Quantum control in open and periodically driven systems

Abstract

Quantum technology resorts to efficient utilization of quantum resources to\nrealize technique innovation. The systems are controlled such that their states\nfollow the desired manners to realize different quantum protocols. However, the\ndecoherence caused by the system-environment interactions causes the states\ndeviating from the desired manners. How to protect quantum resources under the\ncoexistence of active control and passive decoherence is of significance.\nRecent studies have revealed that the decoherence is determined by the feature\nof the system-environment energy spectrum: Accompanying the formation of bound\nstates in the energy spectrum, the decoherence can be suppressed. It supplies a\nguideline to control decoherence. Such idea can be generalized to systems under\nperiodic driving. By virtue of manipulating Floquet bound states in the\nquasienergy spectrum, coherent control via periodic driving dubbed as Floquet\nengineering has become a versatile tool not only in controlling decoherence,\nbut also in artificially synthesizing exotic topological phases. We will review\nthe progress on quantum control in open and periodically driven systems.\nSpecial attention will be paid to the distinguished role played by the bound\nstates and their controllability via periodic driving in suppressing\ndecoherence and generating novel topological phases.\n