Tuning the Aharonov-Bohm effect with dephasing in nonequilibrium transport

Engelhardt, Georg; Cao, Jianshu

doi:10.1103/physrevb.99.075436

Cited by 25 publications

(20 citation statements)

References 64 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

Self Cite

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“…We consider a trimer of 2LSs, which interact via coherent qubit-qubit coupling. Importantly, we allow for the coupling constants to have non-zero complex phases, which is the key ingredient that allows non-reciprocity to emerge [60][61][62][63][64]. Effectively, we study the Aharonov-Bohm effect [43] in a tight-binding quantum ring with three sites, in an open quantum systems approach.…”

Section: Modelmentioning

confidence: 99%

Non-reciprocal population dynamics in a quantum trimer

Downing

Zueco

2021

Proc. R. Soc. A.

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We study a quantum trimer of coupled two-level systems beyond the single-excitation sector, where the coherent coupling constants are ornamented by a complex phase. Accounting for losses and gain in an open quantum systems approach, we show how the mean populations of the states in the system crucially depend on the accumulated phase in the trimer. Namely, for non-trivial accumulated phases, the population dynamics and the steady states display remarkable non-reciprocal behaviour in both the singly and doubly excited manifolds. Furthermore, while the directionality of the resultant chiral current is primarily determined by the accumulated phase in the loop, the sign of the flow may also change depending on the coupling strength and the amount of gain in the system. This directionality paves the way for experimental studies of chiral currents at the nanoscale, where the phases of the complex hopping parameters are modulated by magnetic or synthetic magnetic fields.

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“…( 1) is the celebrated Fano-Anderson model, which has been originally developed to understand the impact of continua on discrete levels and asymmetries in absorption spectra [35]. Besides other applications, this and generalized Fano-Anderson models are also deployed to investigate transport through nano and mesoscopic systems [36][37][38][39].…”

Section: A Hamiltonianmentioning

confidence: 99%

Unusual Dynamical Properties of Disordered Polaritons in Micocavities

Engelhardt,

Cao

2021

Preprint

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The strong light-matter interaction in microcavities gives rise to intriguing phenomena, such as cavity-mediated transport that can potentially overcome the Anderson localization. Yet, an accurate theoretical treatment is challenging as the matter (e.g., molecules) are subject to large energetic disorder. In this article, we develop the Green's function solution to the Fano-Anderson model and use the exact analytical solution to quantify the effects of energetic disorder on the spectral and transport properties in microcavities. Starting from microscopic equation of motions, we derive an effective non-Hermitian Hamiltonian and predict a set of scaling laws: (i) The complex eigen-energies of the effective Hamiltonian exhibit an exceptional point, which leads to underdamped coherent dynamics in the weak disorder regime, where the decay rate increases with disorder, and overdamped incoherent dynamics in the strong disorder regime, where the slow decay rate decreases with disorder. (ii) The total density of states of disordered ensembles can be exactly partitioned into the cavity, bright-state and dark-state local density of states, which are determined by the complex eigen solutions and can be measured via spectroscopy. (iii) The cavity-mediated relaxation and transport dynamics are intimately related such that the energy-resolved relaxation and transport rates are proportional to the cavity local density of states. The ratio of the disorder averaged relaxation and transport rates equals the molecule number, which can be interpreted as a result of a quantum random walk. (iv) A turnover in the rates as a function of disorder or molecule density can be explained in terms of the overlap of the disorder distribution function and the cavity local density of states. These findings reveal the significant impact of the dark states on the local density of states and consequently their crucial role in optimizing spectroscopic and transport properties of disordered ensembles in cavities. I. INTRODUCTION.

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Tuning the Aharonov-Bohm effect with dephasing in nonequilibrium transport

Cited by 25 publications

References 64 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

Non-reciprocal population dynamics in a quantum trimer

Unusual Dynamical Properties of Disordered Polaritons in Micocavities

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