Quantum transport and spin dynamics on shearless tori

TL;DR

This paper explores how shearless tori in classical phase space can be utilized for quantum information transfer, demonstrating non-dispersive wavepacket transmission in a driven Harper map model derived from a quantum spin chain.

Contribution

It reveals that shearless tori enable non-dispersive quantum state transfer and connects classical phase-space structures to quantum dynamics in a driven spin chain system.

Findings

Shearless tori allow non-dispersive wavepacket transmission.

The driven Harper model exhibits shearless tori suitable for quantum state transfer.

Concurrence behavior indicates effective quantum information transfer.

Abstract

We investigate for quantum dynamics in phase-space regions containing ``shearless tori''. We show that the properties of these peculiar classical phase-space structures -- important to the dynamics of tokamaks -- may be exploited for quantum information applications. In particular we show that shearless tori permit the non-dispersive transmission of localized wavepackets. The quantum many-body Hamiltonian of a Heisenberg ferromagnetic spin chain, subjected to an oscillating magnetic field, can be reduced to a classical one-body ``image'' dynamical system which is the well-studied Harper map. The Harper map belongs to a class of Hamiltonian systems (non-twist maps) which contain shearless tori. We show that a variant with sinusoidal time driving ``driven Harper model'' produces shearless tori which are especially suitable for quantum state transfer. The behavior of the concurrence is investigated as an example.