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We present a matrix product state (MPS) method for including decoherence processes in calculations involving waveguide quantum electrodynamics (waveguide QED) using density matrices. The approach is based on collision quantum optics, where…

Quantum Physics · Physics 2026-04-21 Matias Bundgaard-Nielsen , Matthew Kozma , Sofia Arranz Regidor , Stephen Hughes

We study the nonlinear spectra and multi-photon correlation functions for the waveguide output of a two-level system (including realistic dissipation channels) with a time-delayed coherent feedback. We compute these observables by extending…

Quantum Physics · Physics 2023-06-13 Gavin Crowder , Lora Ramunno , Stephen Hughes

We present a quantum dynamical study of pulsed few-photon scattering from a single artificial atom, consisting of a two-level system (TLS) or qubit, in a waveguide QED system, directly comparing and contrasting two different quantum…

Quantum Physics · Physics 2026-03-18 Sofia Arranz Regidor , Matthew Kozma , Stephen Hughes

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 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 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

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 two-level systems (2LS) coupled at different points to a one-dimensional waveguide in which one end is open and the other is either open (infinite waveguide) or closed by a mirror (semi-infinite). Upon injection of two photons…

Quantum Physics · Physics 2015-05-27 Yao-Lung L. Fang , Harold U. Baranger

We study the dynamics of photonic quantum circuits consisting of nodes coupled by quantum channels. We are interested in the regime where time delay in communication between the nodes is significant. This includes the problem of quantum…

Quantum Physics · Physics 2016-03-07 Hannes Pichler , Peter Zoller

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

In this paper, we introduce a numerical framework designed to solve problems within the emerging field of Waveguide Quantum Electrodynamics (WQED). The framework is based on collision quantum optics, where a localized quantum system…

Quantum Physics · Physics 2025-04-23 Matias Bundgaard-Nielsen , Dirk Englund , Mikkel Heuck , Stefan Krastanov

We show that an open quantum system in a non-Markovian environment can reach steady states that it cannot reach in a Markovian environment. As these steady states are unique for the non-Markovian regime, they could offer a simple way of…

Quantum Physics · Physics 2022-03-14 Andreas Ask , Göran Johansson

Quadratic light-matter interactions are nonlinear couplings such that quantum emitters interact with photonic or phononic modes exclusively via the exchange of excitation pairs. Implementable with atomic and solid-state systems, these…

Time-delayed quantum feedback is a fast and efficient method to control and stabilize few and many-body quantum systems. However, a proper understanding of such systems stays opaque due to the non-Markovian nature of the feedback protocol.…

Quantum Physics · Physics 2022-04-06 Xin H. H. Zhang , S. H. L. Klapp , A. Metelmann

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

Non-Markovian dynamics is studied for two interacting quibts strongly coupled to a dissipative bosonic environment. For the first time, we have derived the non-Markovian quantum state diffusion (QSD) equation for the coupled two-qubit…

Quantum Physics · Physics 2011-09-07 Xinyu Zhao , Jun Jing , Brittany Corn , Ting Yu

This work introduces a theoretical framework to model the collective dynamics of quantum emitters in highly non-Markovian environments, interacting through the exchange of photons with significant retardations. The formalism consists on a…

Quantum Physics · Physics 2026-01-09 Carlos Barahona-Pascual , Hong Jiang , Alan C. Santos , Juan José García-Ripoll

Multi-photon dynamics beyond linear optical materials are of significant fundamental and technological importance in quantum information processing. However, it remains largely unexplored in nonlinear waveguide QED. In this work, we…

Quantum Physics · Physics 2024-12-09 Xin Wang , Jia-Qi Li , Tao Liu , Adam Miranowicz , Franco Nori

The model of light-matter interaction in quantum electrodynamics typically relies on the Markovian approximation, which assumes that the system's future evolution depends solely on its current state, effectively treating it as a…

We study the scattering of photons propagating in a semi-infinite waveguide terminated by a mirror and interacting with a quantum emitter. This paradigm constitutes an example of coherent quantum feedback, where light emitted towards the…

Quantum Physics · Physics 2017-09-15 Pierre-Olivier Guimond , Mikhail Pletyukhov , Hannes Pichler , Peter Zoller
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