TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.19.5.119
TI  - Rényi entropies for one-dimensional quantum systems with mixed boundary conditions
PY  - 2025/11/06
UR  - https://www.scipost.org/SciPostPhys.19.5.119
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 19
IS  - 5
SP  - 119
A1  - Estienne, Benoit
AU  - Ikhlef, Yacine
AU  - Rotaru, Andrei
AB  - We present a general method for calculating Rényi entropies in the ground state of a one-dimensional critical system with mixed open boundaries, for an interval starting at one of its ends. Technically, we consider the case when the boundary operator implementing the change of boundary conditions is degenerate under the Virasoro algebra. By exploiting the null-vectors conditions, we derive the ordinary differential equations that govern the scaling functions associated to the entropies. In particular, we provide an explicit formula for the second Rényi entropy. Additionally, we identify and compute the leading finite-size corrections to compare our theoretical results with numerical data for the Ising and three-state Potts critical chains.
ER  -

@Article{10.21468/SciPostPhys.19.5.119,
	title={{Rényi entropies for one-dimensional quantum systems with mixed boundary conditions}},
	author={Benoit Estienne and Yacine Ikhlef and Andrei Rotaru},
	journal={SciPost Phys.},
	volume={19},
	pages={119},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.19.5.119},
	url={https://scipost.org/10.21468/SciPostPhys.19.5.119},
}