Quantum spin transistor with a Heisenberg spin chain

TL;DR

This paper introduces a quantum spin transistor based on a Heisenberg XXZ spin chain, enabling conditional quantum state transfer or blockade, with a proposed realization using cold atomic ensembles.

Contribution

It presents a novel scheme for a quantum spin transistor utilizing a Heisenberg XXZ spin chain with a practical cold atom implementation.

Findings

Achieves perfect state transfer or blockade depending on control spin excitation

Proposes a feasible cold atom realization of the spin chain

Demonstrates potential for quantum information processing

Abstract

We propose and analyze a scheme for conditional state transfer in a Heisenberg $XXZ$ spin chain which realizes a quantum spin transistor. In our scheme, the absence or presence of a control spin excitation in the central gate part of the spin chain results in either perfect transfer of an arbitrary state of a target spin between the weakly coupled input and output ports, or its complete blockade at the input port. We also present a possible realization of the corresponding spin chain with a one-dimensional ensemble of cold atoms with strong contact interactions.