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 …
remains elusive. This is largely due to the puzzling nature of the wave function, the central …
Chaos, complexity, and random matrices
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 …
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 …
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 …
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 …
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 …
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 …
region. For certain classes of quantum states in an appropriately factorized Hilbert space, a …
Correlators in the supersymmetric SYK model
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 …
supersymmetric SYK model. The leading order 4-point correlation functions are computed …
Many-body quantum dynamics slows down at low density
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 …
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 …
quantum mechanics. The expectation value of the Hamiltonian of a system changes when …