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Transport control in low-dimensional spin-1∕2Heisenberg systems

2008/05/31 by Lea F. Santos, L. F. Santos · 22 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Antiferromagnetism #Artificial intelligence #Chaotic #Computer science #Condensed matter physics #Heisenberg model #Integrable system #Magnetization #Materials science #Mathematical physics #Physics #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreve.78.031125

published in Physical Review E 78(3), 031125 (American Physical Society) · 8 pages, 5 figures

openalex publication_date 2008/09/19 · arxiv created 2008/10/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We analyze transport of local magnetization and develop schemes to control transport behavior in finite spin-1/2 Heisenberg chains and spin-1/2 Heisenberg two-leg ladders at zero temperature. By adjusting parameters in the Hamiltonians, these quantum systems may show both integrable and chaotic limits. We provide examples of chaotic systems leading to diffusive and to ballistic transport. In addition, methods of coherent quantum control to induce a transition from diffusive to ballistic transport are proposed.

Citations