Stabilized Parametric Cooper-Pair Pumping in a Linear Array of Coupled Josephson Junctions

Cholascinski, Mateusz; Chhajlany, Ravindra W.

doi:10.1103/physrevlett.98.127001

Cited by 14 publications

(25 citation statements)

References 13 publications

(12 reference statements)

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“…The authors of Ref. 20 have given the experimental proposal of this adiabatic CPP for which we provide a theoretical foundation based on rigorous analytical derivation. Their system consists of N CPBs.…”

Section: Model Hamiltonians and Continuum Field Theoretical Studymentioning

confidence: 99%

“…This figure is nothing but a collection of tunable Josephson couplings and the electrostatic potential of superconducting island in a CPB. [20][21][22] The relevant quantum degree of freedom of CPB is the charge of the Cooper pair of that island. As the system also at the Coulomb blocked regime ͑E c ӷ E J0 ͒, the authors of Ref.…”

Section: Model Hamiltonians and Continuum Field Theoretical Studymentioning

confidence: 99%

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Adiabatic Cooper-pair pumping in a linear array of Cooper-pair boxes

Sarkar

2009

Phys. Rev. B

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We present a detailed theoretical study of adiabatic Cooper-pair pumping in a one-dimensional array of Cooper-pair boxes and discuss its experimental feasibility. The Josephson tunneling and the gate voltage are two adiabatic couplings of our system. Using the concept of Berry phase and Abelian bosonization, we show that the evolution of the ground state follows a closed loop in the flux-voltage plane. Its adiabatic motion yields the Cooper-pair pumping in the system. We find the condition for blocking the Cooper-pair pumping even in the perfect pumping condition.

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Section: Model Hamiltonians and Continuum Field Theoretical Studymentioning

confidence: 99%

Section: Model Hamiltonians and Continuum Field Theoretical Studymentioning

confidence: 99%

Adiabatic Cooper-pair pumping in a linear array of Cooper-pair boxes

Sarkar

2009

Phys. Rev. B

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“…Some works have been done to achieve more accurate pumping in adiabatic regime by optimizing the design of the pump 18,22,30 . In this paper we follow a different approach.…”

Section: Introductionmentioning

confidence: 99%

Optimized Cooper pair pumps

et al. 2008

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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 we show that it is possible to obtain very accurate pumps in the non-adiabatic regime by a suitable choice of the shape of the gate voltage pulses. We determine the shape of these pulses by applying quantum optimal control theory to this problem. In the optimal case the error, with respect to the quantized value, can be as small as of the order of 10 −6 e: the error is reduced by up to five orders of magnitude with respect to the adiabatic pumping. In order to test the experimental feasibility of this approach we consider the effect of charge noise and the deformations of the optimal pulse shapes on the accuracy of the pump. Charge noise is assumed to be induced by random background charges in the substrate, responsible for the observed 1/f noise. Inaccuracies in the pulse shaping are described by assuming a finite bandwidth for the pulse generator. In realistic cases the error increases at most of one order of magnitude as compared to the optimal case. Our results are promising for the realization of accurate and fast superconducting pumps.

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“…Sine-Gordon (SG) model is an important nonlinear integrable field model, which along with its theoretical richness has a wide range of applications in different fields [1,2,3,4,5,6,7,8,9]. Apart from possessing all fascinating properties of classical integrable systems the SG model exhibits special properties, like relativistic invariance, integer-valued topological charge represented by solutions like kink, antikink, breather etc.…”

Section: Introductionmentioning

confidence: 99%

Changing Solitons in Classical & Quantum Integrable Defect and Variable Mass Sine-Gordon Model

Kundu¹

2008

JNMP

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Sine-Gordon (SG) models with position dependent mass or with isolated defects appear in many physical situations, ranging from fluxon or semi-fluxon in nonuniform Josephson junction to spin-waves in quantum spin chain with variable coupling or DNA solitons in the active promoter region. However such phenomena usually break the integrability of the model, allowing only numerical or perturbative result. We investigate two types of inhomogeneous sine-Gordon (SG) models: one with a variable mass and the other with a defect at the center and show integrability of both these models, in classical as well as in exact quantum level. The variable mass SG exhibits accelerating and shape changing exact solitons and can describe realistic problems at certain limits, while the defect SG possesses a rich class of exact solutions with creation or annihilation of solitons by the defect point. Based on our result theories for exact semi-fluxion solution in 0 − π-Josephson junction is proposed.

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Stabilized Parametric Cooper-Pair Pumping in a Linear Array of Coupled Josephson Junctions

Cited by 14 publications

References 13 publications

Adiabatic Cooper-pair pumping in a linear array of Cooper-pair boxes

Adiabatic Cooper-pair pumping in a linear array of Cooper-pair boxes

Optimized Cooper pair pumps

Changing Solitons in Classical & Quantum Integrable Defect and Variable Mass Sine-Gordon Model

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