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- W3100102472 abstract "The Ising chains in a transverse magnetic field of constant strength (h=1) and with the spin interaction value lambda are considered. In the case of infinitely long chain, exact analytical expressions are found for the second central moment (dispersion) of the entropy operator S^hat=-lnrho with reduced density matrix rho which corresponds to a semi-infinite part of the model in the ground state. It is shown that in the vicinity of a critical point lambda_c=1, the entanglement entropy fluctuation Delta S (square root of dispersion) diverges as Delts Ssim[ln(1/|1-lambda|)]^{1/2}. Taking into account the known behavior of the entanglement entropy S, this leads to that the value of relative entanglement fluctuation delta S=(Delta S)/S vanishes at the critical point, i.e. in fact a state with nonfluctuating entanglement is realized." @default.
- W3100102472 created "2020-11-23" @default.
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- W3100102472 date "2010-10-01" @default.
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- W3100102472 title "Entanglement entropy fluctuations in quantum Ising chains" @default.
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- W3100102472 doi "https://doi.org/10.1134/s1063776110100018" @default.
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