Universal Thermal Corrections to Symmetry-Resolved Entanglement Entropy and Full Counting Statistics

Abstract

We consider the symmetry-resolved Rényi 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 \textit{probability fluctuations} function. It scales as $e^{-2\pi {\Delta }_{\psi }\beta /L}$, where ${\Delta }_{\psi }$ 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.

6 pages, Added references

References in corpus (15)

• Quantum Noise as an Entanglement Meter
• A c-theorem for the entanglement entropy
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Spin-resolved entanglement spectroscopy of critical spin chains and Luttinger liquids
• Entanglement equipartition in critical random spin chains
• Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
• Charged Moments in $W_3$ Higher Spin Holography
• Symmetry-resolved entanglement in a long-range free-fermion chain
• Entanglement of the $3$-State Potts Model via Form Factor Bootstrap: Total and Symmetry Resolved Entropies
• Charged Rényi negativity of massless free bosons
• Equipartition of Entanglement in Quantum Hall States
• Symmetry-resolved entanglement entropy in critical free-fermion chains
• Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain
• String correlation functions of the spin-1/2 Heisenberg XXZ chain
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models