Oral: Exponential acceleration of collective quantum tunneling in the transverse field Ising model using high frequency AC drives - Part 2*

In this talk, we numerically explore the acceleration of macroscopic quan-

tum tunneling (MQT) in transverse field Ising models through the use of high

frequency AC drives. Using time evolved block decimation in 1d, and full state

simulation methods in 2d, we identify a parameter space where the scaling of

the tunneling rate crosses over from exponential to linear in N . This scaling is

achieved through the application of a high-frequency drive where the amplitude

and frequency both increase logarithmically in system size. We demonstrate

robust sinusoidal “cat-state” oscillations between the two dressed ferromagnetic

ground states, that heating can be minimized, and that long ranged ferromag-

netic order may persist in this regime. Further, we estimate that using suitable

error mitigation techniques (e.g. Nature 618, 500 (2023)), this effect should be

testable at the 100+ qubit scale using present or near-term quantum computers.

These results thus present a challenge of genuine scientific interest for NISQ-era

quantum hardware.