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

1C8 電子-フォノン系の量子統計力学(1C 低温)

浩市村

日本物理学会春季分科会講演予稿集Apr 1, 19550 citations

19C-4 遠い距離における交換相互作用

泰一郎長谷田

日本物理学会年会講演予稿集Oct 15, 19580 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

{\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.