Thermal correction to entanglement spectrum for conformal field theories

A bstract We calculate the thermal correction to entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is direct extension Rényi entropy. Within low-temperature expansion by including only first excited state in density matrix, we approach analytical results at both small and large limit. find temperature reduces eigenvalues while increases spectrum, leading an overall crossover changing pattern spectrum. Crucially, limit, corrections are dominated depend on its scaling dimension ? degeneracy g . This opens avenue extract universal information underlying data via All these computation supported from numerical simulations using 1+1 free fermion. Finally, extend our calculation resolve symmetry-resolved