Duncan Campbell (Carnegie Mellon)
Thu, 23 May 2019, 11:00
"A short story of non-thermal fixed points"
Christian-Marcel Schmied
Thu, 23 May 2019, 13:00

Emergent eigenstate solution to quantum dynamics far from equilibrium

Marcos Rigol , Penn State University
The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. We discuss how it can lead to the generation of time-evolving states that are eigenstates of emergent local Hamiltonians, not trivially related to the ones dictating the time evolution. We study geometric quenches in fermionic and bosonic systems in one-dimensional lattices, and provide examples of experimentally relevant time-evolving states that are either ground states or highly excited eigenstates of emergent local Hamiltonians. We also discuss the expansion of Mott insulating domains at finite temperature, which can be described by constructing Gibbs ensembles of the emergent local Hamiltonians (emergent Gibbs ensembles). Surprisingly, the melting of Mott domains is accompanied by an effective cooling of the system, as reflected by an increasing correlation length. We explain this phenomenon analytically using the equilibrium description provided by the emergent Gibbs ensemble.
27 May 2019, 12:00
Institut für Theoretische Physik, INF

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