Non-equilibrium transport in one dimensional systems

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• Andrea de Luca (Oxford)
• Thursday 05 October 2017, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Mike Gunn.

I will discuss recent developments in the non-equilibrium time-evolution of interacting one dimensional models. In particular, I will analyse in detail the situation in which two integrable spin chains, initially prepared in different states are suddenly joined and evolved unitarily. Through dephasing, at late times, the system reaches a stationary state with a non-trivial dependence on space and time. Under the assumption of local equilibration, one can derive a hydrodynamic description of the system dynamics, which takes into account all the conserved quantities of the model and reproduces accurately the time-evolution. These equations admit simple exact solutions in some cases and can lead to intriguing behaviors in the steady-state, as the presence of steady spin currents, or the formation of magnetic domains.

This talk is part of the Theoretical Physics Seminars series.

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