Waiting time distribution revealing the internal spin dynamics in a double quantum dot

Abstract

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The waiting time distribution exhibits a non-trivial dependence on the value of the exchange coupling between the dots and the gradient of the applied magnetic field, which reveals the oscillations between the spin states of the molecule. The zero-frequency full counting statistics, on the other hand, is independent of the aforementioned quantities, thus giving no insight into the internal dynamics. The fact that the waiting time distribution and the zero-frequency full counting statistics give a non-equivalent information is associated with two factors. Firstly, it can be explained by the sensitivity to different timescales of the dynamics of the system. Secondly, it is associated with the presence of the correlation between subsequent waiting times, which makes the renewal theory, relating the full counting statistics and the waiting time distribution, not longer applicable. The study highlights the particular usefulness of the waiting time distribution for the analysis of the internal dynamics of mesoscopic systems.

16 pages, 12 figures. Accepted for publication in Phys. Rev. B

References in corpus (36)

• The large deviation approach to statistical mechanics
• Electrically driven single electron spin resonance in a slanting Zeeman field
• Franck-Condon blockade and giant Fano factors in transport through single molecules
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
• Electrically controlling single spin qubits in a continuous microwave field
• Electron counting in quantum dots
• Full counting statistics of nano-electromechanical systems
• Noise enhancement due to quantum coherence in coupled quantum dots
• Counting statistics and super-Poissonian noise in a quantum dot
• Electron Waiting Times in Mesoscopic Conductors
• Two-electron bunching in transport through a QD induced by Kondo correlations
• Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
• Two-Particle Dark State in the Transport through a Triple Quantum Dot
• Pauli spin blockade in weakly coupled quantum dots
• Bimodal Counting Statistics in Single Electron Tunneling through a Quantum Dot
• Effects of different geometries on the conductance, shot noise and tunnel magnetoresistance of double quantum dots
• Transport through quantum-dot spin valves containing magnetic impurities
• Measuring the degeneracy of discrete energy levels using a GaAs/AlGaAs quantum dot
• Electronic waiting-time distribution of a quantum-dot spin valve
• Transport through a double quantum dot system with non-collinearly polarized leads
• Electron waiting times in coherent conductors are correlated
• Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
• Shot noise spectroscopy on a semiconductor quantum dot in the elastic and inelastic cotunneling regimes
• Nonrenewal statistics in transport through quantum dots
• Coherent spin rotations in open driven double quantum dots
• Controlling shot noise in double-barrier magnetic tunnel junctions
• Bipolar spin filter in a quantum dot molecule
• Spin correlations in spin blockade
• Quantum-jumps and photon-statistic in fluorescent systems coupled to classically fluctuating reservoirs
• Parameter estimation by multi-channel photon counting
• Spin-polarized transport through weakly coupled double quantum dots in the Coulomb-blockade regime
• Formation of pure two-electron triplet states in weakly coupled quantum dots attached to ferromagnetic leads
• Superpoissonian shot noise in organic magnetic tunnel junctions
• Magnetoresistence engineering and singlet/triplet switching in InAs nanowire quantum dots with ferromagnetic sidegates
• Shot noise in magnetic tunneling structures with two-level quantum dots

Cited by in corpus (4)

• First-passage times in renewal and nonrenewal systems
• Non-renewal statistics in quantum transport through the eyes of first-passage and waiting time distributions
• Revealing the internal spin dynamics in a double quantum dot by periodic voltage modulation
• Synchronized coherent charge oscillations in coupled double quantum dots