Non-linear coupling between the two oscillation modes of a dc-SQUID

Details Non-linear coupling between the two oscillation modes of a dc-SQUID Non-linear coupling between the two oscillation modes of a dc-SQUID

2011-09-12

arxiv.org/abs/1109.2400v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

We make a detailed theoretical description of the two-dimensional nature of a dc-SQUID, analyzing the coupling between its two orthogonal phase oscillation modes. While it has been shown that the mode defined as "longitudinal" can be initialized, manipulated and measured, so as to encode a quantum bit of information, the mode defined as "transverse" is usually repelled at high frequency and does not interfere in the dynamics. We show that, using typical parameters of existing devices, the transverse mode energy can be made of the order of the longitudinal one. In this regime, we can observe a strong coupling between these modes, described by an Hamiltonian providing a wide range of interesting effects, such as conditional quantum operations and entanglement. This coupling also creates an atomic-like structure for the combined two mode states, with a V-like scheme.

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