Non-Markovianity in the optimal control of an open quantum system described by hierarchical equations of motion

Abstract

Optimal control theory is implemented with fully converged hierarchical equations of motion (HEOM) describing the time evolution of an open system density matrix strongly coupled to the bath in a spin-boson model. The populations of the two-level sub-system are taken as control objectives; namely, their revivals or exchange when switching off the field. We, in parallel, analyze how the optimal electric field consequently modifies the information back flow from the environment through different non-Markovian witnesses. Although the control field has a dipole interaction with the central sub-system only, its indirect influence on the bath collective mode dynamics is probed through HEOM auxiliary matrices, revealing a strong correlation between control and dissipation during a non-Markovian process. A heterojunction is taken as an illustrative example for modeling in a realistic way the two-level sub-system parameters and its spectral density function leading to a non-perturbative strong coupling regime with the bath. Although, due to strong system-bath couplings, control performances remain rather modest, the most important result is a noticeable increase of the non-Markovian bath response induced by the optimally driven processes.

arXiv comment23 pages, 7 figures, 62 references

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Cited by in corpus (17)

• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems
• Introduction to Theoretical and Experimental aspects of Quantum Optimal Control
• Experimental emulation of quantum non-Markovian dynamics and coherence protection in the presence of information backflow
• A quantum-classical decomposition of Gaussian quantum environments: a stochastic pseudomode model
• Time-optimal purification of a qubit in contact with a structured environment
• Survey of the Hierarchical Equations of Motion in Tensor-Train format for non-Markovian quantum dynamics
• Optimal control and selectivity of qubits in contact with a structured environment
• Managing Temperature in Open Quantum Systems Strongly Coupled with Structured Environments
• Optimizing performance of quantum operations with non-Markovian decoherence: the tortoise or the hare?
• Basic mechanisms in the laser control of non-Markovian dynamics
• Unifying methods for optimal control in non-Markovian quantum systems via process tensors
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• Complete positivity, positivity and long-time asymptotic behavior in a two-level open quantum system
• Control of open quantum systems: Manipulation of a qubit coupled to a thermal bath by an external driving field
• Exploring the limits of the generation of non-classical states of spins coupled to a cavity by optimal control
• Non-Markovian dynamics of the electronic subsystem in a laser-driven molecule: Characterization and connections with electronic-vibrational entanglement and electronic coherence