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- W2779663018 abstract "The low-temperature limit of charge qubit decoherence due to its Coulombinteraction with electrons tunneling through Luttinger liquid quantum-pointcontact (QPC) is investigated. The study is focused on quantum detectorproperties of Luttinger liquid QPC. Efficiency of Luttinger liquidqurrent-carrying quantum point-contact (QPC) as quantum detector for thecoupled charge qubit quantum state is characterized by the ratio of decoherencetime and the acquisition of information time and how both depend onelectron-electron interaction has remained an interesting open question. Herethis question is answered in its most challenging zero- (and near zero-)temperature realization where the latter two characteristic time-scales, bothtends to zero shadowing true picture of quantum detection in thezero-temperature limit. In order to resolve this difficulty two importantmathematical statements (S-theorem and S-lemma) have been proven here for thefirst time. As the result, it was established here that low-temperatureproperties of QPC quantum detector with 1D electrodes are defined explicitly bythe competition between two different time-scales those reflecting twodifferent types of physical processes in the system. These processes are: i)the orthogonality catastrophe-type decoherence of charge-qubit, one isanalogous to the decay of Kondo-resonance narrowed by QPC plasmons; ii)Kane-Fisher suppression of the electron tunneling through Luttinger liquid QPCresulting in the divergence of electron tunneling time. In particular, it hasbeen found that at temperatures close to zero there exists a certainwell-defined threshold value $ g=g_{cr} $ of Luttinger liquid correlationparameter which serves as a sharp boundary between region of good (or evenperfect) quantum detection at $ g<g_{cr} $ and the region of quantum detectorbreak down where $ g>g_{cr} $." @default.
- W2779663018 created "2018-01-05" @default.
- W2779663018 creator A5031025560 @default.
- W2779663018 date "2017-12-27" @default.
- W2779663018 modified "2023-09-27" @default.
- W2779663018 title "Interaction-dependent instability of quantum-point contact detector for charge-qubit: exact theorem" @default.
- W2779663018 hasPublicationYear "2017" @default.
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