Tunneling dynamics of an oscillating universe model
arXiv:2110.09491 · doi:10.1088/1475-7516/2022/05/007
Abstract
Quasiclassical methods for non-adiabatic quantum dynamics can reveal new features of quantum effects, such as tunneling evolution, that are harder to reveal in standard treatments based on wave functions of stationary states. Here, these methods are applied to an oscillating universe model introduced recently. Our quasiclassical treatment correctly describes several expected features of tunneling states, in particular just before and after tunneling into a trapped region where a model universe may oscillate through many cycles of collapse and expansion. As a new result, the oscillating dynamics is found to be much less regular than in the classical description, revealing a succession of cycles with varying maximal volume even when the matter ingredients and their parameters do not change.
arXiv comment22 pages, 11 figures
References in corpus (35)
- Environment-independent decoherence rate in classically chaotic systems
- Effective Equations of Motion for Quantum Systems
- The Problem of Time in Quantum Gravity
- Quantum Gravity and Higher Curvature Actions
- Switching internal times and a new perspective on the 'wave function of the universe'
- Singularity resolution depends on the clock
- Unitarity, clock dependence and quantum recollapse in quantum cosmology
- Collapse of simple harmonic universe
- Oscillating Friedman Cosmology
- Statistical moments for classical and quantum dynamics: formalism and generalized uncertainty relations
- Effective potentials from semiclassical truncations
- Singularity avoidance in a quantum model of the Mixmaster universe
- Smooth Quantum Dynamics of Mixmaster Universe
- A Classical-Quantum Correspondence and Backreaction
- Time in quantum cosmology
- Multiple choices of time in quantum cosmology
- Quantum empty Bianchi I spacetime with internal time
- Classical and quantum behavior of the harmonic and the quartic oscillators
- Instability of an emergent universe
- Canonical Quantum Gravity and the Problem of Time
- The BKL scenario, infrared renormalization, and quantum cosmology
- Faithful realizations of semiclassical truncations
- Quantum Tunneling Effect in Oscillating Friedmann Cosmology
- Quantum Mixmaster as a model of the Primordial Universe
- Chaos in Bohmian Quantum Mechanics: A short review
- Clocks and dynamics in quantum models of gravity
- Affine Quantum Gravity
- Exploring eternal stability with the simple harmonic universe
- Spectral properties of the quantum Mixmaster universe
- Canonical Tunneling Time in Ionization Experiments
- Rolling with quantum fields
- Effective quantum tunneling from semiclassical momentous approach
- Quantum Higgs Inflation
- Tunneling decay rate in quantum cosmology
- Multi-field inflation from single-field models