- Open Access
Characterizing the U.S. graduate-level quantum curriculum: Insights into doctoral programs’ coursework and comparisons with undergraduate preparation
Phys. Rev. Phys. Educ. Res. 22, 020136 – Published 25 September, 2026
DOI: https://doi.org/10.1103/1ww9-cf72
Abstract
The completion of graduate-level coursework is an important milestone on the path to a doctoral degree in physics. Yet the structure and content of the graduate curricula remain largely undocumented. Here we provide the first national-scale analysis of the graduate-level quantum curriculum, drawing on catalogs from 184 institutions, 121 core quantum course syllabi, and 91 quantum field theory (QFT) course syllabi. Our results reveal the majority of graduate programs require two quantum courses (60.3%) and most commonly use Sakurai’s Modern Quantum Mechanics textbook (41.2%). Core quantum syllabi converged on four canonical topics: kinematics, angular momentum, approximations, and dynamics. While QFT may be considered advanced coursework that is not necessary for all research fields, it remains essential for describing relativistic and multiparticle systems, yet it is nearly absent from the physics education research (PER) literature. We found that 39% of graduate programs had no formal QFT course offering. Statistical analyses revealed that smaller graduate programs with less research activity were more likely not to offer a QFT course, raising concerns about equity and access. Among institutions that did offer QFT courses, a canonical set of topics emerged: interacting fields, Feynman diagrams, quantum electrodynamics, and radiative corrections. We provide comparisons to the undergraduate quantum curriculum, as well as recommendations to instructors and programs.
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