Dynamical structure factors of dynamical quantum simulators
Metadatos
Mostrar el registro completo del ítemEditorial
NATL ACAD SCIENCES
Materia
Quantum simulation Dynamical structure factor Rydberg atoms Trapped ions
Fecha
2020Referencia bibliográfica
Maria Laura Baez, Marcel Goihl, Jonas Haferkamp, Juani Bermejo-Vega, Marek Gluza, Jens Eisert Proceedings of the National Academy of Sciences Oct 2020, 117 (42) 26123-26134; [DOI: 10.1073/pnas.2006103117]
Patrocinador
European Research Council (Taming Non-Equilibrium Quantum Systems); Templeton Foundation; Foundational Questions Institute; German Research Foundation (DFG) EI 519/14-1 EI 519/15-1 CRC 183 FOR 2724; MATH+; European Union Horizon 2020 research and innovation program 817482; European Union (EU) 754446; University of Granada Research and Knowledge Transfer Fund-Athenea3iResumen
The dynamical structure factor is one of the experimental quantities crucial in scrutinizing the validity of the microscopic description
of strongly correlated systems. However, despite its long-standing
importance, it is exceedingly difficult in generic cases to numerically
calculate it, ensuring that the necessary approximations involved
yield a correct result. Acknowledging this practical difficulty, we
discuss in what way results on the hardness of classically tracking time evolution under local Hamiltonians are precisely inherited
by dynamical structure factors and, hence, offer in the same way
the potential computational capabilities that dynamical quantum
simulators do: We argue that practically accessible variants of the
dynamical structure factors are bounded-error quantum polynomial time (BQP)-hard for general local Hamiltonians. Complementing these conceptual insights, we improve upon a novel, readily
available measurement setup allowing for the determination of
the dynamical structure factor in different architectures, including
arrays of ultra-cold atoms, trapped ions, Rydberg atoms, and superconducting qubits. Our results suggest that quantum simulations
employing near-term noisy intermediate-scale quantum devices
should allow for the observation of features of dynamical structure
factors of correlated quantum matter in the presence of experimental imperfections, for larger system sizes than what is achievable by
classical simulation.