Detecting Emergent Continuous Symmetries at Quantum Criticality

Autor(en)

Mingru Yang, Bram Vanhecke, Norbert Schuch

Abstrakt

New or enlarged symmetries can emerge at the low-energy spectrum of a Hamiltonian that does not possess the symmetries, if the symmetry breaking terms in the Hamiltonian are irrelevant under the renormalization group flow. We propose a tensor network based algorithm to numerically extract lattice operator approximation of the emergent conserved currents from the ground state of any quantum spin chains, without the necessity to have prior knowledge about its low-energy effective field theory. Our results for the spin-1/2 J−Q Heisenberg chain and a one-dimensional version of the deconfined quantum critical points demonstrate the power of our method to obtain the emergent lattice Kac-Moody generators. It can also be viewed as a way to find the local integrals of motion of an integrable model and the local parent Hamiltonian of a critical gapless ground state.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation, Institut für Mathematik

Journal

Physical Review Letters

Band

131

Seiten

1-7

Anzahl der Seiten

7

ISSN

0031-9007

DOI

https://doi.org/10.48550/arXiv.2210.17539

Publikationsdatum

07-2023

Peer-reviewed

Ja

ÖFOS 2012

103015 Kondensierte Materie, 103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0d1f5106-9834-4500-9840-62f87a0cda7a