Exact results for nonlinear Drude weights in the spin-12 XXZ chain

2021/03/31 by Yuhi Tanikawa, Kazuaki Takasan, Hosho Katsura
Physics and Astronomy · #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Mathematical physics #Nonlinear system #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Strong Light-Matter Interactions #Thermodynamics #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.103.l201120

published as Phys. Rev. B 103, L201120 (2021) · 6+15 pages, 2+2 figures

openalex created_date 2021/03/15 · arxiv created 2021/05/27 · openalex publication_date 2021/05/27 · arxiv updated 2021/07/13 · openalex updated_date 2026/08/06

Abstract

While the linear Drude weight in quantum many-body systems has been studied extensively, its nonlinear counterparts -- called nonlinear Drude weights (NLDWs) -- remain largely unexplored. Here, the authors present the first exact results for the NLDWs of the spin-(1)/(2) XXZ chain, a paradigmatic quantum many-body system. Their exact results based on the Bethe ansatz reveal that the NLDWs diverge with the system size in certain parameter regions. Also, the analytical expressions for the NLDWs are obtained when they converge.

Citations

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