RT info:eu-repo/semantics/article
T1 Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits
A1 Capizzi, Luca
A1 Castro-Alvaredo, Olalla A.
A1 De Fazio, Cecilia
A1 Mazzoni, Michele
A1 Santamaría Sanz, Lucía
K1 Field theories in lower dimensions
K1 Global symmetries
K1 Integrable field theories
K1 Física
K1 Physics
AB The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess U(1) symmetry. The same formulae are found for simple qubit states.
PB Springer
YR 2022
FD 2022-12
LK http://hdl.handle.net/10259/10001
UL http://hdl.handle.net/10259/10001
LA eng
DS Repositorio Institucional de la Universidad de Burgos
RD 30-ene-2025