The Berry-Phase applied to optical Metrology

Arthur L. Robinson

Paul Mandel, P. Galatola, L. A. Lugiato +1 more

Sarbani Chatterjee

Nian-Hua Liu

We study the modulation of Pancharatnam-Berry phase by lonexugitudinal electro-optical modulator which is an uniaxial crystal inserted into Sagnac interferometer.Because the difference of optical paths between clockwise and anticlockwise loop is zero,under the condition of zero-phase-difference related to the optical paths,the Pancharatnam-Berry phase between clockwise and anticlockwise loop can be distinguished more favorably.The results show that when the applied voltage vary continuously,the Pancharatnam-Berry phase jumps twice due to the characteristics of uniaxial crystal,while the coherent superposition intensity vary continuously.

Mikko Möttönen, Jukka P Pekola, Juha J. Vartiainen +2 more

We present a measurement scheme for observing the Berry phase in a flux assisted Cooper pair pump---the Cooper pair sluice. In contrast to the recent experiments, in which the sluice was employed to generate accurate current through a resistance, we consider a device in a superconducting loop. This arrangement introduces a connection between the pumped current and the Berry phase accumulated during the adiabatic pumping cycles. From the adiabaticity criterion, we derive equations for the maximum pumped current and optimize the sluice accordingly. These results apply also to the high accuracy pumping which results in a potential candidate for a metrological current standard. For measuring the pumped current, an additional Josephson junction is installed into the superconducting loop. We show in detail that the switching of this system from superconducting state into normal state as a consequence of an external current pulse through it may be employed to probe the pumped current. To our knowledge the experimental realization of our scheme would be the first observation of the Berry phase in superconducting circuits.

A. P. Alodjants, Dmitriy V. Tsarev, Dmitry Kuts +2 more