The Universe from a Single Particle

Abstract

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.

Published in JHEP

References in corpus (4)

• Quantum Computation as Geometry
• Quantum Complexity and Negative Curvature
• A geometric approach to quantum circuit lower bounds
• The Universe from a Single Particle

Cited by in corpus (1)

• The Universe from a Single Particle