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Quantum Chemistry

Macroscopic Superposition States in Isolated Quantum Systems

arXiv

Authors: Roman V. Buniy, Stephen D. H. Hsu

Year

2020

Paper ID

19059

Status

Preprint

Abstract Read

~2 min

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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.

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.11661 [2] arXiv https://arxiv.org/abs/2011.11661 [3] Publisher https://arxiv.org/abs/2011.11661

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