Measurement scheme of the Berry phase in superconducting circuits

Abstract

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. The experimental realization of our scheme would be the first observation of the Berry phase in superconducting circuits.

19 pages, 5 figures

References in corpus (3)

• Geometric nature of the environment-induced Berry phase and geometric dephasing
• Connecting Berry's phase and the pumped charge in a Cooper pair pump
• Detection of Geometric Phases in Flux Qubits with Coherent Pulses

Cited by in corpus (12)

• Observation of Berry's Phase in a Solid State Qubit
• Experimental determination of the Berry phase in a superconducting charge pump
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• Decoherence of adiabatically steered quantum systems
• Non-abelian superconducting pumps
• The Cooper Pair Pump as a Quantized Current Source
• Quantum Stirring in low dimensional devices
• Pumping through a quantum dot in the proximity of a superconductor
• Topological quantization by controlled paths: application to Cooper pairs pumps
• Ground-state geometric quantum computing in superconducting systems
• Electrical measurement of a two-electron spin state in a double quantum dot
• Quantum dynamics and transport in a double well system