Quantum simulations of time-dependent Hamiltonians beyond the quasi-static approximation
- Resource Type
- Working Paper
- Authors
- Shi, Boyuan; Mintert, Florian
- Source
- Subject
- Quantum Physics
- Language
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 non-interacting Hubbard system. The example of the Lambda-system demonstrates the ability of our approach to describe situations beyond the validity of adiabatic approximations.
Comment: 4 Figures. Revised based on referees' comments