Shortcuts to adiabaticity for open quantum systems and a mixed-state inverse engineering scheme

Abstract

We propose a fast mixed-state control scheme to transfer the quantum state along designable trajectories in Hilbert space, which is robust to multiple decoherence noises. Starting with the dynamical invariants of open quantum systems, we present the shortcuts to adiabaticity (STAs) of open quantum systems at first, then apply the STAs to speed up the adiabatic steady process. Our scheme drives open systems from a initial steady state to a target steady state by a controlled Liouvillian that possesses the same form as the reference (original) one which is accessible in present-day experiments. The experimental observation with current available parameters for the nitrogen-vacancy (NV) center in diamond is suggested and discussed.

arXiv commentCorrected typos, revised title to be consistent with journal version, results unchanged

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• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
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• Robust population transfer of spin states by geometric formalism
• High-fidelity Nuclear Coherent Population Transfer via the Mixed-State Inverse Engineering
• Quantum Transport Protected by Acceleration From Nonadiabaticity and Dissipation
• Highly efficient nuclear population transfer through physics-informed neural networks
• Characterization and generation of a SQL-beating catlike state through repetitive measurements