16045000
Jet quenching in a strongly coupled anisotropic plasma
A bstractThe jet quenching parameter of an anisotropic plasma depends on the relative orientation between the anisotropic direction, the direction of motion of the parton, and the direction along which the momentum broadening is measured. We calculate the jet quenching parameter of an anisotropic, strongly coupled $ \mathcal{N} = 4 $ plasma by means of its gravity dual. We present the results for arbitrary orientations and arbitrary values of the anisotropy. The anisotropic value can be larger or smaller than the isotropic one, and this depends on whether the comparison is made at equal temperatures or at equal entropy densities. We compare our results to analogous calculations for the real-world quark-gluon plasma and find agreement in some cases and disagreement in others.
125820850
Transport in Anisotropic Superfluids: A Holographic Description
128009685
Exact solution of Dirac electron in graphene under SUSY generated magnetic fields
We use supersymmetry transformations to obtain new one parameter family of inhomogeneous magnetic fields B = B(x, λ)ez for which the massless Dirac electron possesses exact solution. The inhomogeneity appearing in B(x, λ) can be controlled by the parameter λ. The obtained magnetic fields are interpreted as deformed variants of some physically attainable well known magnetic fields. The particular example, when a constant magnetic field is deformed, is considered to show that equidistant Landau levels exist even in the presence of an infinite number of specially designed inhomogeneous magnetic fields.
10932190
Nonlocal SUSY deformations of periodic potentials
Irreducible 2-order Darboux transformations are applied to the periodic Schrödinger’s operators. It is shown that for the pairs of factorization energies inside of the same forbidden band they can create new non-singular potentials with periodicity defects and bound states embedded into the spectral gaps. The method is applied to the Lamé and periodic piece-wise transparent potentials. An interesting phenomenon of translational Darboux invariance reveals nonlocal aspects of the supersymmetric deformations. PACS: 03.65.Ge; 03.65.Fd; 03.65.Ca
115158038
Supersymmetric partners for the associated Lamé potentials
The general solution of the stationary Schrödinger equation for the associated Lamé potentials with an arbitrary real energy is found. The supersymmetric partners are generated by employing seed solutions for factorization energies inside the gaps.