IPAC'25 - the 16th International Particle Accelerator Conferece

Aspects of stroboscopic averaging for the invariant spin field

WEPM005

4 Jun 2025, 16:00

2h

Exhibiton Hall A _Magpie (TWTC)

Poster Presentation MC5.D11 Code Developments and Simulation Techniques Wednesday Poster Session

Speaker

Eiad Hamwi (Cornell University (CLASSE))

Description

A new method is formulated for calculating the invariant spin field (ISF) at a phase space point by leveraging the property that spins which are distributed along the ISF achieve maximum time-averaged polarization. To quantify this, we construct the time-average of spin rotation matrices beginning at a certain phase space point. It is recognized that the ISF vector at that point achieves the matrix-norm, meaning that the ISF corresponds to the first right-singular vector of that matrix. We show the relation of this method with traditional stroboscopic averaging, such that these methods are two sides of the same coin. This approach offers a new perspective in invariant spin field calculations.

Funding Agency

This work has been supported by Brookhaven Science Associates, LLC under Contract No. DE-SC0012704 with the U.S. Department of Energy, No. DE SC-0024287, and DE-SC0018008.