Kavli Affiliate: Hirosi Ooguri
| First 5 Authors: Yuya Kusuki, Sara Murciano, Hirosi Ooguri, Sridip Pal,
| Summary:
A state in a quantum system with a given global symmetry, $G$, can be
sensitive to the presence of boundaries, which may either preserve or break
this symmetry. In this work, we investigate how conformal invariant boundary
conditions influence the $G-$symmetry breaking through the lens of the
entanglement asymmetry, a quantifier of the "distance" between a
symmetry-broken state and its symmetrized counterpart. By leveraging 2D
boundary conformal field theory (BCFT), we investigate the symmetry breaking
for both finite and compact Lie groups. Beyond the leading order term, we also
compute the subleading corrections in the subsystem size, highlighting their
dependence on the symmetry group $G$ and the BCFT operator content. We further
explore the entanglement asymmetry following a global quantum quench, where a
symmetry-broken state evolves under a symmetry-restoring Hamiltonian. In this
dynamical setting, we compute the entanglement asymmetry by extending the
method of images to a BCFT with non-local objects such as invertible symmetry
defects.
| Search Query: ArXiv Query: search_query=au:”Hirosi Ooguri”&id_list=&start=0&max_results=3