Abstract
Quantum interference of "clocks", namely of particles with time-evolving internal degrees of freedom (DOFs), is a promising avenue to test genuine general relativistic effects in quantum systems. The clock acquires which path information while experiencing different proper times on traversing the arms of the interferometer, leading to a drop in its path visibility. We consider scenarios where the clock is subject to environmental noise as it transits through the interferometer. In particular, we develop a generalized formulation of interferometric visibility affected by noise on the clock. We find that, for small noise and small proper time difference between the arms, the noise further reduces the visibility, while in more general situations it can either increase or reduce the visibility. As an example, we investigate the effect of a thermal environment constituted by a single field mode and show that the visibility drops further as the temperature is increased. Additionally, by considering noise models based on standard quantum channels, we show that interferometric visibility can increase or decrease depending on the type of noise and also the time scale and transition probabilities. The quantification of the effect of noise on the visibility – particularly in the case of a thermal environment paves the way for a better estimate on the expected outcome in an actual experiment.
Highlights
One of the frontiers of modern physics has been to explore the interplay between quantum mechan-The experimental tests probing the effect of gravity on quantum systems which have been performed so far, such as neutron interferometry [19, 20], are only sensitive to the non-relativistic, Newtonian potential
Clock interferometry is one of the promising theoretical proposals which captures the interplay between quantum mechanics and gravity
The drop in interferometric visibility can be seen as a genuine effect of time dilation due to gravity on a quantum system
Summary
One of the frontiers of modern physics has been to explore the interplay between quantum mechan-. We find that in the low noise regime, the visibility drops universally (in all the models) for a small proper time difference This can be intuitively expected as the effect of the extended Hilbert space of the clock system overwhelms the loss in which path information.Our formalism allows for the case wherein different environments (though qualitatively similar), act on each of the two arms of the interferometer. In this case, the environment can acquire which-path information, resulting in a visibility loss that does not depend uniquely on relativistic effects. We explore this case in channel based noise models
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.