Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 3 of 3
Full-Text Articles in Physics
An Exactly Solvable Quench Protocol For Integrable Spin Models, Diptarka Das, Sumit R. Das, Damián A. Galante, Robert C. Myers, Krishnendu Sengupta
An Exactly Solvable Quench Protocol For Integrable Spin Models, Diptarka Das, Sumit R. Das, Damián A. Galante, Robert C. Myers, Krishnendu Sengupta
Physics and Astronomy Faculty Publications
Quantum quenches in continuum field theory across critical points are known to display different scaling behaviours in different regimes of the quench rate. We extend these results to integrable lattice models such as the transverse field Ising model on a one-dimensional chain and the Kitaev model on a two-dimensional honeycomb lattice using a nonlinear quench protocol which allows for exact analytical solutions of the dynamics. Our quench protocol starts with a finite mass gap at early times and crosses a critical point or a critical region, and we study the behaviour of one point functions of the quenched operator at …
Entanglement Entropy With Background Gauge Fields, Bom Soo Kim
Entanglement Entropy With Background Gauge Fields, Bom Soo Kim
Physics and Astronomy Faculty Publications
We study the entanglement entropy, the Rényi entropy, and the mutual (Rényi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859. Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist …
Elliptic Genera Of 2d (0,2) Gauge Theories From Brane Brick Models, Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong
Elliptic Genera Of 2d (0,2) Gauge Theories From Brane Brick Models, Sebastian Franco, Dongwook Ghim, Sangmin Lee, Rak-Kyeong Seong
Publications and Research
We compute the elliptic genus of abelian 2d (0, 2) gauge theories corresponding to brane brick models. These theories are worldvolume theories on a single D1-brane probing a toric Calabi-Yau 4-fold singularity. We identify a match with the elliptic genus of the non-linear sigma model on the same Calabi-Yau background, which is computed using a new localization formula. The matching implies that the quantum effects do not drastically alter the correspondence between the geometry and the 2d (0, 2) gauge theory. In theories whose matter sector suffers from abelian gauge anomaly, we propose an ansatz for an anomaly …