Universal thermal corrections to symmetry-resolved entanglement entropy and full counting statistics

DOI10.1007/JHEP05(2023)209arXiv2203.06708MaRDI QIDQ6163221

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Publication date: 26 June 2023

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Abstract: We consider the symmetry-resolved R'{e}nyi and entanglement entropies for two-dimensional conformal field theories on a circle at nonzero temperature. We assume a unique ground state with a nonzero mass gap induced by the system's finite size and then calculate the leading corrections to the contributions of individual charge sectors in a low-temperature expansion. Besides the size of the mass gap and the degeneracy of the first excited state, these universal corrections depend only on the four-point correlation function of the primary fields. We also obtain thermal corrections to the full counting statistics of the ground state and define the extit{probability fluctuations} function. It scales as $$, where $Delt{a}_{psi}$ is the scaling dimension of the lowest weight states. As an example, we explicitly evaluate the thermal corrections to the symmetry-resolved entanglement entropy and FCS for the spinless fermions.

Full work available at URL: https://arxiv.org/abs/2203.06708

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