Irreducible tripartite entanglement in free-fermion chains saturates on a slow t~L^2 timescale and its Markov gap value tracks the number of 'essential tripartite fermions' defined via a null matrix.
Tripartite entanglement dynamics follow- ing a quantum quench
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abstract
We investigate the dynamics of multipartite entanglement after quenches from initial states which generate multiplets of quasiparticle excitations beyond the usual pair structure. We focus on the dynamics of tripartite entanglement through the lens of the Markov gap -- a computable quantity that signals irreducible tripartite entanglement when positive. In the XX spin chain, we show that the Markov gap is positive at intermediate times, implying the presence of tripartite entanglement. After a time delay, the Markov gap increases and then decays at longer times, thus exhibiting an entanglement barrier. We argue that those qualitative features are consistent with an interpretation of the spreading of tripartite entanglement by triplets of tripartite-entangled quasiparticles.
representative citing papers
Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.
citing papers explorer
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Operational meaning of Markov gap in tripartite entanglement of quantum dynamics
Irreducible tripartite entanglement in free-fermion chains saturates on a slow t~L^2 timescale and its Markov gap value tracks the number of 'essential tripartite fermions' defined via a null matrix.
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Genuine multientropy, dihedral invariants and Lifshitz theory
Authors derive genuine multientropy for Lifshitz states as mutual information plus negativity, obtain its non-integer Rényi continuation, and prove dihedral invariants equal Rényi reflected entropies for general tripartite pure states.