Quantum simulations of time-dependent Hamiltonians beyond the quasistatic approximation
File(s)
Published version
Author(s)
Shi, Boyuan
Mintert, Florian
Type
Journal Article
Abstract
Existing approaches to analogue quantum simulations of time-dependent quantum systems rely
on perturbative corrections to quantum simulations of time-independent quantum systems. We
overcome this restriction to perturbative treatments with an approach based on flow equations and
a multi-mode Fourier expansion. The potential of the quantum simulations that can be achieved
with our approach is demonstrated with the pedagogical example of a Lambda-system and the
quench in finite time through a quantum phase transition of a Chern insulator in a driven noninteracting Hubbard system. The example of the Lambda-system demonstrates the ability of our
approach to describe situations beyond the validity of adiabatic approximations.
on perturbative corrections to quantum simulations of time-independent quantum systems. We
overcome this restriction to perturbative treatments with an approach based on flow equations and
a multi-mode Fourier expansion. The potential of the quantum simulations that can be achieved
with our approach is demonstrated with the pedagogical example of a Lambda-system and the
quench in finite time through a quantum phase transition of a Chern insulator in a driven noninteracting Hubbard system. The example of the Lambda-system demonstrates the ability of our
approach to describe situations beyond the validity of adiabatic approximations.
Date Issued
2024-04-29
Date Acceptance
2024-02-14
Citation
Physical Review Research, 2024, 6 (2)
ISSN
2643-1564
Publisher
American Physical Society
Journal / Book Title
Physical Review Research
Volume
6
Issue
2
Copyright Statement
© 2024 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
License URL
Publication Status
Published
Article Number
023097