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We present the first measurements of the Berry phase in a superconducting Cooper pair pump. A fixed amount of Berry phase is accumulated to the quantum-mechanical ground state in each adiabatic pumping cycle, which is determined by…

Superconductivity · Physics 2009-11-13 Mikko Mottonen , Juha J. Vartiainen , Jukka P. Pekola

The properties of the tunnelling-charging Hamiltonian of a Cooper pair pump are well understood in the regime of weak and intermediate Josephson coupling, i.e. when $E_{\mathrm{J}}\lesssim E_{\mathrm{C}}$. It is also known that Berry's…

Superconductivity · Physics 2007-05-23 M. Aunola , J. J. Toppari

With a counter-diabatic field supplemented to the reference control field, the `shortcut to adiabaticiy' (STA) protocol is implemented in a superconducting phase qubit. The Berry phase measured in a short time scale is in good agreement…

Quantum Physics · Physics 2017-05-24 Zhenxing Zhang , Tenghui Wang , Liang Xiang , Jiadong Yao , Jianlan Wu , Yi Yin

We introduce a model for a flux-assisted Cooper-pair pump, the sluice, which is used to study geometric charge transport. Our model allows for a nonvanishing loop inductance going beyond the usual treatment with an exact phase bias. We…

Quantum Physics · Physics 2012-11-21 J. Salmilehto , M. Möttönen

We demonstrate controlled pumping of Cooper pairs down to the level of a single pair per cycle, using an rf-driven Cooper-pair sluice. We also investigate the breakdown of the adiabatic dynamics in two different ways. By transferring many…

Mesoscale and Nanoscale Physics · Physics 2012-08-15 S. Gasparinetti , P. Solinas , Y. Yoon , J. P. Pekola

We have employed a tunable Cooper-pair transistor, the sluice, with radio frequency control to pump current over a resistive circuit. We find that the charge transferred per pumping cycle can be controlled with the resolution of a single…

Superconductivity · Physics 2007-05-23 Juha J. Vartiainen , Mikko Mottonen , Jukka Pekola , Antti Kemppinen

We study adiabatic charge transfer in a superconducting Cooper pair pump, focusing on the influence of current measurement on coherence. We investigate the limit where the Josephson coupling energy $E_J$ between the various parts of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Rosario Fazio , F. W. J. Hekking , J. P. Pekola

We present a formalism to study adiabatic pumping through a superconductor - normal - superconductor weak link. At zero temperature, the pumped charge is related to the Berry phase accumulated, in a pumping cycle, by the Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Governale , F. Taddei , F. W. J. Hekking , Rosario Fazio

In adiabatic Cooper pair pumps, operated by means of gate voltage modulation only, the quantization of the pumped charge during a cycle is limited due to the quantum coherence of the macroscopic superconducting wave function. In this work…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Shabnam Safaei , Simone Montangero , Fabio Taddei , Rosario Fazio

We present a study of adiabatic Cooper pair pumping in one dimensional array of Cooper pair boxes. We do a detailed theoretical analysis of an experimentally realizable stabilized charge pumping scheme in a linear array of Cooper pair…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sujit Sarkar

We introduce and discuss a scheme for Cooper-pair pumping. The scheme relies on the coherent transfer of a superposition of charge states across a superconducting island and is realized by adiabatic manipulation of magnetic fluxes.…

Superconductivity · Physics 2012-12-18 S. Gasparinetti , I. Kamleitner

We study a classical two-state stochastic system in a sea of substrates and products (absorbing states), which can be interpreted as a single Michaelis-Menten catalyzing enzyme or as a channel on a cell surface. We introduce a novel general…

Quantitative Methods · Quantitative Biology 2009-11-13 N. A. Sinitsyn , Ilya Nemenman

We have experimentally demonstrated pumping of Cooper pairs in a single-island mesoscopic structure. The island was connected to leads through SQUID (Superconducting Quantum Interference Device) loops. Synchronized flux and voltage signals…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Antti O. Niskanen , Jani M. Kivioja , H. Seppa , Jukka P. Pekola

A microscopic theory of superfluid drag in a two-component Bose gas is developed. The drag factor is shown to be proportional to the square root of the gas parameter. Basing on the similarity between the drag force and vector potential of…

Soft Condensed Matter · Physics 2019-12-10 D. V. Fil , S. I. Shevchenko

The Berry phase is a geometric phase acquired during adiabatic evolution over a closed loop in parameter space. It plays an essential role in geometric quantum gates and other phase-based protocols. In non-Hermitian systems, the Berry phase…

Quantum Physics · Physics 2026-05-19 Pratik J. Barge , Qian Cao , Niklas Hörnedal , Aurélia Chenu , Kater W. Murch

We analyze theoretically adiabatic quantum pumping through a normal conductor that couples the normal regions of two superconductor/normal metal/superconductor Josephson junctions. By using the phases of the superconducting order parameter…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Russo , J. Tobiska , T. M. Klapwijk , A. F. Morpurgo

We introduce a method where successive coordinate transformations are applied to decrease the error in the adiabatic master equation resulting from truncation in the local adiabatic parameter. Our method reduces the nonphysical behaviour…

Superconductivity · Physics 2011-12-22 Juha Salmilehto , Mikko Möttönen

The new superconductivity theory that attributes the $U(1)$ superconductivity phase to a Berry phase arising from many-body wave functions is applied to the circuit quantization for superconducting qubits. The phase-charge duality required…

Superconductivity · Physics 2021-08-16 Hiroyasu Koizumi

Motivated by recent experiments on quantum mechanical charge pumping in a Cooper pair sluice, we present a measurement scheme for observing shifts of transition frequencies in two-level quantum systems induced by broadband environmental…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 V. Gramich , P. Solinas , M. Möttönen , J. P. Pekola , J. Ankerhold

Cooper pair pumping is a coherent process. We derive a general expression for the adiabatic pumped charge in superconducting nanocircuits in the presence of level degeneracy and relate it to non-Abelian holonomies of Wilczek and Zee. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Valentina Brosco , Rosario Fazio , F. W. J. Hekking , Alain Joye
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