Adiabatic tracking of quantum many-body dynamics
Hamed Saberi, Tom\'a\v{s} Opatrn\'y, Klaus M{\o}lmer, Adolfo del Campo
TL;DR
This paper introduces a practical method for controlling quantum many-body dynamics through adiabatic tracking by tailoring auxiliary interactions, enabling effectively adiabatic evolution with only short-range few-body interactions.
Contribution
It proposes a novel scheme to achieve adiabatic quantum dynamics using tailored auxiliary interactions, avoiding complex nonlocal terms.
Findings
Effective adiabatic dynamics achieved with short-range interactions
Scheme simplifies implementation in mesoscopic systems
Potential for improved quantum control protocols
Abstract
The nonadiabatic dynamics of a many-body system driven through a quantum critical point can be controlled using counterdiabatic driving, where the formation of excitations is suppressed by assisting the dynamics with auxiliary multiple-body nonlocal interactions. We propose an alternative scheme which circumvents practical challenges to realize shortcuts to adiabaticity in mesoscopic systems by tailoring the functional form of the auxiliary counterdiabatic interactions. A driving scheme resorting in few-body short-range interactions is shown to generate an effectively adiabatic dynamics.
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