20–24 Jan 2025
University of Bern
Europe/Zurich timezone

Sign Problem Free Qubit Regularized Hamiltonian Lattice Gauge Theories

22 Jan 2025, 14:00
45m
Lecture Hall 099 (ExWi Building) (University of Bern)

Lecture Hall 099 (ExWi Building)

University of Bern

University of Bern Exakte Wissenschaften (ExWi) Sidlerstrasse 5 3012 Bern Switzerland

Speaker

Prof. Shailesh Chandrasekharan (Duke University)

Description

Qubit regularization may offer a new approach to Hamiltonian lattice gauge theories. If we insist on working with the Kogut Susskind Hamiltonian, one often encounters sign problems even in the pure gauge theory sector. However, since we are ultimately interested in quantum critical points where the form of the Hamiltonian should not play an important role, we can explore if alternate sign problem free Hamiltonians can be constructed that reproduce the desired critical points. Here we show we can construct simple sign problem free Hamiltonians and provide envidence that they contain some of the expected finite temperature confinement-deconfinement transitions in pure gauge theory in two and three spatial dimensions. We also show the existence of zero temperature transitions using an example of a Monte Carlo calculation in continuous Euclidean time in one spatial dimension.

Author

Prof. Shailesh Chandrasekharan (Duke University)

Presentation materials