5 research outputs found
Higher order Josephson effects
Gaussian linking of superconducting loops containing Josephson junctions with
enclosed magnetic fields give rise to interference shifts in the phase that
modulates the current carried through the loop, proportional to the magnitude
of the enclosed flux. We generalize these results to higher order linking of a
superconducting loop with several magnetic solenoids, and show there may be
interference shifts proportional to the product of two or more fluxes.Comment: 8 pages, 2 figure
SLOCC determinant invariants of order 2^{n/2} for even n qubits
In this paper, we study SLOCC determinant invariants of order 2^{n/2} for any
even n qubits which satisfy the SLOCC determinant equations. The determinant
invariants can be constructed by a simple method and the set of all these
determinant invariants is complete with respect to permutations of qubits.
SLOCC entanglement classification can be achieved via the vanishing or not of
the determinant invariants. We exemplify the method for several even number of
qubits, with an emphasis on six qubits.Comment: J. Phys. A: Math. Theor. 45 (2012) 07530
Knotty inflation and the dimensionality of spacetime
We suggest a structure for the vacuum comprised
of a network of tightly knotted/linked flux tubes formed in a QCD-like cosmological phase transition and show that such a network can drive cosmological inflation. As the network can be topologically stable only in three space dimensions, this scenario provides a dynamical explanation for the existence of exactly three large spatial dimensions in our Universe