Exact Density Profile and Current Fluctuations in a Tight-Binding Chain with Dephasing Noise

This lecture by Tomohiro Sasamoto from Tokyo Institute of Technology explores exact density profiles and current fluctuations in tight-binding chains with dephasing noise. Discover how the Gorini-Kossakowski-Sudarhan-Lindblad (GKSL) equation describes the time evolution of these systems, and learn about the connection between this model and the Hubbard model with imaginary coupling. Follow along as Sasamoto presents exact solutions for the density profile and current variance on an infinite line using contour integral formulas derived from Bethe ansatz techniques. The presentation, part of Harvard CMSA's Program on Classical, quantum, and probabilistic integrable systems, includes insights from collaborations with Taiki Ishiyama and Kazuya Fujimoto.