We study ultrasmall Josephson junctions using the coherent picture to describe the pair dynamics and the semiclassical approach for the quasiparticles. We find that the dynamics depends crucially on the ratio of the superconducting gap energy \ensuremath{\Delta}(T) to the charging energy ${\mathrm{e}}^{2}$ /2C. The pair ``Bloch oscillations'' can be practically observed when 2\ensuremath{\Delta}(T)> ${\mathrm{e}}^{2}$ /2C; for 2\ensuremath{\Delta}(T) ${\mathrm{e}}^{2}$ /2C the ${\mathrm{I}}_{\mathrm{dc}/\mathrm{e}}$ oscillations due to quasiparticle tunneling can be observed. We discuss under what conditions the I-V characteristic will be S-shaped, exhibiting both oscillations at different values of the current.We study ultrasmall Josephson junctions using the coherent picture to describe the pair dynamics and the semiclassical approach for the quasiparticles. We find that the dynamics depends crucially on the ratio of the superconducting gap energy \ensuremath{\Delta}(T) to the charging energy ${\mathrm{e}}^{2}$/2C. The pair ``Bloch oscillations'' can be practically observed when 2\ensuremath{\Delta}(T)>${\mathrm{e}}^{2}$/2C; for 2\ensuremath{\Delta}(T)${\mathrm{e}}^{2}$/2C the ${\mathrm{I}}_{\mathrm{dc}/\mathrm{e}}$ oscillations due to quasiparticle tunneling can be observed. We discuss under what conditions the I-V characteristic will be S-shaped, exhibiting both oscillations at different values of the current.

Physical Review LettersMar 14, 198842 citations

双光子J—C模型中的奇,偶相干态

刘惠恩

Laser & Optoelectronics ProgressJan 1, 19950 citations

Freudenthal triple classification of three-qubit entanglement

L. Borsten, D. Dahanayake, M. J. Duff +2 more

We show that the three-qubit entanglement classes, (0) null, (1) separable $A\text{\ensuremath{-}}B\text{\ensuremath{-}}C$, (2a) biseparable $A\text{\ensuremath{-}}BC$, (2b) biseparable $B\text{\ensuremath{-}}CA$, (2c) biseparable $C\text{\ensuremath{-}}AB$, (3) $W$ , and (4) Greenberger-Horne-Zeilinger, correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3, and 4 of a Freudenthal triple system defined over the Jordan algebra $\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}$. We also compute the corresponding stochastic local operations and classical communication orbits.We show that the three-qubit entanglement classes, (0) null, (1) separable $A\text{\ensuremath{-}}B\text{\ensuremath{-}}C$, (2a) biseparable $A\text{\ensuremath{-}}BC$, (2b) biseparable $B\text{\ensuremath{-}}CA$, (2c) biseparable $C\text{\ensuremath{-}}AB$, (3) $W$, and (4) Greenberger-Horne-Zeilinger, correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3, and 4 of a Freudenthal triple system defined over the Jordan algebra $\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}$. We also compute the corresponding stochastic local operations and classical communication orbits.

arXiv:0812.3322Physical Review ASep 22, 200957 citations

群C 4v 酉表示中的佯谬

蒋德瀚

Journal of Gansu Normal CollegesJan 1, 19990 citations

c.波動粒子相互作用(中扉)

Feb 1, 19790 citations

{\mathrm{e}}^{2}

/2C. The pair ``Bloch oscillations'' can be practically observed when 2\ensuremath{\Delta}(T)>

{\mathrm{e}}^{2}

/2C; for 2\ensuremath{\Delta}(T)

{\mathrm{e}}^{2}

/2C the

{\mathrm{I}}_{\mathrm{dc}/\mathrm{e}}

oscillations due to quasiparticle tunneling can be observed. We discuss under what conditions the I-V characteristic will be S-shaped, exhibiting both oscillations at different values of the current.

W

, and (4) Greenberger-Horne-Zeilinger, correspond respectively to ranks 0, 1, 2a, 2b, 2c, 3, and 4 of a Freudenthal triple system defined over the Jordan algebra $\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}\ensuremath{\bigoplus}\mathbb{C}$. We also compute the corresponding stochastic local operations and classical communication orbits.