Beyond Energy: Teleporting Current, Charge, and More

TL;DR

This paper generalizes quantum energy teleportation to arbitrary observables, demonstrating long-range correlations and phase diagram reconstruction through feedback control in a quantum many-body system.

Contribution

It introduces a rigorous framework for teleporting various physical quantities beyond energy, with experimental proposals and novel insights into chiral dynamics.

Findings

Long-range correlations created after local control operations

Charge susceptibility reconstructs the phase diagram

Activation of chiral dynamics via feedback control

Abstract

As an homage to Quantum Energy Teleportation, we generalize the idea to arbitrary physical observables, not limited to energy, and prove a rigorous upper bound on the activated ("teleported") quantity. The essence of this protocol is a quantum feedback control with respect to the entangled ground state of a quantum many-body system. To demonstrate the concept, we explore a (1+1)-dimensional chiral Dirac system and execute the protocol for the electric current and charge. One of the most significant results is the creation of long-range correlations across the system after applying control operations only to one local site. Consequently but surprisingly, the induced charge susceptibility fully reconstructs the phase diagram, despite the model initially having no charge. Moreover, we find an activation of novel chiral dynamics induced by feedback control operations, which can be experimentally confirmed using trapped ions and neutral atoms.