Synchronized coherent charge oscillations in coupled double quantum dots

Kleinherbers, Eric; Stegmann, Philipp; König, Jürgen

doi:10.1103/physrevb.104.165304

Cited by 9 publications

(8 citation statements)

References 52 publications

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“…A quantity providing complementary information to the correlation functions is the waiting-time distribution w(t) [36][37][38][39][40][41][42][43][44][45][46][47][48]. It is the probability density that two consecutive photons are detected at the time difference t. The distribution can be expressed as w(t) = τ ∂ 2 t P 0 (t), where τ is the mean waiting time and P 0 is the idle-time probability that no photons have been counted during the time span [0, t] [74].…”

Section: Waiting-time Distributionmentioning

confidence: 99%

“…Nevertheless, the difference between both quantities is small for times smaller than the average waiting time. Waiting times have been used frequently to study the statistics of electron currents in nanoscale junctions [38][39][40][41][42][43][44][45][46][47][48][49][50] and enzymatic reactions [32,[51][52][53][54][55][56]. However, they have been used seldom in the analysis of single-photon emitters [36,37].…”

Section: Introductionmentioning

confidence: 99%

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Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity

Stegmann,

Gupta,

Haran

et al. 2021

Preprint

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Among the best known quantities obtainable from photon correlation measurements are the g (m) correlation functions. Here, we introduce a new procedure to evaluate these correlation functions based on higher-order factorial cumulants CF,m which integrate over the time dependence of the correlation functions, i.e., summarize the available information at different time spans. In a systematic manner, the information content of higher-order correlation functions as well as the distribution of photon waiting times is taken into account. Our procedure greatly enhances the sensitivity for probing correlations and, moreover, is robust against a limited counting efficiency and time resolution in experiment. It can be applied even in case g (m) is not accessible at short time spans. We use the new evaluation scheme to analyze the photon emission of a plasmonic cavity coupled to a quantum dot. We derive criteria which must hold if the system can be described by a generic Jaynes-Cummings model. A violation of the criteria is explained by the presence of an additional excited quantum dot state.

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Section: Waiting-time Distributionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity

Stegmann,

Gupta,

Haran

et al. 2021

Preprint

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“…This allows us to infer the waiting time distribution [54][55][56][57][58][59][60][61][62] , i.e., the probability density ω(t) of the waiting time t until an initial state ρ0 decays due to the first jump, via…”

Section: Waiting Time Distributionmentioning

confidence: 99%

Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems

Schaller,

Queisser,

Szpak

et al. 2021

Preprint

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We study the dissipative Fermi-Hubbard model in the limit of weak tunneling and strong repulsive interactions, where each lattice site is tunnel-coupled to a Markovian fermionic bath. For cold baths at intermediate chemical potentials, the Mott insulator property remains stable and we find a fast relaxation of the particle number towards half filling. On longer time scales, we find that the anti-ferromagnetic order of the Mott-Néel ground state on bi-partite lattices decays, even at zero temperature. For zero and non-zero temperatures, we quantify the different relaxation time scales by means of waiting time distributions which can be derived from an effective (non-Hermitian) Hamiltonian and obtain fully analytic expressions for the Fermi-Hubbard model on a tetramer ring.

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“…This shows that the emission of an electron can be strongly hindered by the previous emitted one. In fact, the correlation is not restricted between the two successively emitted electrons [7][8][9]. Due to the Pauli exclusion principle, the correlation is present whenever the wave functions of two emitted electrons are overlapped in time domain.…”

Section: Introductionmentioning

confidence: 99%

“…So the WTD W(t s , t e ) is direct related to the conditional emission rate of the second electron λ 2 (t e |t s , t 1 ) with t 1 = t s .Similarly, the joint WTD W 2 (t s , t m , t e ) can also be obtained from the conditional emission probability density as W 2 (t s , t m , t e ) = p 2 (t m |t s , t s )p 3 (t e |t s , t s , t m ) (9). …”

mentioning

confidence: 99%

Instantaneous Emission Rate of Electron Transport through a quantum point contact

Yin¹

2022

Preprint

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We present a theory to describe the instantaneous emission rate of electron transport in quantumcoherent conductors. Due to the Pauli exclusion principle, electron emission events are usually correlated. This makes the emission rate is not a constant, but depends on the history of the emission process. To incorporate the history dependence, in this paper we characterize the emission rate via the conditional intensity function, which has been introduced in the theory of random point process. The conditional intensity function can be treated as the instantaneous emission rate observed by an ideal single-electron detector. We demonstrate the method by studying the instantaneous emission rate of a single-channel quantum point contact driven by a constant voltage. As the quantum point contact is opened up, we show that the emission process evolves from a simple Poisson process close to pinchoff to a non-renewal process at full transmission. These results show that the conditional intensity function can provide an intuitive and unified description of the emission process in quantum-coherent conductors.

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Synchronized coherent charge oscillations in coupled double quantum dots

Cited by 9 publications

References 52 publications

Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity

Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity

Environment-induced decay dynamics of anti-ferromagnetic order in Mott-Hubbard systems

Instantaneous Emission Rate of Electron Transport through a quantum point contact

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