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.

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

References in corpus (11)

• Shortcut to adiabatic passage in two and three level atoms
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Fast population transfer engineering of three-level systems
• Adiabatic approximation in open quantum systems
• New infrared emission of the NV centre in diamond: Zeeman and uniaxial stress studies
• Superadiabatic population transfer in a three-level superconducting circuit
• Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
• Initialisation of single spin dressed states using shortcuts to adiabaticity
• Incoherent qubit control using the quantum Zeno effect
• Steady-State Coherent Transfer by Adiabatic Passage
• Dynamical invariants and nonadiabatic geometric phases in open quantum systems

Cited by in corpus (12)

• Observation of quantum strong Mpemba effect
• Optimal quantum annealing: A variational shortcut to adiabaticity approach
• Coherent control techniques in three-level quantum sensing
• Accelerated adiabatic passage in cavity magnomechanics
• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Trajectory tracking for non-Markovian quantum systems
• The driven-Markovian master equation based on the Lewis-Riesenfeld invariants theory
• 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