Variational approach to the optimal control of coherently driven, open quantum system dynamics

Abstract

Quantum coherence inherently affects the dynamics and the performances of a quantum machine. Coherent control can, at least in principle, enhance the work extraction and boost the velocity of evolution in an open quantum system. Using advanced tools from the calculus of variations and reformulating the control problem in the instantaneous Hamiltonian eigenframe, we develop a general technique for minimizing a wide class of cost functionals when the external control has access to full rotations of the system Hamiltonian. The method is then applied both to time and heat loss minimization problems and explicitly solved in the case of a two level system in contact with either bosonic or fermionic thermal environments.

13 pages, 2 figures, added references, corrected typos

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Cited by in corpus (14)

• Thermodynamic length in open quantum systems
• Spin quantum heat engines with shortcuts to adiabaticity
• Optimal Control Methods for Quantum Batteries
• Maximum power and corresponding efficiency for two-level heat engines and refrigerators: optimality of fast cycles
• Engineering dynamical couplings for quantum thermodynamic tasks
• Differentiable Molecular Simulations for Control and Learning
• Maximum power heat engines and refrigerators in the fast-driving regime
• Extrapolating the thermodynamic length with finite-time measurements
• Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Quantum compiling with a variational instruction set for accurate and fast quantum computing
• Quantum state-preparation control in noisy environment via most-likely paths
• Fully differentiable optimization protocols for non-equilibrium steady states
• Coherent dynamical control of quantum processes