Current noise spectra and mechanisms with dissipaton equation of motion theory

Jin, Jinshuang; Wang, Shikuan; Zheng, Xiao; Yan, YiJing

doi:10.1063/1.4922712

Cited by 44 publications

(81 citation statements)

References 49 publications

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“…It may suggest that this resonant regime is good for the observation of the coherent signal in the current-fluctuation spectrum experimentally. Beyond the resonance regime, the system will enter into the cotunneling regime which is beyond the present approach and we have to recur to more advanced approaches such as the hierarchical equations of motion [28,34,41,46] and the real-time diagrammatic technique [29,30] for the consideration of higher-order contributions in the self-energy.…”

Section: Coupled Double Qdsmentioning

confidence: 99%

Non-Markovian correlation functions for open quantum systems

2016

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Beyond the conventional quantum regression theorem, a general formula for non-Markovian correlation functions of arbitrary system operators both in the time-and frequency-domain is given. We approach the problem by transforming the conventional time-non-local master equation into dispersed time-local equations-of-motion. The validity of our approximations is discussed and we find that the non-Markovian terms have to be included for short times. While calculations of the density matrix at short times suffer from the initial value problem, a correlation function has a well defined initial state. The resulting formula for the non-Markovian correlation function has a simple structure and is as convenient in its application as the conventional quantum regression theorem for the Markovian case. For illustrations, we apply our method to investigate the spectrum of the current fluctuations of interacting quantum dots contacted with two electrodes. The corresponding non-Markovian characteristics are demonstrated.

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Section: Coupled Double Qdsmentioning

confidence: 99%

Non-Markovian correlation functions for open quantum systems

2016

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“…In practical calculations, an iterative quasiminimal residual algorithm [69,70] is employed for solving the large-sized coupled linear equations [28]. Equation (8) can also be called the dissipaton equation of motion (DEOM) [71][72][73]. The latter is a quasi-particle theory, which identities the physical meaning of individual r r…”

Section: Introductionmentioning

confidence: 99%

“…. Besides equation (8), the DEOM theory includes also the underlying dissipaton algebra, especially the generalized Wick's theorem [71][72][73]. This extends the real-time dynamics further to the interacting bath subspace.…”

Section: Introductionmentioning

confidence: 99%

Manipulating quantum coherence of charge states in interacting double-dot Aharonov–Bohm interferometers

et al. 2018

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We investigate the dynamics of charge-state coherence in a degenerate double-dot Aharonov-Bohm interferometer with finite inter-dot Coulomb interactions. The quantum coherence of the charge states is found to be sensitive to the transport setup configurations, involving both the single-electron impurity channels and the Coulomb-assisted ones. We numerically demonstrate the emergence of a complete coherence between the two charge states, with the relative phase being continuously controllable through the magnetic flux. Interestingly, a fully coherent charge qubit arises at the double-dots electron pair tunneling resonance condition, where the chemical potential of one electrode is tuned at the center between a single-electron impurity channel and the related Coulombassisted channel. This pure quantum state of charge qubit could be experimentally realized at the current-voltage characteristic turnover position, where differential conductance sign changes. We further elaborate the underlying mechanism for both the real-time and the stationary charge-states coherence in the double-dot systems of study.

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“…Regardless of the dispersion function Λ(ω), the noise spectrum always shows the typical non-Markovian quasisteps as consistent with the demonstration in the electron transport through single quantum dot. [26][27][28][29][30][31] These non-Markovian quasisteps appear in the so-called high frequency regime around the energy-resonance of ω ≈ ω α0 = |ε ± − µ α | and ω ≈ ω αU = |ε ± + U − µ α |. On the formula, these non-Markovian quasisteps come from the bath interaction spectrum describing energy-dependent tunneling rate Γ (±) α (ω) expressed in Eq.…”

Section: B Frequency-dependent Noise Spectrum: Renormalization and Nmentioning

confidence: 99%

“…[18][19][20] The finite-frequency noise spectrum would even access the energetic and dynamical information on the system, and the system-electrode composite systems. [21][22][23][24][25][26][27][28][29][30][31][32] The advances in nano-technology allow now to control and fabricate the double-dot structures. Recent experiments have realized for the measurements of quantum level repulsion, 33 the demonstration of coherent dynamics between the dot states, 3 and the observation of the zero-frequency shot noise.…”

Section: Introductionmentioning

confidence: 99%

Noise spectrum of quantum transport through double quantum dots: Renormalization and non-Markovian effects

Shi

Ying

et al. 2016

AIP Advances

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Based on the time-nonlocal particle number-resolved master equation, we investigate the sequential electron transport through the interacting double quantum dots. Our calculations show that there exists the effect of energy renormalization in the dispersion of the bath interaction spectrum and it is sensitive to the the bandwidth of the bath. This effect would strongly affect the stationary current and its zero-frequency shot noise for weak inter-dot coherent coupling strength, but for strong inter-dot coupling regime, it is negligible due to the strong intrinsic Rabi coherent dynamics. Moreover, the possible observable effects of the energy renormalization in the noise spectrum are also investigated through the Rabi coherence signal. Finally, the non-Markovian effect is manifested in the finite-frequency noise spectrum with the appearance of quasisteps, and the magnitude of these quasisteps are modified by the dispersion function.

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Current noise spectra and mechanisms with dissipaton equation of motion theory

Cited by 44 publications

References 49 publications

Non-Markovian correlation functions for open quantum systems

Non-Markovian correlation functions for open quantum systems

Manipulating quantum coherence of charge states in interacting double-dot Aharonov–Bohm interferometers

Noise spectrum of quantum transport through double quantum dots: Renormalization and non-Markovian effects

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