Modeling of quantum nanomechanics

Antti-Pekka Jauho; Tomas Novotny; Andrea Donarini; Christian Flindt

doi:10.1109/IWCE.2004.1407327

Modeling of quantum nanomechanics

Antti-Pekka Jauho
, Tomas Novotny
, Andrea Donarini
, Christian Flindt

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

394 Downloads (Orbit)

Abstract

Microelectromechanical systems (MEMS) are approaching the nanoscale, which ultimately implies that the mechanical motion needs to be treated quantum mechanically. In recent years our group has developed theoretical methods to analyze the shuttle transition in the quantum regime (Novotny, 2004), focusing not only in the IV-curve, but also considering noise, which is an important diagnostic tool in unraveling the microscopic transport mechanisms. Our theoretical analysis is based on a numerical solution of a generalized master equation (GME) for the density matrix. This equation is obtained by tracing the Liouville equation over the bath degrees of freedom (i.e., the free fermions of the electronic contacts, and the damping of the mechanical degree of freedom due to a bosonic environment).

Original language	English
Title of host publication	10th International Workshop on Computational Electronics, 2004. IWCE-10 2004. Abstracts.
Publisher	IEEE
Publication date	2004
ISBN (Print)	0-7803-8649-3
DOIs	https://doi.org/10.1109/IWCE.2004.1407327
Publication status	Published - 2004
Event	10th International Workshop on Computational Electronics - Purdue University, Wast Lafayette, IN, United States Duration: 24 Oct 2004 → 27 Oct 2004 Conference number: 10

Conference

Conference	10th International Workshop on Computational Electronics
Number	10
Location	Purdue University
Country/Territory	United States
City	Wast Lafayette, IN
Period	24/10/2004 → 27/10/2004

Bibliographical note

Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Access to Document

10.1109/IWCE.2004.1407327

JauhoFinal published version, 116 KB

OpenUrl availability

Check availability in DTU Findit

Cite this

@inproceedings{9cb64567161c47abb3c347cfb6fb4ff3,

title = "Modeling of quantum nanomechanics",

abstract = "Microelectromechanical systems (MEMS) are approaching the nanoscale, which ultimately implies that the mechanical motion needs to be treated quantum mechanically. In recent years our group has developed theoretical methods to analyze the shuttle transition in the quantum regime (Novotny, 2004), focusing not only in the IV-curve, but also considering noise, which is an important diagnostic tool in unraveling the microscopic transport mechanisms. Our theoretical analysis is based on a numerical solution of a generalized master equation (GME) for the density matrix. This equation is obtained by tracing the Liouville equation over the bath degrees of freedom (i.e., the free fermions of the electronic contacts, and the damping of the mechanical degree of freedom due to a bosonic environment).",

author = "Antti-Pekka Jauho and Tomas Novotny and Andrea Donarini and Christian Flindt",

note = "Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE; 10th International Workshop on Computational Electronics, IWCE-10 ; Conference date: 24-10-2004 Through 27-10-2004",

year = "2004",

doi = "10.1109/IWCE.2004.1407327",

language = "English",

isbn = "0-7803-8649-3",

booktitle = "10th International Workshop on Computational Electronics, 2004. IWCE-10 2004. Abstracts.",

publisher = "IEEE",

address = "United States",

}

TY - GEN

T1 - Modeling of quantum nanomechanics

AU - Jauho, Antti-Pekka

AU - Novotny, Tomas

AU - Donarini, Andrea

AU - Flindt, Christian

N1 - Conference code: 10

PY - 2004

Y1 - 2004

N2 - Microelectromechanical systems (MEMS) are approaching the nanoscale, which ultimately implies that the mechanical motion needs to be treated quantum mechanically. In recent years our group has developed theoretical methods to analyze the shuttle transition in the quantum regime (Novotny, 2004), focusing not only in the IV-curve, but also considering noise, which is an important diagnostic tool in unraveling the microscopic transport mechanisms. Our theoretical analysis is based on a numerical solution of a generalized master equation (GME) for the density matrix. This equation is obtained by tracing the Liouville equation over the bath degrees of freedom (i.e., the free fermions of the electronic contacts, and the damping of the mechanical degree of freedom due to a bosonic environment).

AB - Microelectromechanical systems (MEMS) are approaching the nanoscale, which ultimately implies that the mechanical motion needs to be treated quantum mechanically. In recent years our group has developed theoretical methods to analyze the shuttle transition in the quantum regime (Novotny, 2004), focusing not only in the IV-curve, but also considering noise, which is an important diagnostic tool in unraveling the microscopic transport mechanisms. Our theoretical analysis is based on a numerical solution of a generalized master equation (GME) for the density matrix. This equation is obtained by tracing the Liouville equation over the bath degrees of freedom (i.e., the free fermions of the electronic contacts, and the damping of the mechanical degree of freedom due to a bosonic environment).

U2 - 10.1109/IWCE.2004.1407327

DO - 10.1109/IWCE.2004.1407327

M3 - Article in proceedings

SN - 0-7803-8649-3

BT - 10th International Workshop on Computational Electronics, 2004. IWCE-10 2004. Abstracts.

PB - IEEE

T2 - 10th International Workshop on Computational Electronics

Y2 - 24 October 2004 through 27 October 2004

ER -

Modeling of quantum nanomechanics

Abstract

Conference

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this