Abstract
In this article, we evaluate the efficiency of two shortcuts to adiabaticity for the STIRAP system, in the presence of Ornstein–Uhlenbeck noise in the energy levels. The shortcuts under consideration preserve the interactions of the original Hamiltonian, without adding extra counterdiabatic terms, which directly connect the initial and target states. The first shortcut is such that the mixing angle is a polynomial function of time, while the second shortcut is derived from Gaussian pulses. Extensive numerical simulations indicate that both shortcuts perform quite well and robustly even in the presence of relatively large noise amplitudes, while their performance is decreased with increasing noise correlation time. For similar pulse amplitudes and durations, the efficiency of classical STIRAP is highly degraded even in the absence of noise. When using pulses with similar areas for the two STIRAP shortcuts, the shortcut derived from Gaussian pulses appears to be more efficient. Since STIRAP is an essential tool for the implementation of emerging quantum technologies, the present work is expected to find application in this broad research field.
Highlights
Stimulated Raman adiabatic passage (STIRAP) is a widely used quantum control method for the efficient transfer of a population in a three-level Λ-type system [1,2,3,4], which has been exploited in multi-level systems [5]
We evaluate the performance under noise for two shortcuts to adiabaticity, which preserve the interactions of the original STIRAP Hamiltonian, without making use of additional terms
We studied the performance of two shortcuts to adiabaticity for the STIRAP system, in the presence of dephasing by exponentially correlated noise
Summary
Stimulated Raman adiabatic passage (STIRAP) is a widely used quantum control method for the efficient transfer of a population in a three-level Λ-type system [1,2,3,4], which has been exploited in multi-level systems [5]. We evaluate the performance under noise for two shortcuts to adiabaticity, which preserve the interactions of the original STIRAP Hamiltonian, without making use of additional terms. Both STIRAP shortcuts are obtained following the recipe described in [19,40]; the first shortcut is such that the mixing angle is a polynomial function of time, while the second one is derived from Gaussian STIRAP pulses.
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