RT Journal Article
T1 Critical quantum metrology in fully-connected models: From Heisenberg to Kibble-Zurek scaling
A1 Garbe, Louis
A1 Abah, Obinna
A1 Felicetti, Simone
A1 Puebla Antunes, Ricardo
AB Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum mechanics, in the limit of large probe number and long measurement time. Due to the critical slowing down, the protocol duration time is of utmost relevance in critical quantum metrology. However, how the long-time limit is reached remains in general an open question. So far, only two dichotomic approaches have been considered, based on either static or dynamical properties of critical quantum systems. Here, we provide a comprehensive analysis of the scaling of the quantum Fisher information for different families of protocols that create a continuous connection between static and dynamical approaches. In particular, we consider fully-connected models, a broad class of quantum critical systems of high experimental relevance. Our analysis unveils the existence of universal precision-scaling regimes. These regimes remain valid even for finite-time protocols and finite-size systems. We also frame these results in a general theoretical perspective, by deriving a precision bound for arbitrary time-dependent quadratic Hamiltonians.
PB IOP Publishing
SN 2058-9565
YR 2022
FD 2022-07-01
LK https://hdl.handle.net/10016/39756
UL https://hdl.handle.net/10016/39756
LA eng
NO This work was supported by the Austrian Academy of Sciences (ÖAW) and by the Austrian Science Fund (FWF) through Grant No. P32299 (PHONED). RP acknowledges support from the European Union's Horizon 2020 FET-Open Project SuperQuLAN (899354). OA acknowledges support from the UK EPSRC EP/S02994X/1 and Newcastle University (Newcastle University Academic Track fellowship).
DS e-Archivo
RD 11 sept. 2024