The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.
citing papers explorer
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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Entanglement transitions in translation-invariant tensor networks
A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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Entanglement Growth from Structured Initial States in Many-Body Localized Systems
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.