Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator

Abstract

We investigate the action of time dependent detunings upon the excitation inversion of a Cooper pair box interacting with a nanomechanical resonator. The method employs the Jaynes-Cummings model with damping, assuming different decay rates of the Cooper pair box and various fixed and t-dependent detunings. It is shown that while the presence of damping plus constant detunings destroy the collapse/revival effects, convenient choices of time dependent detunings allow one to reconstruct such events in a perfect way. It is also shown that the mean excitation of the nanomechanical resonator is more robust against damping of the Cooper pair box for convenient values of t-dependent detunings.

11 pages, 5 figures

References in corpus (9)

• Optical realization of relativistic non-Hermitian quantum mechanics
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• Controllable Coupling between Flux Qubit and Nanomechanical Resonator by Magnetic Field
• Solutions to the Jaynes-Cummings model without the rotating-wave approximation
• Entanglement between two atoms in a damping Jaynes-Cummings model
• Non-Hermitian quantum mechanics in non-commutative space
• Controlling Statistical Properties of a Cooper Pair Box Interacting with a Nanomechanical Resonator
• Hole burning in a nanomechanical resonator coupled to a Cooper pair box
• Numerical Study of Energy Loss by a Nanomechanical Oscillator Coupled to a Cooper Pair Box

Cited by in corpus (3)

• Controlling the nonclassical properties of a hybrid Cooper pair box system and an intensity dependent nanomechanical resonator
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• Some Aspects of Quantum Optics Using Light Fields in Traveling Waves