A REMARK ON THE SUBLEADING ORDER IN THE ASYMPTOTICS OF THE NONEQUILIBRIUM EMPTINESS FORMATION PROBABILITY

Confluentes Mathematici

ASCHBACHER, WALTER H¹ 

[1] Ecole Polytechnique, Centre de Mathématiques Appliquées, UMR CNRS 7641, 91128 Palaiseau Cedex, France

关键词: Nonequilibrium steady state;    emptiness formation probability;    Toeplitz theory;   

DOI  :  10.1142/S1793744210000193

学科分类：数学（综合）

来源: World Scientific Publishing Co. Pte. Ltd.

【 摘 要 】

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.

【 授权许可】

Unknown