تقرير
Quantum Time and the Time-Dilation induced Interaction Transfer mechanism
العنوان: | Quantum Time and the Time-Dilation induced Interaction Transfer mechanism |
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المؤلفون: | Cafasso, Dario, Pranzini, Nicola, Malo, Jorge Yago, Giovannetti, Vittorio, Chiofalo, Marilù |
سنة النشر: | 2024 |
المجموعة: | General Relativity and Quantum Cosmology Quantum Physics |
مصطلحات موضوعية: | Quantum Physics, General Relativity and Quantum Cosmology |
الوصف: | Given a bipartite quantum system in an energy eigenstate, the dynamical description for one component can be derived via entanglement using the other component as a clock. This is the essence of the Page and Wootters mechanism. Moreover, if the clock is subject to a gravitational-like interaction, relative time evolution is then described by a Time-Dilated Schr\"odinger equation, in which the so-called Redshift Operator describes a purely quantum effect, analogue to gravitational time-dilation. Here we adopt a non-perturbative approach and present a finite-dimensional generalisation of this mechanism, expressing the quantum time-dilation effect as an effective interaction involving previously non-interacting system components. We name this a Time-Dilation induced Interaction Transfer (TiDIT) mechanism and discuss an example using two coupled spins as a quantum clock model. Our approach is suitable for implementations in current quantum technology and provides a new tool for exploring gravity at the intersection with quantum physics. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2407.00161 |
رقم الأكسشن: | edsarx.2407.00161 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |