Real-time quantum calculations of phase shifts using wave packet time delays

Erik Gustafson; Yingyue Zhu; Patrick Dreher; Norbert M. Linke; Yannick Meurice

doi:10.1103/PhysRevD.104.054507

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Real-time quantum calculations of phase shifts using wave packet time delays

Journal article

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Peer reviewed

Real-time quantum calculations of phase shifts using wave packet time delays

Erik Gustafson, Yingyue Zhu, Patrick Dreher, Norbert M. Linke and Yannick Meurice

Physical review. D, Vol.104(5), p.1

09/01/2021

DOI: 10.1103/PhysRevD.104.054507

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Abstract

We present a method to extract the phase shift of a scattering process using the real-time evolution in the early and intermediate stages of the collision in order to estimate the time delay of a wave packet. This procedure is convenient when using noisy quantum computers for which the asymptotic out-state behavior is unreachable. We demonstrate that the challenging Fourier transforms involved in the state preparation and measurements can be implemented in 1 + 1 dimensions with current trapped ion devices and IBM quantum computers. We compare quantum computations of the time delays obtained in the one-particle quantum mechanics limit and the scalable quantum field theory formulation with accurate numerical results. We discuss the finite volume effects in the Wigner formula connecting time delays to phase shifts. The results reported involve two- and four-qubit calculations, and we discuss the possibility of larger scale computations in the near future.

Astronomy & Astrophysics

Physical Sciences

Physics

Physics, Particles & Fields

Science & Technology

Details

Title: Subtitle: Real-time quantum calculations of phase shifts using wave packet time delays
Creators: Erik Gustafson - University of Iowa
Yingyue Zhu - Joint Quantum Institute
Patrick Dreher - North Carolina State University
Norbert M. Linke - Joint Quantum Institute
Yannick Meurice - University of Iowa
Resource Type: Journal article
Publication Details: Physical review. D, Vol.104(5), p.1
DOI: 10.1103/PhysRevD.104.054507
ISSN: 2470-0010
eISSN: 2470-0029
Publisher: Amer Physical Soc
Number of pages: 11
Grant note: DE-AC05-00OR22725; DE-SC0019139 / U.S. Department of Energy (DoE); United States Department of Energy (DOE) PHY-1430094 / NSF; National Science Foundation (NSF) DESC0021143 / DoE NP Quantum Horizons program; United States Department of Energy (DOE)
Language: English
Date published: 09/01/2021
Academic Unit: Physics and Astronomy
Record Identifier: 9984428669802771

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