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This article is concerned with a system of particles interacting with the quantized electromagnetic field (photons) in the non relativistic Quantum Electrodynamics (QED) framework and governed by the Pauli-Fierz Hamiltonian. We are…

Mathematical Physics · Physics 2023-05-30 Laurent Amour , Jean Nourrigat

We develop a formalism for modelling exact time dynamics in waveguide quantum electrodynamics (QED) using the real-space approach. The formalism does not assume any specific configuration of emitters and allows the study of Markovian…

Quantum Physics · Physics 2019-12-11 Fatih Dinc , İlke Ercan , Agata M. Brańczyk

We introduce a picture to describe and intrepret waveguide-QED problems in the non-Markovian regime of long photonic retardation times resulting in delayed coherent feedback. The framework is based on an intuitive spatial decomposition of…

We study the disentanglement dynamics of two giant atoms coupled to a common one-dimensional waveguide. We focus on the non-Markovian retarded effect in the disentanglement of the two giant atoms by taking the photon transmission time into…

Quantum Physics · Physics 2022-12-09 Xian-Li Yin , Wen-Bin Luo , Jie-Qiao Liao

The Markovian approximation is widely applied in the field of quantum optics due to the weak frequency dependence of the vacuum field amplitude, and in consequence non-Markovian effects are typically regarded to play a minor role in the…

Quantum Physics · Physics 2020-03-11 Alexander Carmele , Nikolett Nemet , Victor Canela , Scott Parkins

We study quantum non-Markovianity in the early stage of the emission process of a two-level atom coupled to a semi-infinite waveguide, where the waveguide termination behaves as a perfect mirror. Specifically, we restrict to the analysis of…

Quantum Physics · Physics 2014-09-05 Tommaso Tufarelli , M. S. Kim , Francesco Ciccarello

We study the quantum dynamics of multiple two-level atoms (qubits) in a waveguide quantum electrodynamics system, with a focus on modified superradiance effects between two or four atoms with finite delay times. Using a numerically exact…

Quantum Physics · Physics 2025-06-23 Sofia Arranz Regidor , Franco Nori , Stephen Hughes

We give an exposure to diagrammatic techniques in waveguide QED systems. A particular emphasis is placed on the systems with delayed coherent quantum feedback. Specifically, we show that the $N$-photon scattering matrices in single-qubit…

Quantum Physics · Physics 2021-09-01 Kiryl Piasotski , Mikhail Pletyukhov

Spontaneous emission of a quantum emitter, such as an excited atom, is a fundamental process in quantum electrodynamics (QED), typically associated with exponential decay to the ground state accompanied by irreversible photon emission. This…

Quantum Physics · Physics 2026-04-16 Stefano Longhi

We address the problem of quantifying the non-Markovian character of quantum time-evolutions of general systems in contact with an environment. We introduce two different measures of non-Markovianity that exploit the specific traits of…

Quantum Physics · Physics 2010-07-29 Ángel Rivas , Susana F. Huelga , Martin B. Plenio

We investigate the open dynamics of a qubit due to scattering of a single photon in an infinite or semi-infinite waveguide. Through an exact solution of the time-dependent multi-photon scattering problem, we find the qubit's dynamical map.…

Quantum Physics · Physics 2018-04-17 Yao-Lung L. Fang , Francesco Ciccarello , Harold U. Baranger

We present a nonperturbative, first-principles numerical approach for time-dependent problems in the framework of quantum field theory. In this approach the time evolution of quantum field systems is treated in real time and at the…

Nuclear Theory · Physics 2013-11-14 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

The fully quantized model of double qubits coupled to a common bath is solved using the quantum state diffusion (QSD) approach in the non-Markovian regime. We have established the explicit time-local non-Markovian QSD equations for the…

Quantum Physics · Physics 2016-06-30 Brittany Corn , Jun Jing , Ting Yu

We analyze the non-Markovian spontaneous emission dynamics of a two-level test atom placed in a cavity formed by two atomic arrays in a waveguide quantum electrodynamics (QED) setup. We demonstrate a crossover from single-mode to multimode…

Quantum Physics · Physics 2026-03-03 Annyun Das , Pablo Solano , Kanu Sinha

Quantum nonlinearity is an essential ingredient for many quantum technologies, but often the nonlinearity is too weak to be exploited at the few-photon level. However, few photons interacting strongly with single quantum emitters in a…

Quantum Physics · Physics 2026-03-24 Matthew Kozma , Sofia Arranz Regidor , Stephen Hughes

We study the generation and evolution of entanglement between two qubits coupled through one-dimensional waveguide modes. By using a complete quantum electrodynamical formalism we go beyond the Markovian approximation. The diagonalization…

Quantum Physics · Physics 2013-07-09 C. Gonzalez-Ballestero , F. J. Garcia-Vidal , Esteban Moreno

We introduce a nonperturbative, first-principles approach to time-dependent problems in quantum field theory. In this approach, the time-evolution of quantum field configurations is calculated in real time and at the amplitude level. This…

Nuclear Theory · Physics 2015-06-18 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

The dynamics of waveguide-QED systems involving coherent time-delayed feedback give rise to a hierarchy of multi-time correlations within the Heisenberg picture due to the induced non-Markovianity. We propose to perform a projection onto a…

Quantum Physics · Physics 2022-08-24 Kisa Barkemeyer , Andreas Knorr , Alexander Carmele

We consider a quantum emitter ("atom") radiating in a one-dimensional (1D) photonic waveguide in the presence of a single mirror, resulting in a delay differential equation for the atomic amplitude. We carry out a systematic analysis of the…

Quantum Physics · Physics 2014-09-03 Tommaso Tufarelli , M. S. Kim , Francesco Ciccarello

The concept of non-Markovianity (NM) in quantum dynamics is still an open debate. Understanding how to generate and measure NM in specific models may aid in this quest. In quantum optics, an engineered electromagnetic environment coupled to…

Quantum Physics · Physics 2016-07-04 M. F. Z. Arruda , D. Valente , T. Werlang
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