Quasienergy spectrum and tunneling current in ac-driven triple quantum dot shuttles

Abstract

The dynamics of electrons in ac driven double quantum dots have been extensively analyzed by means of Floquet theory. In these systems, coherent destruction of tunneling has been shown to occur for certain ac field parameters. In the present work we analyze, by means of Floquet theory, the electron dynamics of a triple quantum dot in series attached to electric contacts, where the central dot position oscillates. In particular, we analyze the quasienergy spectrum of this ac driven nanoelectromechanical system, as a function of the intensity and frequency of the ac field and of external dc voltages. For strong driving fields, we derive, by means of perturbation theory, analytical expressions for the quasienergies of the driven oscillator system. From this analysis we discuss the conditions for coherent destruction of tunneling (CDT) to occur as a function of detuning and field parameters. For zero detuning, and from the invariance of the Floquet Hamiltonian under a generalized parity transformation, we find analytical expressions describing the symmetry properties of the Fourier components of the Floquet states under such transformation. By using these expressions, we show that in the vicinity of the CDT condition, the quasienergy spectrum exhibits exact crossings which can be characterized by the parity properties of the corresponding eigenvectors.

References in corpus (9)

• Driven quantum transport on the nanoscale
• Dynamical control of matter-wave tunneling in periodic potentials
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Visualization of Coherent Destruction of Tunneling in an Optical Double Well System
• Two path transport measurements on a triple quantum dot
• Control of Spin Blockade by AC Magnetic Fields in Triple Quantum Dots
• Third order correction to localization in a two-level driven system
• Electron bunching in triple quantum dot interferometers
• Tunnel spectroscopy in ac-driven quantum dot nanoresonators

Cited by in corpus (3)

• Charge localization and dynamical spin locking in double quantum dots driven by ac magnetic fields
• Photo-assisted spin transport in double quantum dots with spin-orbit interaction
• Long-range spin transport in asymmetric quadruple quantum dots configurations