Precision bounds for multiple currents in open quantum systems

التفاصيل البيبلوغرافية
العنوان: Precision bounds for multiple currents in open quantum systems
المؤلفون: Moreira, Saulo V., Radaelli, Marco, Candeloro, Alessandro, Binder, Felix C., Mitchison, Mark T.
سنة النشر: 2024
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Statistical Mechanics
الوصف: Thermodynamic (TUR) and kinetic (KUR) uncertainty relations are fundamental bounds constraining the fluctuations of current observables in classical, non-equilibrium systems. Several works have verified, however, violations of these classical bounds in open quantum systems, motivating the derivation of new quantum TURs and KURs that account for the role of quantum coherence. Here, we go one step further by deriving multidimensional KUR and TUR for multiple observables in open quantum systems undergoing Markovian dynamics. Our derivation exploits a multi-parameter metrology approach, in which the Fisher information matrix plays a central role. Crucially, our bounds are tighter than previously derived quantum TURs and KURs for single observables, precisely because they incorporate correlations between multiple observables. We also find an intriguing quantum signature of correlations that is captured by the off-diagonal element of the Fisher information matrix, which vanishes for classical stochastic dynamics. By considering two examples, namely a coherently driven qubit system and the three-level maser, we demonstrate that the multidimensional quantum KUR bound can even be saturated when the observables are perfectly correlated.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2411.09088
رقم الانضمام: edsarx.2411.09088
قاعدة البيانات: arXiv
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