We study the asymptotic behavior of the emptiness formation probability for large spin strings in a translation invariant quasifree nonequilibrium steady state of the isotropic XY chain. Besides the overall exponential decay, we prove that, out of equilibrium, the exponent of the subleading power law contribution to the asymptotics is nonvanishing and strictly positive due to the singularities in the density of the steady state.
@article{CML_2010__2_3_293_0,
author = {Walter H. Aschbacher},
title = {A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability},
journal = {Confluentes Mathematici},
pages = {293--311},
publisher = {World Scientific Publishing Co Pte Ltd},
volume = {2},
number = {3},
year = {2010},
doi = {10.1142/S1793744210000193},
language = {en},
url = {https://cml.centre-mersenne.org/articles/10.1142/S1793744210000193/}
}
TY - JOUR AU - Walter H. Aschbacher TI - A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability JO - Confluentes Mathematici PY - 2010 SP - 293 EP - 311 VL - 2 IS - 3 PB - World Scientific Publishing Co Pte Ltd UR - https://cml.centre-mersenne.org/articles/10.1142/S1793744210000193/ DO - 10.1142/S1793744210000193 LA - en ID - CML_2010__2_3_293_0 ER -
%0 Journal Article %A Walter H. Aschbacher %T A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability %J Confluentes Mathematici %D 2010 %P 293-311 %V 2 %N 3 %I World Scientific Publishing Co Pte Ltd %U https://cml.centre-mersenne.org/articles/10.1142/S1793744210000193/ %R 10.1142/S1793744210000193 %G en %F CML_2010__2_3_293_0
Walter H. Aschbacher. A remark on the subleading order in the asymptotics of the nonequilibrium emptiness formation probability. Confluentes Mathematici, Tome 2 (2010) no. 3, pp. 293-311. doi : 10.1142/S1793744210000193. https://cml.centre-mersenne.org/articles/10.1142/S1793744210000193/
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