Dresden 2026 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 75: Many-body Quantum Dynamics I (joint session DY/TT)
TT 75.10: Talk
Thursday, March 12, 2026, 12:00–12:15, HÜL/S186
Simulating universal long-time dynamics in integrable quantum spin chains — •Angelo Valli1, Catalin Pascu Moca2, Miklos Antal Werner3, Marton Kormos1, Doru Sticlet6, Balazs Dora1, Ziga Krajnik4, Tomaz Prosen5, and Gergely Zarand1 — 1Budapest University of Technology and Economics, Budapest (Hungary) — 2University of Oradea, Oradea (Romania) — 3Wigner Research Centre for Physics, Budapest (Hungary) — 4New York University, New York (USA) — 5University of Ljubljana, Ljubljana (Slovenia) — 6National Institute for R&D of Isotopic and Molecular Technologies, Cluj-Napoca (Romania)
We introduce a novel tensor-network approach to calculate cumulants of the full counting statistics to unprecedentedly long times. We investigate spin-transfer in quantum spin chains, where the superdiffusive transport with dynamical exponent z=3/2 has been conjectured to fall within the Kardar-Parisi-Zhang (KPZ) universality class of classical interface growth. Recent experimental evidence on quantum simulators challenged this hypothesis. Our results extend far beyond the experimental timescales and provide unambiguous evidence that spin transfer in integrable quantum spin chains is indeed incompatible with KPZ universality. However, spatio-temporal fluctuations of the spin analogue of surface roughness exhibit a self-similar Family-Vicsek (FV) scaling, relating roughness, growth, and dynamical exponents in all transport regimes and across models with SU(N) symmetry. Our results shed light on how classical universal scaling laws extend to the quantum many-body realm.
Keywords: Kardar-Parisi-Zhang; Family-Vicsek; Quantum Spin Chains; Superdiffusion; Full Counting Statistics