SKM 2023 – wissenschaftliches Programm
DY 9.11: Vortrag
Montag, 27. März 2023, 16:45–17:00, MOL 213
Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models — •Raúl Morral1, Frank Pollmann1,3, and Izabella Lovas1,2 — 1Department of Physics, TFK, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany — 2Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, USA — 3Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 München, Germany
We study measurement-induced symmetry protected topological (SPT) order in a wide class of quantum random circuit models, by combining calculations within the stabilizer formalism with tensor network simulations. We construct a family of quantum random circuits, generating the out-of-equilibrium version of all generalized cluster models, and derive a set of non-local string order parameters to distinguish symmetry protected topological phases. We apply this framework to study the random circuit realization of the XZX cluster model, and use the string order parameter to demonstrate that the phase diagram is strikingly stable against extending the class of unitary gates in the circuit, from Clifford gates to Haar unitaries. We then turn to the XZZX generalized cluster model, and demonstrate the coexistence of SPT order and spontaneous symmetry breaking, by relying on string order parameters and a connected correlation function. Our results pave the way to study the properties of a wide range SPT phases in quantum random circuit models with efficient tensor network methods.