Quantum Time: experimental multi-time correlations
arXiv:1710.00707 · doi:10.1103/PhysRevD.96.102005
Abstract
In this paper we provide an experimental illustration of Page and Wootters' quantum time mechanism that is able to describe two-time quantum correlation functions. This allows us to test a Leggett-Garg inequality, showing a violation from the "internal" observer point of view. The "external" observer sees a time-independent global state. Indeed, the scheme is implemented using a narrow-band single photon where the clock degree of freedom is encoded in the photon's position. Hence, the internal observer that measures the position can track the flow of time, while the external observer sees a delocalized photon that has no time evolution in the experiment time-scale.
5 pages, 4 figures
References in corpus (7)
- Violation of the Leggett-Garg inequality with weak measurements of photons
- Problem of Time in Quantum Gravity
- Quantum Time
- Conditional probabilities with Dirac observables and the problem of time in quantum gravity
- Time from quantum entanglement: an experimental illustration
- Experimental violation of the Leggett-Garg inequality under decoherence
- The Leggett-Garg inequality and Page-Wootters mechanism
Cited by in corpus (18)
- Quantum measurements of time
- History state formalism for scalar particles
- There is only one time
- History state formalism for Dirac's theory
- Time in quantum mechanics: A fresh look at the continuity equation
- History states of systems and operators
- Time Observables in a Timeless Universe
- Relaxation of Multitime Statistics in Quantum Systems
- Flow of time during energy measurements and the resulting time-energy uncertainty relations
- A model of quantum spacetime
- The time-energy uncertainty relation for quantum events
- Peaceful coexistence of thermal equilibrium and the emergence of time
- Multi-time correlations in the positive-P, Q, and doubled phase-space representations
- Parallel-in-time optical simulation of history states
- Path Integrals from Spacetime Quantum Actions
- Time dilation of quantum clocks in a relativistic gravitational potential
- Time-System Entanglement and Special Relativity
- Time in quantum mechanics: A fresh look on quantum hydrodynamics and quantum trajectories