The Universe from a Single Particle

We explore the emergence of many-body physics from quantum mechanics via spontaneous symmetry breaking. To this end, we study potentials which are functionals on the space of Hamiltonians enjoying an unstable critical point corresponding to a random quantum mechanical system (the Gaussian unitary en...

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Bibliographic Details
Published in:arXiv.org 2021-01
Main Authors: Freedman, Michael, Modjtaba Shokrian Zini
Format: Article
Language:English
Subjects:
Broken symmetry
Critical point
Hamiltonian functions
Mechanical systems
Quantum mechanics
Online Access:Get full text
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Summary:We explore the emergence of many-body physics from quantum mechanics via spontaneous symmetry breaking. To this end, we study potentials which are functionals on the space of Hamiltonians enjoying an unstable critical point corresponding to a random quantum mechanical system (the Gaussian unitary ensemble), but also less symmetrical local minima corresponding to interacting systems at the level of operators.
ISSN:2331-8422
DOI:10.48550/arxiv.2011.05917