Grad Student Seminar with Jacob Barnett
APA
Barnett, J. (2023). Grad Student Seminar with Jacob Barnett. Perimeter Institute. https://pirsa.org/23040152
MLA
Barnett, Jacob. Grad Student Seminar with Jacob Barnett. Perimeter Institute, Apr. 17, 2023, https://pirsa.org/23040152
BibTex
@misc{ pirsa_PIRSA:23040152, doi = {10.48660/23040152}, url = {https://pirsa.org/23040152}, author = {Barnett, Jacob}, keywords = {Other}, language = {en}, title = {Grad Student Seminar with Jacob Barnett}, publisher = {Perimeter Institute}, year = {2023}, month = {apr}, note = {PIRSA:23040152 see, \url{https://pirsa.org}} }
Jacob Barnett, Perimeter Institute
Locality and Exceptional Points in Pseudo-Hermitian Physics
This talk discusses the role of non-Hermitian operators in fundamental and effective theories of physics. An implicit assumption of the tensor product model of locality is that the inner product factorizes with the tensor product. Quasi-Hermitian quantum frameworks can be used to lift this assumption while preserving the reality of spectra and unitarity. After characterizing local observable algebras and expectation values, I will examine Bell's inequality and its generalizations, the nonlocal games, in the setting of quasi-Hermitian theories. Pseudo-Hermitian operators characterize systems with time-reversal symmetry. These operators exhibit rich perturbative and symmetry-breaking properties that are unparalleled in the Hermitian regime. I will convey some geometric and topological aspects of these features, with emphasis placed on non-interacting many-body systems.