Despite the widespread adoption of adiabatic transformations for quantum control purposes, such processes are only realized when the Hamiltonian varies sufficiently slowly with time, which results in long-time dynamics that in practice extend well beyond the coherence lifetime of the system. In view of this, the search for fast routes that connect the initial and final states of adiabatic protocols to enable their realization within the coherence lifetime has become an important issue in quantum information science. Approaches along these lines, often termed shortcuts to adiabaticity (STA), have been extensively investigated for about two decades. In this talk, we will concentrate on the time-rescaling (TR) method of designing STA protocols proposed by Bernardo [1]. We demonstrate that the STA engineered via TR follow the same route described by the reference adiabatic protocol, and that the dynamics are transitionless. We also show that the time evolution of the STA are related to the time evolution of the reference process by a simple reparametrization of time. To illustrate these properties, we use TR to design processes that speed up the stimulated Raman adiabatic passage (STIRAP) [2].

References:

[1] B. L. Bernardo, Phys. Rev. Res. 2, 013133 (2020).
[2] J. L. M. Ferreira, A. F. S. França, A. Rosas, B. L. Bernardo, arXiv:2406.07433 (2024