Quantum thermodynamics of de Sitter space

Abstract

We consider the local physics of an open quantum system embedded in an expanding three-dimensional space $\mathbf{x}$, evolving in cosmological time $t$, weakly coupled to a massless quantum field. We derive the corresponding Markovian master equation for the system's nonunitary evolution and show that, for a de Sitter space with Hubble parameter $h=$ const., the background fields act as a physical heat bath with temperature $T_{\mathrm{dS}}=h/2\pi$. The energy density of this bath obeys the Stefan-Boltzmann law ${\rho }_{\mathrm{dS}}\propto h^4$. We comment on how these results clarify the thermodynamics of de Sitter space and support previous arguments for its instability in the infrared. The cosmological implications are considered in an accompanying letter.

arXiv comment14 pages + Appendix (3 pages). v3: added discussion of relation to other approaches to thermal physics in dS, references improved, typos fixed. To appear in PRD

References in corpus (23)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Warm Inflation and its Microphysical Basis
• An Algebra of Observables for de Sitter Space
• De Sitter Space and Eternity
• The Trouble with de Sitter Space
• Quantum Gravity Slows Inflation
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• Cosmological expansion and local physics
• De Sitter Musings
• A Brief History of the GKLS Equation
• Cosmological Particle Production: A Review
• An effective field theory during inflation: reduced density matrix and its quantum master equation
• Decoherence, discord and the quantum master equation for cosmological perturbations
• Non-Perturbative Models For The Quantum Gravitational Back-Reaction On Inflation
• Observational constraints on quantum decoherence during inflation
• Characters of different secular effects in various patches of de Sitter space
• The warm inflation story
• Benchmarking the cosmological master equations
• Universal signature of quantum entanglement across cosmological distances
• Quantum Theory of Triboelectricity
• On the Question of Temperature Transformations under Lorentz and Galilei Boosts
• Interaction of a quantum field with a rotating heat bath

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