University of Birmingham > Talks@bham > Theoretical Physics Seminars > Many-body adiabatic theorems

Many-body adiabatic theorems

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Note: rescheduled for usual time

In standard quantum mechanics, an adiabatic theorem follows from a spectral gap (or, alternatively, some smoothness assumptions). In many-body theory, it turns out that the adiabatic theorem does not automatically derive from a spectral gap assumption and I will describe how one can state and prove an appropriate adiabatic theorem. Furthermore, I ask whether one actually needs a global spectral gap or whether it can be replaced by a local one, in a well-defined sense. The answer turns out to be that a local gap is sufficient and I elaborate on this point, leading to a certain type of prethermalization result. This result is then related to some recent work and to the occurrence of fractional transport in Floquet systems. This is based on joint work with Sven Bachmann, Martin Fraas and Wen Wei Ho.‚Äč

This talk is part of the Theoretical Physics Seminars series.

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