Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage

• URL: http://arxiv.org/abs/2010.05093v2
• Date: Thu, 17 Jun 2021 00:36:13 GMT
• Title: Adiabatic theorem revisited: the unexpectedly good performance of adiabatic passage
• Authors: Albert Benseny and Klaus M{\o}lmer
• Abstract summary: Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the adiabatic eigenstate at intermediate times. In numerous applications it is observed that this deviation reaches a maximum and then decreases significantly towards the end of the process.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Adiabatic passage employs a slowly varying time-dependent Hamiltonian to control the evolution of a quantum system along the Hamiltonian eigenstates. For processes of finite duration, the exact time evolving state may deviate from the adiabatic eigenstate at intermediate times, but in numerous applications it is observed that this deviation reaches a maximum and then decreases significantly towards the end of the process. We provide a straightforward theoretical explanation for this welcome but often unappreciated fact. Our analysis emphasizes a separate adiabaticity criterion for high fidelity state-to-state transfer and it points to new effective shortcut strategies for near adiabatic dynamics.

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