Realism about the wave function

EK Chen - Philosophy compass, 2019 - Wiley Online Library
A century after the discovery of quantum mechanics, the meaning of quantum mechanics still
remains elusive. This is largely due to the puzzling nature of the wave function, the central …

Chaos, complexity, and random matrices

J Cotler, N Hunter-Jones, J Liu, B Yoshida - Journal of High Energy …, 2017 - Springer
A bstract Chaos and complexity entail an entropic and computational obstruction to
describing a system, and thus are intrinsically difficult to characterize. In this paper, we …

Reality as a vector in Hilbert space

SM Carroll - … Naturalizing quantum theory between scientific realism …, 2022 - Springer
I defend the extremist position that the fundamental ontology of the world consists of a vector
in Hilbert space evolving according to the Schrödinger equation. The laws of physics are …

Quantum mereology: Factorizing Hilbert space into subsystems with quasiclassical dynamics

SM Carroll, A Singh - Physical Review A, 2021 - APS
We study the question of how to decompose Hilbert space into a preferred tensor-product
factorization without any preexisting structure other than a Hamiltonian operator, in particular …

Operator size at finite temperature and Planckian bounds on quantum dynamics

A Lucas - Physical review letters, 2019 - APS
It has long been believed that dissipative timescales τ obey a “Planckian” bound τ≳(ℏ/k BT)
in strongly coupled quantum systems. Despite much circumstantial evidence, however, there …

Mad-dog everettianism: Quantum mechanics at its most minimal

SM Carroll, A Singh - What is fundamental?, 2019 - Springer
To the best of our current understanding, quantum mechanics is part of the most
fundamental picture of the universe. It is natural to ask how pure and minimal this …

Bulk entanglement gravity without a boundary: Towards finding Einstein's equation in Hilbert space

CJ Cao, SM Carroll - Physical Review D, 2018 - APS
We consider the emergence from quantum entanglement of spacetime geometry in a bulk
region. For certain classes of quantum states in an appropriately factorized Hilbert space, a …

Correlators in the supersymmetric SYK model

C Peng, M Spradlin, A Volovich - Journal of High Energy Physics, 2017 - Springer
A bstract We study correlation functions in the one-dimensional\(\mathcal {N}= 2\)
supersymmetric SYK model. The leading order 4-point correlation functions are computed …

Many-body quantum dynamics slows down at low density

X Chen, Y Gu, A Lucas - SciPost Physics, 2020 - scipost.org
We study quantum many-body systems with a global U (1) conservation law, focusing on a
theory of $ N $ interacting fermions with charge conservation, or $ N $ interacting spins with …

Energy non-conservation in quantum mechanics

SM Carroll, J Lodman - Foundations of Physics, 2021 - Springer
We study the conservation of energy, or lack thereof, when measurements are performed in
quantum mechanics. The expectation value of the Hamiltonian of a system changes when …