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Dynamical quantum correlations of Ising models on an arbitrary lattice and their resilience to decoherence

التفاصيل البيبلوغرافية
العنوان: Dynamical quantum correlations of Ising models on an arbitrary lattice and their resilience to decoherence
المؤلفون: M Foss-Feig, K R A Hazzard, J J Bollinger, A M Rey, C W Clark
المصدر: New Journal of Physics, Vol 15, Iss 11, p 113008 (2013)
بيانات النشر: IOP Publishing, 2013.
سنة النشر: 2013
المجموعة: LCC:Science
LCC:Physics
مصطلحات موضوعية: Science, Physics, QC1-999
الوصف: Ising models, and the physical systems described by them, play a central role in generating entangled states for use in quantum metrology and quantum information. In particular, ultracold atomic gases, trapped ion systems, and Rydberg atoms realize long-ranged Ising models, which even in the absence of a transverse field can give rise to highly non-classical dynamics and long-range quantum correlations. In the first part of this paper, we present a detailed theoretical framework for studying the dynamics of such systems driven (at time t = 0) into arbitrary unentangled non-equilibrium states, thus greatly extending and unifying the work of Foss-Feig et al (2013 Phys. Rev. A 87 042101). Specifically, we derive exact expressions for closed-time-path ordered correlation functions, and use these to study experimentally relevant observables, e.g. Bloch vector and spin-squeezing dynamics. In the second part, these correlation functions are then used to derive closed-form expressions for the dynamics of arbitrary spin-spin correlation functions in the presence of both T _1 (spontaneous spin relaxation/excitation) and T _2 (dephasing) type decoherence processes. Even though the decoherence is local, our solution reveals that the competition between Ising dynamics and T _1 decoherence gives rise to an emergent non-local dephasing effect, thereby drastically amplifying the degradation of quantum correlations. In addition to identifying the mechanism of this deleterious effect, our solution points toward a scheme to eliminate it via measurement-based coherent feedback.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1367-2630
Relation: https://doaj.org/toc/1367-2630
DOI: 10.1088/1367-2630/15/11/113008
URL الوصول: https://doaj.org/article/af3944a83f434b749d466a832caa1b0d
رقم الأكسشن: edsdoj.f3944a83f434b749d466a832caa1b0d
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:13672630
DOI:10.1088/1367-2630/15/11/113008