Superconducting charge qubits from a microscopic many-body perspective

D. A. Rodrigues; T. P. Spiller; J. F. Annett; B. L. Györffy

doi:10.1088/0953-8984/19/43/436211

Superconducting charge qubits from a microscopic many-body perspective

D. A. Rodrigues^*, T. P. Spiller, J. F. Annett, B. L. Györffy

^*Corresponding author for this work

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The quantized Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through canonical quantization of the classical macroscopic Josephson relations. However, this approach may neglect effects due to the fact that the charge qubit consists of a superconducting island of finite size connected to a large superconductor. We show that the well-known quantized Josephson equation can be derived directly and simply from a microscopic many-body Hamiltonian. By choosing the appropriate strong-coupling limit we produce a highly simplified Hamiltonian that nevertheless allows us to go beyond the mean-field limit and predict further finite-size terms in addition to the basic equation.

Original language	English
Article number	436211
Journal	Journal of physics : Condensed matter
Volume	19
Issue number	43
DOIs	https://doi.org/10.1088/0953-8984/19/43/436211
Publication status	Published - 31 Oct 2007

Access to Document

10.1088/0953-8984/19/43/436211

Cite this

@article{773c5e042b164fa8805dbc82d2cf3af1,

title = "Superconducting charge qubits from a microscopic many-body perspective",

abstract = "The quantized Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through canonical quantization of the classical macroscopic Josephson relations. However, this approach may neglect effects due to the fact that the charge qubit consists of a superconducting island of finite size connected to a large superconductor. We show that the well-known quantized Josephson equation can be derived directly and simply from a microscopic many-body Hamiltonian. By choosing the appropriate strong-coupling limit we produce a highly simplified Hamiltonian that nevertheless allows us to go beyond the mean-field limit and predict further finite-size terms in addition to the basic equation.",

author = "Rodrigues, {D. A.} and Spiller, {T. P.} and Annett, {J. F.} and Gy{\"o}rffy, {B. L.}",

year = "2007",

month = oct,

day = "31",

doi = "10.1088/0953-8984/19/43/436211",

language = "English",

volume = "19",

journal = "Journal of physics : Condensed matter",

issn = "0953-8984",

publisher = "IOP Publishing",

number = "43",

}

TY - JOUR

T1 - Superconducting charge qubits from a microscopic many-body perspective

AU - Rodrigues, D. A.

AU - Spiller, T. P.

AU - Annett, J. F.

AU - Györffy, B. L.

PY - 2007/10/31

Y1 - 2007/10/31

N2 - The quantized Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through canonical quantization of the classical macroscopic Josephson relations. However, this approach may neglect effects due to the fact that the charge qubit consists of a superconducting island of finite size connected to a large superconductor. We show that the well-known quantized Josephson equation can be derived directly and simply from a microscopic many-body Hamiltonian. By choosing the appropriate strong-coupling limit we produce a highly simplified Hamiltonian that nevertheless allows us to go beyond the mean-field limit and predict further finite-size terms in addition to the basic equation.

AB - The quantized Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through canonical quantization of the classical macroscopic Josephson relations. However, this approach may neglect effects due to the fact that the charge qubit consists of a superconducting island of finite size connected to a large superconductor. We show that the well-known quantized Josephson equation can be derived directly and simply from a microscopic many-body Hamiltonian. By choosing the appropriate strong-coupling limit we produce a highly simplified Hamiltonian that nevertheless allows us to go beyond the mean-field limit and predict further finite-size terms in addition to the basic equation.

UR - http://www.scopus.com/inward/record.url?scp=35348820580&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/19/43/436211

DO - 10.1088/0953-8984/19/43/436211

M3 - Article

AN - SCOPUS:35348820580

SN - 0953-8984

VL - 19

JO - Journal of physics : Condensed matter

JF - Journal of physics : Condensed matter

IS - 43

M1 - 436211

ER -

Superconducting charge qubits from a microscopic many-body perspective

Abstract

Access to Document

Other files and links

Cite this