Evolution of Quantum Nonequilibrium for Coupled Harmonic Oscillators
arXiv:2205.13701 · doi:10.1098/rspa.2022.0411
Abstract
In the context of de Broglie-Bohm pilot-wave theory, violations of the Born rule are allowed and can be considered as describing nonequilibrium distributions. We study the effects of interactions on quantum relaxation towards equilibrium for a system of one-dimensional coupled harmonic oscillators. We show by numerical simulations that interactions can delay or even prevent complete relaxation for some initial states. We also discuss how this effect might be relevant for cosmological scenarios and how nonequilibrium could be detected in some models.
arXiv comment15 pages, 7 figures
References in corpus (28)
- Reheating in Inflationary Cosmology: Theory and Applications
- Dynamical Origin of Quantum Probabilities
- Multiple field inflation
- Quantum cosmology from the de Broglie-Bohm perspective
- Timescales for dynamical relaxation to the Born rule
- Inflationary Cosmology as a Probe of Primordial Quantum Mechanics
- Particle Creation in Bouncing Cosmologies
- Quantum-to-classical transition of primordial cosmological perturbations in de Broglie--Bohm quantum theory
- Astrophysical and Cosmological Tests of Quantum Theory
- Motion of vortices implies chaos in Bohmian mechanics
- The Bohm Interpretation of Quantum Cosmology
- Long-time relaxation in pilot-wave theory
- Nodal points and the transition from ordered to chaotic Bohmian trajectories
- Primordial quantum nonequilibrium and large-scale cosmic anomalies
- Quantum non-equilibrium and relaxation to equilibrium for a class of de Broglie-Bohm-type theories
- Quantum field theory of relic nonequilibrium systems
- Mechanism for the suppression of quantum noise at large scales on expanding space
- Robust predictions for the large-scale cosmological power deficit from primordial quantum nonequilibrium
- Relaxation to quantum equilibrium for Dirac fermions in the de Broglie-Bohm pilot-wave theory
- Quantum Cosmological Perturbations of Multiple Fluids
- Vortex interaction, chaos and quantum probabilities
- Modeling the large-scale power deficit with smooth and discontinuous primordial spectra
- Anomalous spectral lines and relic quantum nonequilibrium
- Extreme quantum nonequilibrium, nodes, vorticity, drift, and relaxation retarding states
- Perturbations and quantum relaxation
- Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation
- Mechanism for nonlocal information flow from black holes
- Quantum relaxation in a system of harmonic oscillators with time-dependent coupling