Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session Z53: Quantum Foundations and Information II
11:30 AM–1:54 PM,
Friday, March 8, 2024
Room: 202AB
Sponsoring
Unit:
DQI
Chair: Margaret Reid, Swinburne University of Tech
Abstract: Z53.00005 : Quantum mereology, reading the structure of the universe from its spectrum.
12:18 PM–12:30 PM
Presenter:
Nicolas Loizeau
(New York University (NYU))
Authors:
Nicolas Loizeau
(New York University (NYU))
Dries Sels
(NYU)
Flaviano Morone
(NYU)
A quantum Hamiltonian encodes a spectrum and a preferred basis, i.e a preferred tensor structure that gives a natural decomposition of the system into independent smaller subsystems. Quantum mechanics is independent of the basis, so arguably the spectrum is the most fundamental object.
This raises the question : given the spectrum of a system, can we recover its preferred tensor structure? We present a procedure to do quantum mereology i.e to identify a hierarchical decomposition into subsystems from a spectrum. We use this procedure to suggest a possible mechanism for the emergence of geometric locality and classicality from quantum mechanics itself.
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