Fermionic Hamiltonian engineering with local control

Quantum simulators enable the exploration of complex quantum phenomena in condensed-matter systems by reproducing their dynamics on controllable quantum devices. However, experimental constraints often restrict the class of Hamiltonians that can be realized natively. Hamiltonian engineering addresses this limitation by expanding the set of accessible target Hamiltonians from a fixed system Hamiltonian defined by the hardware. We introduce a new framework for fermionic Hamiltonian engineering based on conjugating free evolution under the system Hamiltonian with sequences of experimentally feasible local fermionic unitaries. The required sequences and free-evolution times are obtained efficiently via a linear program. By interleaving system evolution with these local unitaries, our method realizes effective time evolution under a broad class of target Hamiltonians, with intrinsic robustness to finite-pulse-time errors. In particular, we demonstrate that arbitrary complex tunnelling coefficients can be realized, constrained only by the connectivity of the underlying system Hamiltonian. We illustrate this capability by engineering the dynamics of the non-interacting Harper-Hofstadter model on a 1088-mode lattice and an interacting Fermi-Hubbard chain with complex tunnelling coefficients. By construction, our approach avoids the continuous energy absorption inherent to Floquet engineering.

Subjects

quantum simulators fermionic hamiltonitan

DDC Class

530: Physics

004: Computer Sciences

Funding(s)

Auf dem Weg zu einem nützlichen Quantenvorteil

Lizenz

https://creativecommons.org/licenses/by/4.0/

Publisher‘s Creditline

We are grateful to Pascal Baßler, Bruno Murta, Mirko Arienzo, Marcus Meschede and Thomas Friese for fruitful discussions on the project.

Publication version

submittedVersion

Name

2606.17158v1.pdf

Type

Main Article

Size

1.5 MB

Format

Adobe PDF

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Fermionic Hamiltonian engineering with local control