A magnetic clock for a harmonic oscillator
arXiv:2310.13386 · doi:10.1103/PhysRevA.109.052212
Abstract
We present an implementation of a recently proposed procedure for defining time, based on the description of the evolving system and its clock as non-interacting, entangled systems, according to the Page and Wootters approach. We study how the quantum dynamics transforms into a classical-like behaviour when conditions related with macroscopicity are met by the clock alone, or by both the clock and the evolving system. In the description of this emerging behaviour finds its place the classical notion of time, as well as that of phase-space and trajectories on it. This allows us to analyze and discuss the relations that must hold between quantities that characterize system and clock separately, in order for the resulting overall picture be that of a physical dynamics as we mean it.
References in corpus (15)
- Relational Quantum Mechanics
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Quantum Time
- Quantum clocks and the temporal localisability of events in the presence of gravitating quantum systems
- Quantizing time: Interacting clocks and systems
- There is only one time
- Relational observables, reference frames, and conditional probabilities
- Noncausal Page-Wootters circuits
- Parametric representation of open quantum systems and crossover from quantum to classical environment
- Effective description of the short-time dynamics in open quantum systems
- Threshold size for the emergence of a classical-like behaviour
- Realistic clocks for a Universe without time
- Parametric description of the quantum measurement process
- From a quantum theory to a classical one
- Getting information via a quantum measurement: the role of decoherence