An analysis of open quantum systems with interactions and its application to the theory of electron conduction

具有相互作用的开放量子系统的分析及其在电子传导理论中的应用

• 批准号: 20740217
• 负责人: NISHINO Akinori
• 金额: $ 1.66万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2008
• 资助国家: 日本
• 起止时间: 2008 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20740217/
• 关键词: メゾスコピック系; 開放量子系; 量子ドット; 電子間相互作用; 散乱状態; 厳密解; 非平衡電流; エンタングルメント; アンダーソン模型; 多体束縛状態

We studied interacting open quantum dot systems through an exact solution of many-electron scattering eigenstates. First, we investigated the electron transport property of an open quantum dot system described by the two-lead interacting resonant-level model. The exact many-electron scattering states that we constructed are not in the form of the known Bethe eigenstates in the sense that the wave-number set of the incident plane wave is not conserved during the scattering and many-body bound states appear after the scattering. By applying the scattering states to an extension of the Landauer formula, we calculated the average electric current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account qualitatively agrees with several known results. Next, we theoretically proposed entanglement generation through an open quantum dot system described by the two-lead Anderson model. We exactly obtained the transition rate between the non-entangled incident state in one lead and the outgoing spin-singlet state in the other lead. We found that only the spin-singlet state can transmit in a cotunneling scattering process.

我们通过多电子散射本征态的精确解研究了相互作用的开放量子点系统。首先，我们研究了用双铅相互作用共振能级模型描述的开放量子点系统的电子输运性质。我们所构造的多电子散射态并不是已知的Bethe本征态的形式，因为入射平面波的波数集在散射过程中不守恒，散射后出现了多体束缚态。通过将散射态应用于Landauer公式的推广，我们计算了在有限偏压下通过量子点的平均电流。考虑两体束缚态后得到的电流-电压特性与几个已知结果定性一致。其次，我们从理论上提出了通过双引线安德森模型描述的开放量子点系统产生纠缠。我们精确地得到了一个量子点的非纠缠入射态到另一个量子点的自旋单重态的跃迁速率。我们发现，在共隧穿散射过程中，只有自旋单重态可以传输。

项目成果

Analysis of the non-equilibrium current in an open quantum dot system through exact ma ny-body scattering eigenstates

通过精确的多体散射本征态分析开放量子点系统中的非平衡电流

• 发表时间: 2009
• 作者: 古家真之介;内田和之;岩田潤一;押山淳;Akinori Nishino
• 通讯作者: Akinori Nishino

Entangle ment generation through an open quantum dot

通过开放量子点产生纠缠

• 发表时间: 2009
• 期刊: Exact two-electro n scattering state in the Ander son model 80
• 作者: Takashi Imamura;Akinori Nishino;Naomichi Hatano
• 通讯作者: Naomichi Hatano

Entanglement generati on and nonequilibrium current i n an open quantum dot system wi th exact many-electron scatteri ng states

具有精确多电子散射态的开放量子点系统中的纠缠生成和非平衡电流

• 发表时间: 2009
• 作者: T. Koishi;K. Yasuoka;S. Fujikawa;T. Ebisuzaki;X.C. Zeng;Dan Tanaka;Noriki Terada;西野晃徳
• 通讯作者: 西野晃徳

Entanglement generation through an open quantum dot: Exact two-electron scattering state in the Anderson model

通过开放量子点产生纠缠：安德森模型中的精确双电子散射态

• 发表时间: 2009
• 作者: T. Imamura;A. Nishino;N. Hatano
• 通讯作者: N. Hatano

Exact scattering eigenstates, many-body bound states, and nonequilibrium current in an open quantum dot system.

• DOI: 10.1103/physrevlett.102.146803
• 发表时间: 2009-04
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: A. Nishino;T. Imamura;N. Hatano