Quantum control in open and periodically driven systems

Abstract

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

Self‐Charged Dual‐Photoelectrode Vanadium–Iron Energy Storage Battery

“…Furthermore, the presence of Fe 2+ in the cathode chamber was confirmed using the phosphoric acid masking -potassium ferricyanide coloring method. [43] K 3 Fe(CN) 6 was employed to rapidly form Teng's blue precipitate upon reaction with Fe 2+ . H 3 PO 4 was added to the solutions before and after the photoreaction to promote the formation of a colorless complex between Fe 3+ and H 3 PO 4 , thereby eliminating interference from Fe 3+ .…”

Negative cavity photon spectral function in an optomechanical system with two parametrically-driven mechanical oscillators

“…On the other hand, driven-dissipative quantum systems have recently attracted intensive research interests, particularly in the context of quantum control (for a very recent, comprehensive review, the reader is referred to Ref. 64 ). Generally, the steady state of such systems can be far from equilibrium because of the unavoidable competition between driving and dissipation.…”

Controlling the dynamics of dissipationless localized bound states in open quantum systems with periodic driving fields

“…Other than the above-listed protocols, it has also long been confirmed that temporal periodic driving on the open system can impose significant effects on the system dynamics [36][37][38][39][40][41][42]. Some methods of dealing with this problem, e.g., spectral filtering theory [43][44][45][46][47] and those based on the Floquet theory [48][49][50], have also been developed. Different from the bound states generated in the time-independent system, e.g., the impurity system in the solid system, the bound states generated by temporal periodic driving fields are time-dependent and are dubbed as Floquet bound states [48][49][50].…”

“…Some methods of dealing with this problem, e.g., spectral filtering theory [43][44][45][46][47] and those based on the Floquet theory [48][49][50], have also been developed. Different from the bound states generated in the time-independent system, e.g., the impurity system in the solid system, the bound states generated by temporal periodic driving fields are time-dependent and are dubbed as Floquet bound states [48][49][50]. The conditions for their formation as well as their applications in the quantum information technologies are also discussed [48,50].…”

“…In this work, we shall analyze the influences of the driving field and propose the potential application of the driving based on the numerical results and theoretical analysis. The framework is based on the picture of energy transfer and renormalization effect originating from the driving field, which is different from those based on the Floquet theory [41,[48][49][50]. The paper is organized as follows.…”