The gravity-related decoherence master equation from hybrid dynamics

Abstract

Canonical coupling between classical and quantum systems cannot result in reversible equations, rather it leads to irreversible master equations. Coupling of quantized non-relativistic matter to gravity is illustrated by a simplistic example. The heuristic derivation yields the theory of gravity-related decoherence proposed longtime ago by Penrose and the author.

9pp, extended version of invited talk at Fifth International Workshop DICE2010 (Castello Pasquini/Castiglioncello/Tuscany, Sept. 13-17, 2010)

References in corpus (5)

• Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence
• A Quantum-Classical Brackets from p-Mechanics
• Quantum-classical interactions and measurement: a consistent description using statistical ensembles on configuration space
• Does wave function collapse cause gravity?
• The frictional Schrödinger-Newton equation in models of wave function collapse

Cited by in corpus (25)

• Linear dynamics of quantum-classical hybrids
• Sourcing semiclassical gravity from spontaneously localized quantum matter
• Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity
• Journeys from Quantum Optics to Quantum Technology
• Principle of least decoherence for Newtonian semi-classical gravity
• Statistical consistency of quantum-classical hybrids
• Nonadiabatic molecular dynamics simulation: An approach based on quantum measurement picture
• Objective trajectories in hybrid classical-quantum dynamics
• Testing the quantum nature of gravity without entanglement
• The constraints of post-quantum classical gravity
• The weak field limit of quantum matter back-reacting on classical spacetime
• Interacting classical and quantum particles
• Decoherence and the conditions for the classical control of quantum systems
• A healthier semi-classical dynamics
• Distinguishable consequence of classical gravity on quantum matter
• Gravitational interaction through a feedback mechanism
• Classicalization of Quantum Variables and Quantum-Classical Hybrids
• The Diósi-Penrose model of classical gravity predicts gravitationally induced entanglement
• Heralded entangled coherent states between spatially separated massive resonators
• The classical-quantum hybrid canonical dynamics and its difficulties with special and general relativity
• Gravitational entanglement witness through Einstein ring image
• Quantum-classical hybrid dynamics: coupling mechanisms and diffusive approximation
• Gravity as a classical channel and its dissipative generalization
• Decoherence of Atomic Ensembles in Optical Lattice Clocks by Gravity
• Sudden Decoherence by Resonant Particle Excitation for Testing Gravity-Induced Entanglement