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- W2750736044 endingPage "113105" @default.
- W2750736044 startingPage "113105" @default.
- W2750736044 abstract "We study the R'enyi entropies in the spin-$1/2$ anisotropic Heisenberg chain after a quantum quench starting from the N'eel state. The quench action method allows us to obtain the stationary R'enyi entropies for arbitrary values of the index $alpha$ as generalised free energies evaluated over a calculable thermodynamic macrostate depending on $alpha$. We work out this macrostate for several values of $alpha$ and of the anisotropy $Delta$ by solving the thermodynamic Bethe ansatz equations. By varying $alpha$ different regions of the Hamiltonian spectrum are accessed. The two extremes are $alphatoinfty$ for which the thermodynamic macrostate is either the ground state or a low-lying excited state (depending on $Delta$) and $alpha=0$ when the macrostate is the infinite temperature state. The R'enyi entropies are easily obtained from the macrostate as function of $alpha$ and a few interesting limits are analytically characterised. We provide robust numerical evidence to confirm our results using exact diagonalisation and a stochastic numerical implementation of Bethe ansatz. Finally, using tDMRG we calculate the time evolution of the R'enyi entanglement entropies. For large subsystems and for any $alpha$, their density turns out to be compatible with that of the thermodynamic R'enyi entropies" @default.
- W2750736044 created "2017-09-15" @default.
- W2750736044 creator A5056962089 @default.
- W2750736044 creator A5076249507 @default.
- W2750736044 date "2017-11-10" @default.
- W2750736044 modified "2023-10-04" @default.
- W2750736044 title "Rényi entropies after releasing the Néel state in the<i>XXZ</i>spin-chain" @default.
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