In this section
@article{Shi:2024:10.1103/PhysRevResearch.6.023097,
author = {Shi, B and Mintert, F},
doi = {10.1103/PhysRevResearch.6.023097},
journal = {Physical Review Research},
title = {Quantum simulations of time-dependent Hamiltonians beyond the quasistatic approximation},
url = {http://dx.doi.org/10.1103/PhysRevResearch.6.023097},
volume = {6},
year = {2024}
}
TY - JOUR
AB - Existing approaches to analogue quantum simulations of time-dependent quantum systems relyon perturbative corrections to quantum simulations of time-independent quantum systems. Weovercome this restriction to perturbative treatments with an approach based on flow equations anda multi-mode Fourier expansion. The potential of the quantum simulations that can be achievedwith our approach is demonstrated with the pedagogical example of a Lambda-system and thequench 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 ourapproach to describe situations beyond the validity of adiabatic approximations.
AU - Shi,B
AU - Mintert,F
DO - 10.1103/PhysRevResearch.6.023097
PY - 2024///
SN - 2643-1564
TI - Quantum simulations of time-dependent Hamiltonians beyond the quasistatic approximation
T2 - Physical Review Research
UR - http://dx.doi.org/10.1103/PhysRevResearch.6.023097
UR - http://hdl.handle.net/10044/1/109539
VL - 6
ER -