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We investigate a superconducting single-electron transistor capacitively coupled to a nanomechanical oscillator and focus on the double Josephson quasiparticle resonance. The existence of two coherent Cooper pair tunneling events is shown…

Mesoscale and Nanoscale Physics · Physics 2009-05-05 V. Koerting , T. L. Schmidt , C. B. Doiron , B. Trauzettel , C. Bruder

We consider adiabatic quantum pumping through a resonant level model, a single-level quantum dot connected to two fermionic leads. Using the tools of adiabatic expansion, we develop a self-contained thermodynamic description of this model…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Daniele Nello , Alessandro Silva

In this paper, we consider a system consisting of two capacitively coupled superconducting islands via Josephson junctions. We show that it can be reduced to two coupling harmonic oscillators under certain conditions, and solved exactly in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mou Yang , Le-Man Kuang

Adiabatic pumping is a fundamental concept in the time-dependent transport of mesoscopic devices. To maximize pumping performance, i.e., the amount of pumping per unit time, it is necessary to carefully manage the driving speed, which…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Masahiro Hasegawa , Takeo Kato

We consider ballistic SQUIDs with spin filtering inside half-metallic ferromagnetic arms. A singlet Cooper pair cannot pass through an arm in this case, so the Josephson current is entirely due to the Cooper pair splitting, with two…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 P. L. Stroganov , Ya. V. Fominov

We study superadiabatic quantum control of a three-level quantum system whose energy spectrum exhibits multiple avoided crossings. In particular, we investigate the possibility of treating the full control task in terms of independent…

Quantum Physics · Physics 2017-08-02 Marcus Theisen , Francesco Petiziol , Stefano Carretta , Paolo Santini , Sandro Wimberger

We implement a classical counterpart of a scalable design for adiabatic quantum computation. The key element of this design is a coupler providing controllable coupling between two bistable elements (in our case superconducting rings with a…

We study a superconducting single-charge transistor, where the coherence of Cooper pair tunneling is destroyed by the coupling to a tunable dissipative environment. Sequential tunneling and cotunneling processes are analyzed to construct…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Frank K. Wilhelm , Gerd Schoen , Gergely T. Zimanyi

A model for high temperature superconductors based on the idea of Cooper pairs comprised of electrons from different bands is studied. We propose that the two bands relevant for the cuprates are comprised of Cu dx2-y2, dz2, planar O psigma,…

Superconductivity · Physics 2009-10-30 Jamil Tahir-Kheli

Fluxons in a superconducting loop can be coherently coupled by quantum phase slips occurring at a weak link such as a Josephson junction. If Cooper pair tunneling at the junction occurs through a resonant level, $2\pi$ quantum phase slips…

Mesoscale and Nanoscale Physics · Physics 2024-08-14 T. Vakhtel , P. D. Kurilovich , M. Pita-Vidal , A. Bargerbos , V. Fatemi , B. van Heck

Hybrid quantum dot-oscillator systems have become attractive platforms to inspect quantum coherence effects at the nanoscale. Here, we investigate a Cooper-pair splitter setup consisting of two quantum dots, each linearly coupled to a local…

Mesoscale and Nanoscale Physics · Physics 2019-11-14 Mattia Mantovani , Wolfgang Belzig , Gianluca Rastelli , Robert Hussein

Using a quantum noise approach, we discuss the physics of both normal metal and superconducting single electron transistors (SET) coupled to mechanical resonators. Particular attention is paid to the regime where transport occurs via…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. A. Clerk , S. Bennett

The charge transported when a quantum pump is adiabatically driven by time-dependent external forces in presence of dissipation is given by the line integral of a pumping field $\mathbf{F}$. We give a general expression of $\mathbf{F}$ in…

Quantum Physics · Physics 2014-09-29 Juzar Thingna , Peter Hänggi , Rosario Fazio , Michele Campisi

We study the distinctive features of the phase pumping effect in Josephson transport through a three-layered ferromagnet F$_1$/F/F$_2$ with non-coplanar magnetization. Using Gor'kov and Bogoliubov-de Gennes formalisms we go beyond the…

Superconductivity · Physics 2023-11-28 A. A. Kopasov , Zh. Devizorova , H. Meng , S. V. Mironov , A. S. Mel'nikov , A. I. Buzdin

Cooper pair splitters hold utility as a platform for investigating the entanglement of electrons in Cooper pairs, but probing splitters with voltage-biased Ohmic contacts prevents the retention of electrons from split pairs since they can…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Damaz de Jong , Christian G. Prosko , Lin Han , Filip K. Malinowski , Yu Liu , Leo P. Kouwenhoven , Wolfgang Pfaff

We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current…

Mathematical Physics · Physics 2007-05-23 J. E. Avron , A. Elgart , G. M. Graf , L. Sadun , K. Schnee

Controlled charge pumping in an AlGaAs/GaAs gated nanowire by single-parameter modulation is studied experimentally and theoretically. Transfer of integral multiples of the elementary charge per modulation cycle is clearly demonstrated. A…

Mesoscale and Nanoscale Physics · Physics 2008-04-15 B. Kaestner , V. Kashcheyevs , S. Amakawa , L. Li , M. D. Blumenthal , T. J. B. M. Janssen , G. Hein , K. Pierz , T. Weimann , U. Siegner , H. W. Schumacher

We charge an individual donor with electrons stored in a quantum dot in its proximity. A Silicon quantum device containing a single Arsenic donor and an electrostatic quantum dot in parallel is realized in a nanometric field effect…

Quantum Physics · Physics 2015-05-19 Enrico Prati , Matteo Belli , Simone Cocco , Guido Petretto , Marco Fanciulli

We study the adiabatic pumping of the Chern-Simons axion (CSA) coupling along a parametric loop characterized by a non-zero second Chern number $C^{(2)}$ from the viewpoint of the hybrid Wannier representation, in which the Wannier charge…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Maryam Taherinejad , David Vanderbilt

We obtain a complete solution for the mean-field dynamics of the BCS paired state with a large, but finite number of Cooper pairs in the non-adiabatic regime. We show that the problem reduces to a classical integrable Hamiltonian system and…

Superconductivity · Physics 2009-11-11 Emil A. Yuzbashyan , Boris L. Altshuler , Vadim B. Kuznetsov , Victor Z. Enolskii