The open Heisenberg chain under boundary fields: a magnonic logic gate
arXiv:1501.07732 · doi:10.1103/PhysRevB.91.174422
Abstract
We study the spin transport in the quantum Heisenberg spin chain subject to boundary magnetic fields and driven out of equilibrium by Lindblad dissipators. An exact solution is given in terms of matrix product states, which allows us to calculate exactly the spin current for any chain size. It is found that the system undergoes a discontinuous spin-valve-like quantum phase transition from ballistic to sub-diffusive spin current, depending on the value of the boundary fields. Thus, the chain behaves as an extremely sensitive magnonic logic gate operating with the boundary fields as the base element.
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Cited by in corpus (7)
- Non-equilibrium quantum chains under multi-site Lindblad baths
- Microscopic theory of a non-equilibrium open bosonic chain
- Boundary driven Heisenberg-chain in the long-range interacting regime: Robustness against far from equilibrium effects
- One-way street for the energy current: A ubiquitous phenomenon in boundary-driven quantum spin chains
- Transport in boundary-driven quantum spin systems: One-way street for the energy current
- Some speculations about local thermalization of nonequilibrium extended quantum systems
- Dephasing enhanced transport in boundary-driven quasiperiodic chains