Superconducting charge qubits from a microscopic many-body perspective

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

2007-09-21

arxiv.org/abs/0709.3460v1

J. Phys.: Condens. Matter 19 (2007) 436211.

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Accepted for J Phys Condensed Matter

Scientific paper

10.1088/0953-8984/19/43/436211

The quantised Josephson junction equation that underpins the behaviour of charge qubits and other tunnel devices is usually derived through cannonical quantisation 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 quantised 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.

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