Related papers: Quantum Time and the Time-Dilation induced Interaction Transfer mechanism

Quantum Time and the Time-Dilation induced Interaction Transfer mechanism

URL: http://arxiv.org/abs/2407.00161v1
Date: Fri, 28 Jun 2024 18:00:33 GMT
Title: Quantum Time and the Time-Dilation induced Interaction Transfer mechanism
Authors: Dario Cafasso, Nicola Pranzini, Jorge Yago Malo, Vittorio Giovannetti, Marilù Chiofalo,
Abstract summary: We study the quantum time-dilation effect as an effective interaction involving 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.
Score: 0.46603287532620735
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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.

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