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Results in Physics

Shortcuts in cascaded adiabatic frequency conversion

Zhuo-Hang Wei, Xiang Zhang, Changshui Chen

Published Jun 11, 2022• 5 citations
Publisher

Abstract

Shortcuts to adiabaticity (STA) are channels that can fast prepare a desired quantum state with high fidelity which obtains more and more research in the atomic domain. Based on stimulated Raman shortcut-to-adiabatic passage (STIRSAP), we propose a frequency conversion technique which works through a non-adiabatic route and produces the same energy distribution as in adiabatic evolution. Numerical simulation results show that the conversion is efficient and robust. Our results reveal a novel scenario for frequency conversion and relax the strict limitations on system parameters in adiabatic frequency conversion.

DOI
10.1016/j.rinp.2022.105728

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Shortcuts to adiabaticity (STA) are channels that can fast prepare a desired quantum state with high fidelity which obtains more and more research in the atomic domain. Based on stimulated Raman shortcut-to-adiabatic passage (STIRSAP), we propose a frequency conversion technique which works through a non-adiabatic route and produces the same energy distribution as in adiabatic evolution. Numerical simulation results show that the conversion is efficient and robust. Our results reveal a novel scenario for frequency conversion and relax the strict limitations on system parameters in adiabatic frequency conversion.
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Abstract Based on the Lewis-Riesenfeld (LR) invariant based inverse engineering for Shortcuts to adiabaticity (STA), we propose a cascaded frequency conversion technique. The technique maintains the same initial and final states as stimulated Raman adiabatic passage (STIRAP) but does not follow an adiabatic evolution during the intermediate processes. The results of numerical simulations show that the technique transfers the eigenstates from the initial state to the final state by designing an adiabatic evolutionary path, which is free to choose the length of the crystal within the crystal laser-induced damage threshold (LIDT), thus realizing a rapid adiabatic cascaded frequency conversion process with robustness under certain temperature variations and signal-laser wavelength variations.
Accurate control of a quantum system is a fundamental requirement in many areas of modern science ranging from quantum information processing to high-precision measurements. A significantly important goal in quantum control is preparing a desired state as fast as possible, with sufficiently high fidelity allowed by available resources and experimental constraints. Stimulated Raman adiabatic passage (STIRAP) is a robust way to realize high-fidelity state transfer but it requires a sufficiently long operation time to satisfy the adiabatic criteria. Here we theoretically propose and then experimentally demonstrate a shortcut-to-adiabatic protocol to speed-up the STIRAP. By modifying the shapes of the Raman pulses, we experimentally realize a fast and high-fidelity stimulated Raman shortcut-to-adiabatic passage that is robust against control parameter variations. The all-optical, robust and fast protocol demonstrated here provides an efficient and practical way to control quantum systems.
The technique of stimulated Raman shortcut to adiabatic passage (STIRSAP) is implemented to chainwise and N-pod systems. In chainwise systems, for large detuning conditions, the population of the middle states can be suppressed during the time evolution of the system and therefore, the Hamiltonian of an N-state system is reduced to an effective two-level system, using adiabatic elimination technique. Applying the STIRSAP method in two-level systems, the modified Rabi frequencies for fast population transfer are achieved. For N + 1-pod systems, assuming that N Stokes pulses have the same time dependence, we reduce the Hamiltonian of the original system to a three-state system. For both resonance and detuning conditions, we can reduce the three-state Hamiltonian to an effective two-state one. Using the STIRSAP technique, robust population transfer can be achieved from an initial ground state to an arbitrary coherent superposition of all ground states.
Accurate control of a quantum system is a fundamental requirement in many areas of modern science ranging from quantum information processing to high-precision measurements. A significantly important goal in quantum control is to prepare a desired state as fast as possible with sufficiently high fidelity allowed by available resources and experimental constraints. Stimulated Raman adiabatic passage (STIRAP) is a robust way to realize high-fidelity state transfer but it requires a sufficiently long operation time to satisfy the adiabatic criteria. We here theoretically propose and then experimentally demonstrate a shortcut-to-adiabatic protocol to speed up the STIRAP. By modifying the shapes of the Raman pulses, we experimentally realize a fast and high-fidelity stimulated Raman shortcut-to-adiabatic passage that is robust against control parameter variations. The all-optical, robust, and fast protocol demonstrated here provides an efficient and practical way to control quantum systems.