Macroscopic Superposition States in Isolated Quantum Systems
arXiv:2011.11661 · doi:10.1007/s10701-021-00477-2
Abstract
For any choice of initial state and weak assumptions about the Hamiltonian, large isolated quantum systems undergoing Schrodinger evolution spend most of their time in macroscopic superposition states. The result follows from von Neumann's 1929 Quantum Ergodic Theorem. As a specific example, we consider a box containing a solid ball and some gas molecules. Regardless of the initial state, the system will evolve into a quantum superposition of states with the ball in macroscopically different positions. Thus, despite their seeming fragility, macroscopic superposition states are ubiquitous consequences of quantum evolution. We discuss the connection to many worlds quantum mechanics.
arXiv commentversion to appear in Foundations of Physics
References in corpus (6)
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Alternatives to Eigenstate Thermalization
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem
- Generalization of von Neumann's Approach to Thermalization
- On the origin of probability in quantum mechanics