@inproceedings {738, title = {Entanglement spectrum and entropy of the 1D quantum q-state clock model via exact diagonalization and density matrix renormalization group}, booktitle = {Proceedings of the 44th Samahang Pisika ng Pilipinas Physics Conference}, year = {2026}, month = {17-20 Jun 2026}, pages = {SPP-2026-PC-02}, address = {Los Ba{\~n}os}, abstract = {This work studies the entanglement spectrum and R{\'e}nyi entropy of the one-dimensional quantum q-state clock model for q = 2 to q = 6 using exact diagonalization (ED) and the density matrix renormalization group (DMRG), implemented with the conserved modular charge k for symmetry resolution. For all q values, the entanglement spectra display a mapping between sectors labeled by k and q-k, with the ground state of the entanglement Hamiltonian consistently located in the neutral-charge sector k = 0. Furthermore, the R{\'e}nyi entropy follows an ordered structure Sα(k = 0) < Sα(k=1,q-1) < ..., with the largest entropy contributions occurring at k = q/2 for even q and k = (q {\textpm} 1)/2 for odd q. These results suggest an effectively local entanglement Hamiltonian consistent with the Bisognano{\textendash}Wichmann theorem and the area law, despite the global Zq symmetry.}, url = {https://proceedings.spp-online.org/article/view/SPP-2026-PC-02}, author = {Winonna Kylie C. Chua and Noel M. Lamsen} }