1. Coherent spin states and emergent de Sitter quasinormal modes
- Author
-
Klaas Parmentier
- Subjects
de Sitter space ,Matrix Models ,Models of Quantum Gravity ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
Abstract As a toy model for the microscopic description of matter in de Sitter space, we consider a Hamiltonian acting on the spin-j representation of SU(2). This is a model with a finite-dimensional Hilbert space, from which quasinormal modes emerge in the large-spin limit. The path integral over coherent spin states can be evaluated at the semiclassical level and from it we find the single-particle de Sitter density of states, including 1/j corrections. Along the way, we discuss the use of quasinormal modes in quantum mechanics, starting from the paradigmatic upside-down harmonic oscillator.
- Published
- 2024
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