Coexistence of diffusive and ballistic transport in a simple spin ladder

Abstract

We show that in a nonintegrable spin ladder system with the XX type of coupling along the legs and the XXZ type along the rungs there are invariant subspaces that support ballistic magnetization transport. In the complementary subspace the transport is found to be diffusive. This shows that (i) quantum chaotic systems can possess ballistic subspaces, and (ii) diffusive and ballistic transport modes can coexist in a rather simple nonintegrable model. In the limit of an infinite anisotropy in rungs the system studied is equivalent to the one-dimensional Hubbard model.

5 pages, 4 figures

References in corpus (8)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• An Open-System Quantum Simulator with Trapped Ions
• Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
• Conservation laws, integrability and transport in one-dimensional quantum systems
• Heat conduction in low-dimensional quantum magnets
• Diffusive high-temperature transport in the one-dimensional Hubbard model
• Thermal transport in one-dimensional spin gap systems
• Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag

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