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北京理工大学学报：英文版

Quantum Dynamics of a Charge Qubit in a Squeezed Field

邹健, 陈卓, 邵彬

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The quantum dynamics of a charge qubit, which makes up of a single-Cooper-pair box, are explored. The Cooper-pair box is irradiated by a squeezed field in an ideal one-mode cavity. By the result of the Schrodinger equation, the Cooper pairs number 〈N〉 is conveniently obtained. Then it is proved that the oscillations of the Cooper-pair number 〈N〉 are decreasing with the increasing squeezing parameter of the squeezed field.

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The quantum dynamics of a charge qubit, which makes up of a single-Cooper-pair box, are explored. The Cooper-pair box is irradiated by a squeezed field in an ideal one-mode cavity. By the result of the Schrodinger equation, the Cooper pairs number 〈N〉 is conveniently obtained. Then it is proved that the oscillations of the Cooper-pair number 〈N〉 are decreasing with the increasing squeezing parameter of the squeezed field.

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arXiv:cond-mat/0305433•Physical Review B•Apr 5, 2004•178 citations
The quantum dynamics of a charge qubit, which makes up of a single-Cooper-pair box, are explored. The Cooper-pair box is irradiated by a squeezed field in an ideal one-mode cavity. By the result of the Schrodinger equation, the Cooper pairs number 〈N〉 is conveniently obtained. Then it is proved that the oscillations of the Cooper-pair number 〈N〉 are decreasing with the increasing squeezing parameter of the squeezed field.
A Cooper-pair box biased by a classical voltage and also irradiated by a squeezed state field is considered in order to find new ways to quantum communication and calculation. The quantum dynamics of the Cooper-pair box and the entanglement which is the core theoretics of quantum communication and calculation is investigated in this system, which is related to the squeezing parameter of the squeezed state. A model of Hamiltonian which represents the interaction between box and quantum field is introduced. Finally, the relationship between the entanglement and the squeezing parameter of the squeezed state is demonstrated.
We consider a single-Cooper-pair box biased by a classical voltage and also irradiated by a single-mode quantized field. We assume that the box is initially in a mixed state, and investigate the quantum dynamics of the Cooper-pair box and show that the collapse and revival phenomenon can exist in this system. We also study the quantum entropy of the single-Cooper-pair box and discuss the effects of the different parameters on this quantum entropy. We find that the box, which is initially in a mixed state, may evolve into an almost pure state.
We have fabricated a Josephson charge qubit by capacitively coupling a single-Cooper-pair box (SCB) to an electrometer based upon a single-electron transistor (SET) configured for radio-frequency readout (rf-SET). Charge quantization of 2e2e2e is observed and microwave spectroscopy is used to extract the Josephson and charging energies of the box. We perform coherent manipulation of the SCB by using very fast dc pulses and observe quantum oscillations in time of the charge that persist to $\ensuremath{\simeq}10\mathrm{ns}.$ The observed contrast of the oscillations is high and agrees with that expected from the finite EJ/EC{E}_{J}{/E}_{C}EJ​/EC​ ratio and finite rise time of the dc pulses. In addition, we are able to demonstrate nearly 100100%100 initial charge state polarization. We also present a method to determine the relaxation time T1{T}_{1}T1​ when it is shorter than the measurement time Tmeas.{T}_{\mathrm{meas}}.Tmeas​.