Quantum trajectory theory of few-photon cavity-QED systems with a time-delayed coherent feedback

Crowder, Gavin; Carmichael, H. J.; Hughes, Stephen

doi:10.1103/physreva.101.023807

Cited by 29 publications

(18 citation statements)

References 101 publications

(186 reference statements)

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“…By setting the delay time to be half integers of the qubit's Rabi period, the decoherence effect can even be worse than the case with no feedback at all. This similar effect has been recently found in a cavity-QED system with a time-delayed coherent feedback [29].…”

Section: Introductionsupporting

confidence: 84%

Time-delayed quantum feedback and incomplete decoherence suppression with a no-knowledge measurement

et al. 2021

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Section: Introductionsupporting

confidence: 84%

Time-delayed quantum feedback and incomplete decoherence suppression with a no-knowledge measurement

et al. 2021

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“…It is also connected to scattering matrix theory [127] and the solution for a quantum emitter coupled to a waveguide using the technique of coarse graining time [128]. Furthermore, the decomposition is intrinsically related to continuous measurement and quantum feedback theories [119,129], which can describe active or coherent feedback schemes [125,130]. As I will show in this thesis, the photon number decomposition approach is also a useful tool to study the temporal properties of the waveguide photonic state (section 3.3) and analyze photon counting post-selection schemes (section 4.1) under the effects of excess emitter decoherence.…”

Section: Photon Number Decompositionmentioning

confidence: 99%

Modelling Markovian light-matter interactions for quantum optical devices in the solid state

Wein

2021

Preprint

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The desire to understand the interaction between light and matter has stimulated centuries of research, leading to technological achievements that have shaped our world. One contemporary frontier of research into light-matter interaction considers regimes where quantum effects dominate.By understanding and manipulating these quantum effects, a vast array of new quantum-enhanced technologies become accessible. In this thesis, I explore and analyze fundamental components and processes for quantum optical devices with a focus on solid-state quantum systems. This includes indistinguishable single-photon sources, deterministic sources of entangled photonic states, photonheralded entanglement generation between remote quantum systems, and deterministic opticallymediated entangling gates between local quantum systems. For this analysis, I make heavy use of an analytic quantum trajectories approach applied to a general Markovian master equation of an optically-active quantum system, which I introduce as a photon-number decomposition. This approach allows for many realistic system imperfections, such as emitter pure dephasing, spin decoherence, and measurement imperfections, to be taken into account in a straightforward and comprehensive way.Throughout this thesis, I will be using the above roman numeral references whenever citing works where I am a co-author. However, not all of these papers are relevant to the present topic.The papers [iii] and [ix] are the only two that are entirely included in this thesis, and the author contributions for these works are summarized below. Please also see appendix C for copyright permissions.Author contributions for [iii]-SW and CS conceived the idea. SW and RG developed the methods. SW performed the analysis and wrote the manuscript with guidance from NL and RG.NL and CS provided critical feedback. All authors contributed to editing the manuscript.Author contributions for [ix]-SCW and CS conceived the idea. SCW developed the methods.SCW performed the analysis and wrote the manuscript with help from JWJ, YFW, and FKA. RG and CS provided critical feedback. All authors contributed to editing the manuscript.A portion of supplementary theory material from [xiii] and [xiv] are also described in this thesis under fair dealing, as I was the primary author of that material within those experimental papers. Moreover, I will include unpublished research related to my contributions to [vii] and [viii].

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“…This

introduces non-timelocal coupling into the system–reservoir dynamics. This coherent, feedback-based non-Markovian system–reservoir coupling is known from and predominantly studied in atom-molecular-optics and cavity-QED [ 43 , 97 , 99 , 100 , 101 , 102 , 103 , 104 , 105 ]. It introduces quantum interferences into the system dynamics and has been well investigated for the model of a single few-level emitter [ 43 , 75 , 105 , 106 , 107 , 108 ], where a stabilization of quantum coherence due to interference effects between incoming and outgoing probability waves [ 109 , 110 ] is observed.…”

Section: Application Examplesmentioning

confidence: 99%

Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

Finsterhölzl¹,

Katzer²,

Knorr³

et al. 2020

Entropy

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This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N=30.

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Quantum trajectory theory of few-photon cavity-QED systems with a time-delayed coherent feedback

Cited by 29 publications

References 101 publications

Time-delayed quantum feedback and incomplete decoherence suppression with a no-knowledge measurement

Time-delayed quantum feedback and incomplete decoherence suppression with a no-knowledge measurement

Modelling Markovian light-matter interactions for quantum optical devices in the solid state

Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

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