Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session LL03: V: Progress in AMO Physics I
4:00 PM–6:00 PM,
Wednesday, March 6, 2024
Room: Virtual Room 03
Sponsoring
Unit:
DAMOP
Chair: Rimsha Shaikh, NED University of Engineering and Technology
Abstract: LL03.00009 : Squeezing in atomic boson sampling*
5:36 PM–5:48 PM
Presenter:
William D Shannon
(Texas A&M University)
Authors:
William D Shannon
(Texas A&M University)
Vitaly V Kocharovsky
(Texas A&M University)
Bose-Einstein condensate (BEC) has been suggested [V.V. Kocharovsky et al., PRA 106, 063312 (2022),
Entropy 24, 1771 (2022)] as a process that could be ♯P-hard for classical computing. Here we consider
this process within the simplest possible model of a BEC trap – the box with the periodic boundary
conditions. Remarkably, this model remains pertained to ♯P-hardness and quantum supremacy. We
calculate, analytically and numerically, the effect of single- and two-mode squeezing on the statistics of
sampling from a single eigen-squeeze mode and two counter-propagating waves. Although not complex
enough on its own to show ♯P-hard behavior, single- or two-mode sampling reveals the basic
mechanism for the emergence of the computational ♯P-hardness in a many-body quantum system of
interacting atoms.
*The support from the Herman F. Heep and Minnie Belle Heep Texas A&MUniversity Endowed Fund held/administered by the Texas A&M Foundation is acknowledged.
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