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Status: Unchecked ×Keyword: quantum chaos ×Clear all

2 claims from 1 paper

1. Physics and Astronomy › Quantum many-body systems

   Exact dynamics in dual-unitary quantum circuits

   Piroli, Bertini, Cirac and Prosen · Physical review. B./Physical review. B · 2020

   The paper studies dual-unitary quantum circuits started from 'solvable' matrix product states, solving their dynamics exactly, including correlations, entanglement growth and a comparison with non-solvable mixed states.

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   1. UncheckedFor solvable initial states in dual-unitary circuits, any block of size ℓ reaches infinite temperature after a time proportional to ℓ, whatever the conserved quantities.“For these initial states, we show that while any subsystem of size $\ell$ reaches infinite temperature after a time $t\propto \ell$, irrespective of the presence of conserved quantities, the light-cone of two-point correlation functions displays qualitatively different features depending on the erg…”
   2. UncheckedThe authors classify 'solvable' matrix product states, finding they include some of arbitrary bond dimension, and analyse their dynamics analytically.“We provide a classification of the latter, showing that they include certain MPSs of arbitrary bond dimension, and study analytically different aspects of their dynamics.”