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- W4295693608 abstract "Quantum information theoretical measures are useful tools for characterizing quantum dynamical phases. However, employing them to study excited states of random spin systems is a challenging problem. Here, we report results for the entanglement entropy (EE) scaling of excited eigenstates of random XX antiferromagnetic spin chains with long-range (LR) interactions decaying as a power law with distance with exponent $alpha$. To this end, we extend the real-space renormalization group technique for excited states (RSRG-X) to solve this problem with LR interaction. For comparison, we perform numerical exact diagonalization (ED) calculations. From the distribution of energy level spacings, as obtained by ED for up to $Nsim 18$ spins, we find indications of a delocalization transition at $alpha_c approx 1$ in the middle of the energy spectrum. With RSRG-X and ED, we show that for $alpha>alpha^*$ the entanglement entropy (EE) of excited eigenstates retains a logarithmic divergence similar to the one observed for the ground state of the same model, while for $alpha<alpha^*$ EE displays an algebraic growth with the subsystem size $l$, $S_lsim l^{beta}$, with $0<beta<1$. We find that $alpha^* approx 1$ coincides with the delocalization transition $alpha_c$ in the middle of the many-body spectrum. An interpretation of these results based on the structure of the RG rules is proposed, which is due to {it rainbow} proliferation for very long-range interactions $alphall 1$. We also investigate the effective temperature dependence of the EE allowing us to study the half-chain entanglement entropy of eigenstates at different energy densities, where we find that the crossover in EE occurs at $alpha^* < 1$." @default.
- W4295693608 created "2022-09-14" @default.
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- W4295693608 date "2022-09-14" @default.
- W4295693608 modified "2023-10-04" @default.
- W4295693608 title "Excited-eigenstate entanglement properties of XX spin chains with random long-range interactions" @default.
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- W4295693608 doi "https://doi.org/10.1103/physrevb.106.104201" @default.
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