Open-system quantum complexity is governed by a sub-Finslerian geometry whose curvature depends on the cost penalties for unitary and dissipative controls.
Quantum thermodynamics of de Sitter space
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
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 $T_{\rm dS} = h / 2 \pi$. The energy density of this bath obeys the Stefan-Boltzmann law $\rho_{\rm dS} \propto h^4$. 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.
representative citing papers
A vacuum-decay model generates primordial curvature perturbations from spatially correlated stochastic noise rather than inflaton fluctuations, solving horizon and flatness problems with zero tensor-to-scalar ratio.
citing papers explorer
-
The Geometry of Quantum Complexity in Open Systems
Open-system quantum complexity is governed by a sub-Finslerian geometry whose curvature depends on the cost penalties for unitary and dissipative controls.
-
The Noise of Vacuum
A vacuum-decay model generates primordial curvature perturbations from spatially correlated stochastic noise rather than inflaton fluctuations, solving horizon and flatness problems with zero tensor-to-scalar ratio.