Quantum stochastic resonance in an a.c.-driven single-electron quantum dot

Wagner, Timo; Talkner, Peter; Bayer, Johannes C.; Rugeramigabo, Eddy P.; Hänggi, Peter; Haug, Rolf J.

doi:10.1038/s41567-018-0412-5

Cited by 61 publications

(37 citation statements)

References 30 publications

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“…4. From our theoretical analysis, we anticipate that the crossover from adiabatic to nonadiabatic dynamics will take place for driving frequencies that are on the order of the tunneling rates, a regime, where a stochastic resonance also occurs (22). To explore the crossover in detail, Fig.…”

Section: Resultsmentioning

confidence: 99%

Controlled emission time statistics of a dynamic single-electron transistor

et al. 2021

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Quantum technologies involving qubit measurements based on electronic interferometers rely critically on accurate single-particle emission. However, achieving precisely timed operations requires exquisite control of the single-particle sources in the time domain. Here, we demonstrate accurate control of the emission time statistics of a dynamic single-electron transistor by measuring the waiting times between emitted electrons. By ramping up the modulation frequency, we controllably drive the system through a crossover from adiabatic to nonadiabatic dynamics, which we visualize by measuring the temporal fluctuations at the single-electron level and explain using detailed theory. Our work paves the way for future technologies based on the ability to control, transmit, and detect single quanta of charge or heat in the form of electrons, photons, or phonons.

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Section: Resultsmentioning

confidence: 99%

Controlled emission time statistics of a dynamic single-electron transistor

et al. 2021

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“…In other words, stronger dissipation enhances the amplitude of oscillations of the system rather than suppresses it. Such a phenomenon is a kind of quantum stochastic resonance in which noises amplify and optimize the response of a driven system [14][15][16]. Figure 5(b) shows fast driving simulations with λ = 0.1 and various ∆µ.…”

Section: Field In Z Directionmentioning

confidence: 99%

“…The spin-boson and spin-fermion models represent the simplest nontrivial quantum dissipative models and are related to various physical and chemical problems. They are relevant for modeling charge transfer in photosynthesis [11], the Kondo problem for magnetic impurities [12,13], quantum stochastic resonance [14][15][16] and quantum decoherence in the context of a superconducting charge qubit [17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Dissipative features of the driven spin-fermion system

Chen

2019

Phys. Rev. B

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We study a generic spin-fermion model, where a two-level system (spin) is coupled to two metallic leads with different chemical potentials, in the presence of monochromatic driving fields. The real-time dynamics of the system is simulated beyond the Markovian limit by an iterative numerically exact influence functional path integral method. Our results show that although both system-bath coupling and chemical potential difference contribute to dissipation, their effects are distinct. In particular, under certain drivings the asymptotic Floquet states of the system exhibit robustness against a range of system-bath coupling strength: the asymptotic behaviors of the system are insensitive to different system-bath coupling strength, while they are highly tunable by the chemical potential difference of baths. Further simulations show that such robustness may be essentially a result of the interplay between driving, bath electronic structure and system-bath coupling. Therefore the robustness could break down depending on the characteristics of the interplay. In addition, under fast linearly polarized driving the quantum stochastic resonance is demonstrated that stronger system-bath coupling (stronger dissipation) enhances rather than suppresses the amplitude of coherent oscillations of the system. arXiv:1909.13276v2 [cond-mat.mes-hall]

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“…Since then, SR has been found and studied in a myriad of natural and engineered systems and has been thoroughly explored through theory, experiments, and numerical simulations. We report examples from laser systems [6], atomic physics [7], nanostructures [8], optics [9], control theory [10], circuits [11], ecology [12], geosciences [13,14], biology [15], physiology [16], neurosciences [17], and psychology [18], among others. Many valuable reviews of the topic are available [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Stochastic resonance for nonequilibrium systems

Lucarini

2019

Phys. Rev. E

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Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy systems, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values. We propose here a general mathematical framework based on large deviation theory and, specifically, on the theory of quasipotentials, for describing SR in noisy N-dimensional nonequilibrium systems possessing two metastable states and undergoing a periodically modulated forcing. The drift and the volatility fields of the equations of motion can be fairly general, and the competing attractors of the deterministic dynamics and the edge state living on the basin boundary can, in principle, feature chaotic dynamics. Similarly, the perturbation field of the forcing can be fairly general. Our approach is able to recover as special cases the classical results previously presented in the literature for systems obeying detailed balance and allows for expressing the parameters describing SR and the statistics of residence times in the two-state approximation in terms of the unperturbed drift field, the volatility field, and the perturbation field. We clarify which specific properties of the forcing are relevant for amplifying or suppressing SR in a system and classify forcings according to classes of equivalence. Our results indicate a route for a detailed understanding of SR in rather general systems.

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Quantum stochastic resonance in an a.c.-driven single-electron quantum dot

Cited by 61 publications

References 30 publications

Controlled emission time statistics of a dynamic single-electron transistor

Controlled emission time statistics of a dynamic single-electron transistor

Dissipative features of the driven spin-fermion system

Stochastic resonance for nonequilibrium systems

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