TY - JOUR
T1 - Exact broadband excitation of two-level systems by mapping spins to springs
AU - Li, Jr Shin
AU - Ruths, Justin
AU - Glaser, Steffen J.
N1 - Funding Information:
This work was supported by the National Science Foundation under the awards CMMI-1462796 and ECCS-1509342 (JSL), the Air Force Office of Scientific Research under the award FA9550-17-1-0166. (JSL), and the DFG grant GL 203/7-2 of SPP 1601 (SJG).
Publisher Copyright:
© 2017 The Author(s).
PY - 2017/12/1
Y1 - 2017/12/1
N2 - Designing accurate and high-fidelity broadband pulses is an essential component in conducting quantum experiments across fields from protein spectroscopy to quantum optics. However, constructing exact and analytic broadband pulses remains unsolved due to the nonlinearity and complexity of the underlying spin system dynamics. Here, we present a nontrivial dynamic connection between nonlinear spin and linear spring systems and show the surprising result that such nonlinear and complex pulse design problems are equivalent to designing controls to steer linear harmonic oscillators under optimal forcing. We derive analytic broadband π/2 and π pulses that perform exact, or asymptotically exact, excitation and inversion over a defined bandwidth, and also with bounded amplitude. This development opens up avenues for pulse sequence design and lays a foundation for understanding the control of two-level systems.
AB - Designing accurate and high-fidelity broadband pulses is an essential component in conducting quantum experiments across fields from protein spectroscopy to quantum optics. However, constructing exact and analytic broadband pulses remains unsolved due to the nonlinearity and complexity of the underlying spin system dynamics. Here, we present a nontrivial dynamic connection between nonlinear spin and linear spring systems and show the surprising result that such nonlinear and complex pulse design problems are equivalent to designing controls to steer linear harmonic oscillators under optimal forcing. We derive analytic broadband π/2 and π pulses that perform exact, or asymptotically exact, excitation and inversion over a defined bandwidth, and also with bounded amplitude. This development opens up avenues for pulse sequence design and lays a foundation for understanding the control of two-level systems.
UR - http://www.scopus.com/inward/record.url?scp=85028909398&partnerID=8YFLogxK
U2 - 10.1038/s41467-017-00441-7
DO - 10.1038/s41467-017-00441-7
M3 - Article
C2 - 28874703
AN - SCOPUS:85028909398
SN - 2041-1723
VL - 8
JO - Nature communications
JF - Nature communications
IS - 1
M1 - 446
ER -