Measurements of the magnetic flux quantum, Planck constant, and elementary charge at VNIIM

Frantsuz, E T; Gorchakov, Yu. D.; Khavinson, V. M.

doi:10.1109/19.155911

Cited by 24 publications

(17 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The basic idea of the levitation method is that the electrical energy E el fed to the coil is converted to the energy of the magnetic field E mag and compared with the mechanical (gravitational potential) energy of the levitating object E pot [2,[15][16][17][18]:…”

Section: The Superconducting Magnetic Levitation Methodsmentioning

confidence: 99%

“…A simplified schematic diagram of a superconducting levitation system [17] is shown in figure 1. Technical details have been described elsewhere [15][16][17][18]. The applied constant current i in the coil is defined from the measurement of the voltage U c across a known resistance R ref with a digital voltmeter (DVM).…”

Section: The Superconducting Magnetic Levitation Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Mass determination with the magnetic levitation method—proposal for a new design of electromechanical system

Kajastie¹,

Riski²,

Satrapinski³

2009

Metrologia

View full text Add to dashboard Cite

The method for realization of the kilogram using 'superconducting magnetic levitation' was re-evaluated at MIKES. The realization of the kilogram based on the traditional levitation method is limited by the imperfections of the superconducting materials and the indefinable dependence between supplied electrical energy and the gravitational potential energy of the superconducting mass. This indefiniteness is proportional to the applied magnetic field and is caused by increasing losses and trapped magnetic fluxes. A new design of an electromechanical system for the levitation method is proposed. In the proposed system the required magnetic field and the corresponding force are reduced, as the mass of the body (hanging from a mass comparator) is compensated by the reference weight on the mass comparator. The direction of the magnetic force can be upward (levitation force, when the body is over the coil) or downward (repulsive force, when the body is under the coil). The initial force to move the body from the coil is not needed and magnetic field sensitivity is increased, providing linearization of displacement versus applied current. This new construction allows a lower magnetic induction, reduces energy losses compared with previous designs of electromechanical system and reduces the corresponding systematic error.

show abstract

Section: The Superconducting Magnetic Levitation Methodsmentioning

confidence: 99%

Section: The Superconducting Magnetic Levitation Methodsmentioning

confidence: 99%

Mass determination with the magnetic levitation method—proposal for a new design of electromechanical system

Kajastie¹,

Riski²,

Satrapinski³

2009

Metrologia

View full text Add to dashboard Cite

show abstract

“…The periodicity arises from a topological quantisation condition reached through an analysis of the Ginzburg-Landau Cooper pair wave function of the ring. This dependency of the flux quantum on h is highlighted by experiments that leverage this relationship in order to determine Planck's constant (see, for example, [23]). Hence, we arrive at an interesting situation.…”

Section: Introductionmentioning

confidence: 99%

On the correspondence principle: implications from a study of the nonlinear dynamics of a macroscopic quantum device

Everitt¹

2009

New J. Phys.

View full text Add to dashboard Cite

The recovery of classical non-linear and chaotic dynamics from quantum systems has long been a subject of interest. Furthermore, recent work indicates that quantum chaos may well be significant in quantum information processing. In this paper we discuss the quantum to classical crossover of a superconducting quantum interference device (SQUID) ring. Such devices comprise of a thick superconducting loop enclosing a Josephson weak link and are currently strong candidates for many applications in quantum technologies. The weak link brings with it a non-linearity such that semi-classical models of this system can exhibit non-linear and chaotic dynamics. For many similar systems an application of the correspondence principle together with the inclusion of environmental degrees of freedom through a quantum trajectories approach can be used to effectively recover classical dynamics. Here we show (i) that the standard expression of the correspondence principle is incompatible with the ring Hamiltonian and we present a more pragmatic and general expression which finds application here and (ii) that practical limitations to circuit parameters of the SQUID ring prevent arbitrarily accurate recovery of classical non-linear dynamics.

show abstract

“…The periodicity arises from a topological quantization condition reached through an analysis of the Ginzburg-Landau Cooper pair wave function of the ring. This dependency of the flux quantum on h is highlighted by experiments that leverage this relationship in order to determine Planck's constant (see, for example, [23]). Hence, we arrive at an interesting situation.…”

Section: Introductionmentioning

confidence: 99%

Fission and chain decay of uranium

Zel’dovich¹,

Khariton²

1993

Phys.-Usp.

View full text Add to dashboard Cite

The recovery of classical nonlinear and chaotic dynamics from quantum systems has long been a subject of interest. Furthermore, recent work indicates that quantum chaos may well be significant in quantum information processing. In this paper, we discuss the quantum to classical crossover of a superconducting quantum interference device (SQUID) ring. Such devices comprise a thick superconducting loop enclosing a Josephson weak link and are currently strong candidates for many applications in quantum technologies. The weak link brings with it a nonlinearity such that semiclassical models of this system can exhibit nonlinear and chaotic dynamics. For many similar systems an application of the correspondence principle together with the inclusion of environmental degrees of freedom through a quantum trajectories approach can be used to effectively recover classical dynamics. Here we show (i) that the standard expression of the correspondence principle is incompatible with the ring Hamiltonian and we present a more pragmatic and general expression which finds application here and (ii) that practical limitations to circuit parameters of the SQUID ring prevent arbitrarily accurate recovery of classical nonlinear dynamics.

show abstract

Measurements of the magnetic flux quantum, Planck constant, and elementary charge at VNIIM

Cited by 24 publications

References 4 publications

Mass determination with the magnetic levitation method—proposal for a new design of electromechanical system

Mass determination with the magnetic levitation method—proposal for a new design of electromechanical system

On the correspondence principle: implications from a study of the nonlinear dynamics of a macroscopic quantum device

Fission and chain decay of uranium

Contact Info

Product

Resources

About