Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

Exponential improvement of the sign problem via contour deformations in the 2+1D XY model at nonzero density

Aug 8, 2022, 6:10 PM
CP1-HSZ/Ground-0.011 - HS1 (CP1-HSZ)

CP1-HSZ/Ground-0.011 - HS1


Oral Presentation QCD at Non-zero Density Non-zero Density


Zoltan Tulipant


We studied the 2+1 dimensional XY model at nonzero chemical potential on deformed integration manifolds with the aim of alleviating its sign problem. We investigated several proposals for the deformations and managed to considerably improve on the severity of the sign problem with respect to standard reweighting approaches. In this talk I present numerical evidence that a significant reduction of the sign problem can be achieved which is exponential in both the squared chemical potential and the spatial volume. Furthermore, I discuss a new approach to the optimizaiton procedure, based on reweighting, that sensibly reduces its computational cost.

Primary author

Zoltan Tulipant


Attila Pasztor (Eotvos University, Budapest) Kornel Kapas (Eotvos University, Budapest) Matteo Giordano (Eotvos University, Budapest) Sandor Katz (Eotvos University, Budapest)

Presentation materials