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Bulletin of the American Physical Society

Decoherence of an entangled states of a strongly-correlated double quantum dot structure through tunneling processes

C.A. B usser, Fabian Heidrich‐Meisner

Published Mar 3, 2014• 0 citations
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We consider two quantum dots described by the Anderson-impurity model with one electron per dot. The goal of our work is to study the decay of a maximally entangled state between the two electrons localized in the dots. We prepare the system in a perfect singlet and then tunnel couple one of the dots to leads, which induces nonequilibrium dynamics. We identify two cases: If the leads are subject to a sufficiently large voltage and thus a finite current, then direct-tunneling processes cause decoherence and the entanglement as well as spin correlations decay exponentially fast. At zero voltage or small voltages and beyond the mixed-valence regime, virtual-tunneling processes dominate and lead to a slower loss of coherence. We analyze this problem by studying the real-time dynamics of the spin correlations and the concurrence using two techniques, namely, the time-dependent density matrix renormalization group method and a master-equation method. The results from these two approaches are in excellent agreement in the direct-tunneling regime for the case in which the dot is weakly tunnel coupled to the leads. We present a quantitative analysis of the decay rates of the spin correlations and the concurrence as a function of tunneling rate, interaction strength, and voltage.
This work explores the generation and robustness dynamics of coupled double quantum dots using uncertainty-induced (UI) nonlocality, maximum Bell-CHSH inequality, and log-negativity with intrinsic-decoherence. This study examines the generation of Bell-CHSH nonlocality, UI-nonlocality, and log-negativity entanglement using a separable two-double-quantum-dots state. Enhancing these features is achieved by tuning intrinsic decoherence and dot interaction strengths, highlighting their potential for creating robust quantum correlations. The two-double-quantum-dots correlated states can be produced and enhanced by increasing the pair-dots tunneling couplings and Coulomb-two-electrons interactions. The decoherence effect acceleration depends on Coulomb-two-electrons interactions and the pair-dots tunneling coupling. For a maximally entangled state, the robustness dynamics of the initial maximal Bell-CHSH-nonlocality, UI-nonlocality, and log-negativity’s entanglement, is explored against the two-double-quantum-dots interactions and the decoherence effects.
Semiconductor double‐quantum dots represent an ideal system for studying the novel spin physics of localized spins. On each quantum dot when the number of electrons is odd and the net spin is 1/2, a strong coupling of this localized spin to conducting electrons in the leads gives rise to Kondo correlation. On the other hand, in the coupled double‐quantum‐dot if the inter‐dot antiferromagnetic interaction is strong, the two spins can form a correlated spin‐singlet state, quenching the Kondo effect. This competition between Kondo and antiferromagnetic correlation is studied in a controlled manner by tuning the inter‐dot tunnel coupling. Increasing the inter‐dot tunneling, we observe a continuous transition from a single‐peaked to a double‐peaked Kondo resonance in the differential conductance. On the double‐peaked side, the differential conductance becomes suppressed at zero source‐drain bias. The observed strong suppression of the differential conductance at zero bias provides direct evidence signaling the formation of an entangled spin‐singlet state. This evidence for entanglement and the tunability of our devices bode well for quantum computation applications.