Resonant tunneling enhanced weak value amplification for solid-state quantum metrology

Quantum metrology employing weak-value amplification can effectuate parameter estimation with an ultra-high sensitivity and has been typically experimented across quantum optics setups. Modifying an ealier proposal for the spintronic Larmor clock [1], we propose an experiemntally viable solid-state spintronic platform to realize this paradigm. The setup estimates a very weak localized Zeeman field using highly sensitive resonant energy channels. The obtained signal offers high sensitivity even in the presence of dephasing effects endemic to solid state setups, indicating experimental viability. Using the quantum Fisher information (QFI) we establish that resonant tunneling energy channels are nearly optimal for the setup and have a QFI $10^4$ times that that of other channels capable of full transmission. These results demonstrate possibilities in harnessing the inherent sensitivity of resonant tunneling for quantum metrology in solid-state devices. Given the recent advancements in quantum materials, our setup can find uses in detection of valley Zeeman effects and Rashba coupling.

[1] A. Mathew, K. Camsari and B. Muralidharan, Phys Rev B, 105, 144418, (2022).