“School of Particles”
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Paper IPM / Particles / 17020  


Abstract:  
In the presence of a global symmetry, the entanglement entropy of a quantum system can be decomposed among the individual symmetry sectors, dubbed symmetryresolved entanglement entropy. For a conformal field theory with Abelian symmetry, it obeys the equipartition theorem in the scaling limit, i.e., at the leading order, the entanglement is distributed equally between different symmetry sectors. In this work, we examine the thermal corrections to a single interval symmetryresolved RÃ©nyi and entanglement entropies for twodimensional conformal field theories on a circle. Using a lowtemperature expansion of the thermal density matrix, we find that in addition to the mass gap and the degeneracy of the first excited state, these universal corrections depend also on the fourpoint correlation function of the primary fields. We also obtain thermal corrections to the full counting statistics of the ground state and define the probability fluctuations function which scales as eâ2ÏÎÏÎ²/L, where âÏ is the scaling dimension of the lowest weight states. As an example, we explicitly evaluate the thermal corrections to the symmetryresolved entanglement entropy and FCS for the spinless fermions and find a term breaking entanglement equipartition at order (log l)â2.
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