Quantum evolution according to real clocks

Abstract

We characterize good clocks, which are naturally subject to fluctuations, in statistical terms. We also obtain the master equation that governs the evolution of quantum systems according to these clocks and find its general solution. This master equation is diffusive and produces loss of coherence. Moreover, real clocks can be described in terms of effective interactions that are nonlocal in time. Alternatively, they can be modeled by an effective thermal bath coupled to the system.

RevTeX 3.01, 6 pages

References in corpus (7)

• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Measurement of Time-of-Arrival in Quantum Mechanics
• Spacetime foam as a quantum thermal bath
• Space-time properties of free motion time-of-arrival eigenstates
• Thermal properties of spacetime foam
• The time of arrival concept in quantum mechanics
• Time-of-Arrival States

Cited by in corpus (24)

• Time from quantum entanglement: an experimental illustration
• Fundamental decoherence from quantum gravity: a pedagogical review
• A relational solution to the problem of time in quantum mechanics and quantum gravity induces a fundamental mechanism for quantum decoherence
• Relational physics with real rods and clocks and the measurement problem of quantum mechanics
• Quantum evolution in spacetime foam
• Extreme Decoherence and Quantum Chaos
• Spectral Filtering Induced by Non-Hermitian Evolution with Balanced Gain and Loss: Enhancing Quantum Chaos
• Loss of coherence from discrete quantum gravity
• Decoherence in Conformal Field Theory
• Krylov Complexity and Spectral Form Factor for Noisy Random Matrix Models
• Defending Continuous Variable Teleportation: Why a laser is a clock, not a quantum channel
• Unitarity breaking in self-averaging spectral form factors
• Classical and quantum general relativity: a new paradigm
• Quantum Chaos and Coherence: Random Parametric Quantum Channels
• Decoherence rate in random Lindblad dynamics
• A single-world consistent interpretation of quantum mechanics from fundamental time and length uncertainties
• There is no unmet requirement of optical coherence for continuous-variable quantum teleportation
• Real clocks and the Zeno effect
• The time as an emergent property of quantum mechanics, a synthetic description of a first experimental approach
• No-signaling non-unitary modification of quantum dynamics within a deterministic model of quantization
• Double-Bracket Master Equations: Phase-Space Representation and Classical Limit
• A note on the quantum of time
• Resilience-Runtime Tradeoff Relations for Quantum Algorithms
• Spontaneous decoherence as a result of randomness in the flow of time