Quantum Transport in Interacting Nanojunctions: A Density Matrix Approach
暫譯: 互動奈米接頭中的量子傳輸:密度矩陣方法

Donarini, Andrea, Grifoni, Milena

  • 出版商: Springer
  • 出版日期: 2024-08-13
  • 售價: $4,090
  • 貴賓價: 9.5$3,886
  • 語言: 英文
  • 頁數: 574
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031556186
  • ISBN-13: 9783031556180
  • 相關分類: 量子 Quantum
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This book serves as an introduction to the growing field of quantum many-body transport in interacting nanojunctions. It delves into a theoretical approach based on a general density-matrix formulation for open quantum systems. In the book, relevant transport observables, like the current or its higher order cumulants, are obtained by evaluating quantum statistical averages. This approach requires the knowledge of the reduced density matrix of the interacting nanosystems.

The formulation for addressing transport problems, based on the evolution of the reduced density operator in Liouville space, is highly versatile. It enables the treatment of charge and spin transport across various realistic nanostructures. Topics encompass standard Coulomb blockade, cotunneling phenomena in quantum dots, vibrational and Franck-Condon effects in molecular junctions, as well as many-body interference observed in double quantum dots or carbon nanotubes.

Derived from lectures tailored for graduate and advanced students at the University of Regensburg in Germany, this book is enriched with exercises and step-by-step derivations.

商品描述(中文翻譯)

這本書作為介紹量子多體傳輸在互動納米接頭中日益增長的領域。它深入探討了一種基於開放量子系統的一般密度矩陣公式的理論方法。在書中,相關的傳輸可觀測量,如電流或其高階累積量,是通過評估量子統計平均值來獲得的。這種方法需要了解互動納米系統的約化密度矩陣。

基於在李維爾空間中約化密度算子的演化來解決傳輸問題的公式非常靈活。它使得能夠處理各種現實納米結構中的電荷和自旋傳輸。主題涵蓋標準的庫倫阻塞、量子點中的共隧穿現象、分子接頭中的振動和法蘭克-康登效應,以及在雙量子點或碳納米管中觀察到的多體干涉。

這本書源自德國雷根斯堡大學為研究生和高級學生量身定制的講座,並且充滿了練習題和逐步推導的內容。

作者簡介

Andrea Donarini is an apl. professor within the Quantum Transport and Spintronics chair at the University of Regensburg (Germany), where he teaches and conducts research in the field of quantum transport at the nanoscale. He graduated from the University of Milan (Italy) before earning his PhD in Physics at the Technical University of Denmark (Lyngby). Since then, he has advanced his career at the University of Regensburg, being appointed an apl. Professor in 2020. Prof. Donarini's research primarily focuses on the transport characteristics of complex interacting nanojunctions. Specifically, he has explored various aspects of the interplay between interference and interaction in single molecule junctions and quantum dot structures. His quest to identify markers of many-body interference phenomena, both in current and noise, has led him to investigate single electron transistors, STM single molecule junctions, nanoelectromechanical systems, and most recently, lightwave-STM junctions.

Milena Grifoni is a professor of Theoretical Physics at the University of Regensburg (Germany), where she leads a research group studying non-equilibrium properties of open quantum systems. She obtained her Master's degree and PhD at the University of Genoa (Italy). Following a post-doctoral phase in Germany, she became a permanent staff member at the Technical University of Delft (The Netherlands). In 2003, she assumed a chair for theoretical physics in Regensburg. Prof. Grifoni's work has predominantly focused on the dynamical and stationary properties of open quantum systems. This includes investigating dissipative properties of quantum particles interacting with bosonic thermal reservoirs, as well as electronic transport in non-equilibrium fermionic environments. She is recognized for influential contributions to the driven spin-boson problem, which have found recent applications in superconducting qubit platforms. Additionally, her studies on the non-equilibrium Kondo effect and other many-body phenomena in carbon nanotubes, molecules, and other low-dimensional systems have made significant contributions to the field.

作者簡介(中文翻譯)

安德烈亞·多納里尼是德國雷根斯堡大學量子傳輸與自旋電子學講座的副教授,他在該校教授並進行納米尺度量子傳輸領域的研究。他畢業於意大利米蘭大學,隨後在丹麥技術大學(林比)獲得物理學博士學位。自那時起,他在雷根斯堡大學發展了自己的職業生涯,並於2020年被任命為副教授。多納里尼教授的研究主要集中在複雜相互作用納米接頭的傳輸特性上。具體而言,他探討了單分子接頭和量子點結構中干涉與相互作用之間的相互作用的各個方面。他尋求識別多體干涉現象的標記,包括電流和噪聲,這使他研究了單電子晶體管、掃描隧道顯微鏡(STM)單分子接頭、納米電機系統,以及最近的光波-STM接頭。

米蓮娜·格里佛尼是德國雷根斯堡大學的理論物理學教授,她領導一個研究小組,研究開放量子系統的非平衡性質。她在意大利熱那亞大學獲得碩士學位和博士學位。隨後在德國完成博士後研究後,她成為荷蘭代爾夫特技術大學的永久教職員。2003年,她在雷根斯堡擔任理論物理學講座。格里佛尼教授的工作主要集中在開放量子系統的動態和穩態性質上。這包括研究與玻色熱庫相互作用的量子粒子的耗散性質,以及在非平衡費米環境中的電子傳輸。她因對驅動自旋-玻色子問題的影響性貢獻而受到認可,這些貢獻最近在超導量子比特平台中得到了應用。此外,她對非平衡近藤效應及其他多體現象在碳納米管、分子和其他低維系統中的研究也對該領域做出了重要貢獻。