Quantum matter outside equilibrium- an update

In the first part of this talk, I will describe what has kept me and my collaborators busyover the past year. My goal here is to keep you - the local community - up to date onwhat we have been doing and foster discussions and collaborations. In the secondpart of the talk, I will focus on one of the ongoing scientific projects that is part ofMiguel Oliveira’s Ph.D. thesis.

In this work, we ask what is the fate of a Mott insulatorwhen a bias voltage, \delta\mu, is applied across the system. Our goal is to understandwhat kinds of non-equilibrium phases are realized as the voltage increases and what isthe nature of the non-equilibrium quantum phase transitions between them.

Weconsider a model system consisting of a half-filled t-V chain coupled to leads, thatfeatures spineless fermions with nearest neighbor interactions and where both theequilibrium (\delta\mu=0) and the Markovian (\delta\mu\to\infty) limits are known. Iwill describe our progress and the challenges we have been facing.