A gauge field governing parallel transport along mixed states

Stable states in the radiant heat transfer of the near field for two parallel slabs

In this paper, we study the dynamics of the radiative heat transfer of between two slabs. In these systems, depending on the type of slabs and the thermal interaction they have with their surroundings, they can have one or several stable states in the phase space. It can be seen that in these systems, quantities such as distance and thickness affect the states of these systems. We show that the...

Topologically robust transport of photons in a synthetic gauge field.

Electronic transport is localized in low-dimensional disordered media. The addition of gauge fields to disordered media leads to fundamental changes in the transport properties. We implement a synthetic gauge field for photons using silicon-on-insulator technology. By determining the distribution of transport properties, we confirm that waves are localized in the bulk and localization is suppre...

Steady Mixed Convection Flow of Water at 4◦C Along A Non-Isothermal Vertical Moving Plate with Transverse Magnetic Field

Parallel Transport and “quantum Holonomy” along Density Operators

“Quantum holonomy” as defined by Berry and Simon, and based on the parallel transport of Bott and Chern, can be considerably extended. There is a natural “parallelity” W*dW = (dW)* W within the Hilbert--Schmidt operators W This defines parallelity and holonomy along curves of density operators e = WW*. There is an intrinsic nonlinearity in the parallel transport which dissolves for curves of pr...

Gauge field theory coherent states (GCS): I. General properties

In this paper we outline a rather general construction of diffeomorphism covariant coherent states for quantum gauge theories. By this we mean states ψ(A,E), labelled by a point (A,E) in the classical phase space, consisting of canonically conjugate pairs of connectionsA and electric fieldsE, respectively, such that: (a) they are eigenstates of a corresponding annihilation operator which is a g...