Point-coupling Hamiltonian for frequency-independent linear optical devices

Trivedi, Rahul; Fischer, Kevin A.; Mishra, Sattwik Deb; Vučković, Jelena

doi:10.1103/physreva.100.043827

Cited by 7 publications

(2 citation statements)

References 34 publications

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“…We make no attempt at a thorough review of input-output theory, collisional models, or quantum stochastic differential equations (QSDEs) as well as their relation to quantum optical problems. Interested readers are directed to recent pedagogical treatments [30,[69][70][71][72], which themselves are based on foundational work [19,21,73,74].…”

Section: Formalismmentioning

confidence: 99%

Master equations and quantum trajectories for squeezed wave packets

Gross,

Baragiola,

Stace

et al. 2021

Preprint

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The interaction between matter and squeezed light has mostly been treated within the approximation that the field correlation time is small. Methods for treating squeezed light with more general correlations currently involve explicitly modeling the systems producing the light. We develop a general purpose input-output theory for a particular form of narrowband squeezed light-a squeezed wave-packet mode-that only cares about the statistics of the squeezed field and the shape of the wave packet. This formalism allows us to derive the input-output relations and the master equation. We also consider detecting the scattered field using photon counting and homodyne measurements which necessitates the derivation of the stochastic master equation. The non Markovian nature of the field manifests itself in the master equation as a coupled hierarchy of equations. We illustrate these with consequences for the decay and resonance fluorescence of two-level atoms in the presence of such fields.

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Section: Formalismmentioning

confidence: 99%

Master equations and quantum trajectories for squeezed wave packets

Gross,

Baragiola,

Stace

et al. 2021

Preprint

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“…Like every other difficult problem, we need to shift our perspective and tackle the problem with a solid intuition and a clear motivation. The intuition comes from the locality of interactions between qubits due to point-coupling [40], whereas the motivation stems from a nearly century old question arisen from Fermi's 1932 paper [41], which still needs to be answered for waveguide QED.…”

Section: Introductionmentioning

confidence: 99%

Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics

Dinc

2020

Preprint

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Non-Markovian time-evolution of quantum systems is a challenging problem, often mitigated by employing numerical methods or making simplifying assumptions. In this work, we address this problem in waveguide QED by developing a diagrammatic approach, which performs fully analytical non-Markovian time evolution of single-photon states. By revisiting Fermi's two atom problem, we tackle the impeding question of whether rotating-wave approximation violates causality in single-photon waveguide QED. Afterward, we introduce and prove the no upper half-plane poles (no-UHP) theorem, which connects the poles of scattering parameters to the causality principle. Our diagrammatic approach is the first method to perform exact and analytical non-Markovian time evolution of multi-emitter systems in waveguide QED.

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Generation of Non‐Classical Light Using Semiconductor Quantum Dots

et al. 2019

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Sources of non‐classical light are of paramount importance for future applications in quantum science and technology such as quantum communication, quantum computation and simulation, quantum sensing, and quantum metrology. This Review is focused on the fundamentals and recent progress in the generation of single photons, entangled photon pairs, and photonic cluster states using semiconductor quantum dots. Specific fundamentals which are discussed are a detailed quantum description of light, properties of semiconductor quantum dots, and light–matter interactions. This includes a framework for the dynamic modeling of non‐classical light generation and two‐photon interference. Recent progress is discussed in the generation of non‐classical light for off‐chip applications as well as implementations for scalable on‐chip integration.

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Point-coupling Hamiltonian for frequency-independent linear optical devices

Cited by 7 publications

References 34 publications

Master equations and quantum trajectories for squeezed wave packets

Master equations and quantum trajectories for squeezed wave packets

Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics

Generation of Non‐Classical Light Using Semiconductor Quantum Dots

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