Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems

TL;DR

This paper investigates how to control and switch between diffusive and ballistic transport in low-dimensional quantum spin systems by tuning Hamiltonian parameters and applying quantum control methods.

Contribution

It introduces schemes for controlling transport behavior in spin-1/2 Heisenberg systems, including inducing transitions from diffusive to ballistic transport.

Findings

Chaotic systems can exhibit diffusive or ballistic transport.

Quantum control methods can induce a transition from diffusive to ballistic transport.

Adjusting Hamiltonian parameters influences transport regimes.

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.