experimentally demonstrate strong interactions between counter-propagating photons…

Quantum Physics · Physics 2025-06-03 Bankim Chandra Das , Ashley Harkavi , Aditya Prakash , Ariel Nakav , Lee Drori , Ofer Firstenberg

Correlated photons produced by spontaneous parametric down-conversion are an essential tool for quantum communication, especially suited for long-distance connections. To have a reasonable count rate after all the losses in the propagation…

Quantum Physics · Physics 2009-11-10 Valerio Scarani , Hugues de Riedmatten , Ivan Marcikic , Hugo Zbinden , Nicolas Gisin

Photon-induced Near-field Electron Microscopy (PINEM) effect has revealed the quantum interaction between free electrons and optical near filed, which demonstrated plenty of novel phenomena of manipulating free electron wave packet and…

Quantum Physics · Physics 2026-01-06 Hongteng Lin , Xiaotong Xiong , Junjie Liu , Yidong Huang , Fang Liu

We study a general theory on the interference of a two-photon wavepacket in a beam splitter. The theory is carried out in the Schr\"{o}dinger picture so that the quantum nature of the two-photon interference is explicitly presented. We find…

Quantum Physics · Physics 2007-05-23 Kaige Wang

The interaction between photons and a single two-level atom constitutes a fundamental paradigm in quantum physics. The nonlinearity provided by the atom means that the light-matter interaction depends strongly on the number of photons…

In the framework of the nonsecular perturbation theory based on the Bogoliubov averaging method, an optomechanical system with an asymmetric anharmonic mechanical resonator is studied. The cross-Kerr interaction and the Kerr-like…

Quantum Physics · Physics 2021-12-08 A. P. Saiko , R. Fedaruk , S. A. Markevich
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