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Title:
Emergent eigenstate solution to quantum dynamics far from equilibrium
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Abstract:
The quantum dynamics of interacting many-body systems has become a unique venue for the realization of novel states of matter. In this talk, 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. Surprisingly, the melting of the Mott domain is accompanied by an effective cooling of the system. We explain this phenomenon analytically using the equilibrium description provided by the emergent local Hamiltonian.
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