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QI: Fachverband Quanteninformation
QI 33: Quantum Materials and Many-Body Systems
QI 33.3: Vortrag
Donnerstag, 13. März 2025, 15:00–15:15, HS VIII
Quantum-critical interplay between continuous-symmetry breaking and topological order in the long-range interacting spin-one Heisenberg chain — •Patrick Adelhardt1,2, Sean R. Muleady2, Alexey V. Gorshkov2, and Kai P. Schmidt1 — 1Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany — 2Joint Quantum Institute and Joint Center for Quantum Information and Computer Science, University of Maryland and National Institute of Standards and Technology, College Park, Maryland, USA
Recent experiments with AMO quantum simulators have demonstrated continuous symmetry breaking (CSB) in low-dimensional systems with long-range interactions, circumventing the constraint imposed by the Mermin-Wagner theorem in their short-ranged counterparts. Simultaneously, these platforms have enabled the investigations of symmetry-protected topological (SPT) phases in one-dimensional spin systems. Motivated by these experimental developments, we study the quantum phase diagram of the spin-one Heisenberg chain with staggered long-range interactions and single-ion anisotropy using matrix product states (MPS) techniques. Our study reveals the emergence of a multicritical point at the intersection of the SPT phase and CSB phases. We investigate the critical behavior along the various phase boundaries and at the multicritical point extracting critical exponents and elucidating their quantum-critical properties.
Keywords: Quantum phase transition; Continuous symmetry breaking; matrix product states; symmetry protected topological order; Heisenberg model