Motivated by inflation and Liouville theory, we consider random $d$-dimensional geometries characterized by an overall scale factor $ds^2 = e^{2 \zeta} dx^2 $ given in terms of a random Gaussian field $\zeta(x)$ with logarithmic correlations. We discuss aspects of the renormalization of the volume element $e^{d \zeta }...
Jordan S. Cotler, Victor Ivo, Juan Maldacena· 1 citation· ⚡1
Chaos in classical systems can be characterized by Lyapunov exponents that measure the exponential divergence of nearby trajectories, but directly extending this framework to quantum mechanics has been a persistent challenge. The wavelike nature of quantum states and the non-commutative geometry of quantum phase space...
Decoherence in quantum systems is conventionally modeled as the effect of interactions with an external environment. However, such a prescription excludes isolated many-body systems, which are also expected to display classical behavior at macroscopic scales. In isolated systems, decoherence must emerge internally from...
S. Pilatowsky-Cameo, Jordan S. Cotler, Daniel Ranard et al.· 1 citation· ⚡1
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