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Quantum interferometric visibility as a witness of general relativistic proper time (1105.4531v2)

Published 23 May 2011 in quant-ph and gr-qc

Abstract: Current attempts to probe general relativistic effects in quantum mechanics focus on precision measurements of phase shifts in matter-wave interferometry. Yet, phase shifts can always be explained as arising due to an Aharonov-Bohm effect, where a particle in a flat space-time is subject to an effective potential. Here we propose a novel quantum effect that cannot be explained without the general relativistic notion of proper time. We consider interference of a "clock" - a particle with evolving internal degrees of freedom - that will not only display a phase shift, but also reduce the visibility of the interference pattern. According to general relativity proper time flows at different rates in different regions of space-time. Therefore, due to quantum complementarity the visibility will drop to the extent to which the path information becomes available from reading out the proper time from the "clock". Such a gravitationally induced decoherence would provide the first test of the genuine general relativistic notion of proper time in quantum mechanics.

Citations (215)

Summary

  • The paper introduces a novel interferometric method using quantum clocks to witness proper time differences due to gravitational time dilation.
  • The experiment employs a Mach-Zehnder interferometer where a particle’s internal state serves as a clock, linking fringe visibility reduction to time dilation.
  • The study provides a promising avenue to reconcile quantum mechanics with general relativity by treating proper time as a quantum observable.

Quantum Interferometric Visibility as a Witness of General Relativistic Proper Time

The concept of time has always been central in both theoretical physics and experimental endeavors. In the field of quantum mechanics and general relativity, two foundational theories of modern physics, time is treated in fundamentally distinct ways. This paper by Zych et al. addresses the intriguing possibility of bridging these theories by exploring the effect of general relativistic time dilation on quantum systems through interferometric experiments.

Summary of Key Contributions

This paper introduces a new method to investigate the interplay between quantum mechanics and general relativity, specifically focusing on the proper time's role as predicted by relativity in the context of quantum interferometry. The authors propose measuring the visibility loss in an interferometer due to relativistic time dilation experienced by a particle acting as a "clock."

Novel Quantum Effect

At the heart of the paper is the introduction of a novel quantum effect that cannot be explained purely through the Newtonian potential or analogous situations like the Aharonov-Bohm effect. The authors propose an interferometric setup in which a particle with internal degrees of freedom acts as a clock. This setup allows the paths in the interferometer to acquire different amounts of proper time, leading to observable changes in interference pattern visibility. The extent of visibility reduction can provide a direct measurement of the proper time difference—a purely relativistic effect in a quantum context.

Experimental Proposal

The authors propose utilizing particles with internal states that evolve over time, such as two-level atom systems, within a Mach-Zehnder interferometer. When two paths have different heights in a gravitational field, the path-dependent proper time variations affect the clock's internal states differently. The reduction in fringe visibility becomes a witness to this difference, providing compelling evidence of relativistic time dilation affecting quantum superpositions.

Highlights of Results

  • Visibility Decrease: The interference visibility drops as a result of information regarding the proper time difference becoming available from the "clock's" internal state changes. This decoherence effect directly ties to gravitationally-induced time dilation.
  • Phase Shift: An additional phase shift proportional to the average internal energy of the clock is noted, which diverges from typical harmonic influences like Aharonov-Bohm phases.

Implications and Future Possibilities

The implications of these findings are profound both theoretically and experimentally. They offer a concrete, measurable effect that gracefully intertwines quantum mechanics with relativistic principles. Furthermore, from a purely theoretical standpoint, they hint at the potential for proper time to be treated as a quantum degree of freedom with its own dynamics.

  • Theoretical Input: The proposal reinforces the notion that fundamental interactions between quantum mechanics and general relativity may reveal additional aspects of quantum time, providing a potential pathway towards a unified theoretical framework.
  • Experimental Realization: Experimentally, advancements in maintaining coherence and controlling system parameters could lead to this effect being observable in a laboratory setting, setting a precedent for future experiments probing quantum and relativistic intersections.

Conclusion

Zych et al.'s work lays the groundwork for exciting experiments that might finally allow time—which bends under gravity and ticks distinctly in a quantum regime—to assume a more unified role in physics. The conceptualization of using quantum clock-like systems to measure relativistic time in an experimental setup is a promising advancement with profound implications for the development of quantum gravity theories. Such cross-experimental results might eventually guide future theoretical explorations and bring us closer to reconciling quantum mechanics with general relativity.

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