We present experimental results on a method to perform polarimetry on ensembles of single photons. Our setup is based on a measurement method known to be optimal for estimating the state of two level systems. The setup has no moving parts and is sensitive to weak sources (emitting single photons) of light as it relies on photon counting and has potential applications in both classical polarizat...

Let S(k) be the scattering matrix for a Schrödinger operator (Laplacian plus potential) on Rn with compactly supported smooth potential. It is well known that S(k) is unitary and that the spectrum of S(k) accumulates on the unit circle only at 1; moreover, S(k) depends analytically on k and therefore its eigenvalues depend analytically on k provided they stay away from 1. We give examples of sm...

We propose and demonstrate semiconductor nanocrystal based photovoltaic scintillators integrated on solar cells to enhance photovoltaic device parameters including spectral responsivity, open circuit voltage, short circuit current, fill factor, and solar conversion efficiency in the ultraviolet. Hybridizing (CdSe)ZnS core-shell quantum dots of 2.4 nm in diameter on multi-crystalline Si solar ce...

The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown that the hypothesis of cosmological natural selection satisfies these conditions, thus showing that it is possible to continue to do physics on a landscape without invoking ...

The modern development of quantum technology enables people to control quantum process of microscopic system by external field [1, 2, 3, 4, 5, 6]. In the point of view of quantum mechanics, the objective of a quantum control is to reach a desired state (called target state) from an initial state of the controlled system by manipulating its external parameters. Some aspects in quantum informatio...

The Stokes parameters form a Minkowskian four-vector under various optical transformations. As a consequence, the resulting two-by-two density matrix constitutes a representation of the Lorentz group. The associated Poincaré sphere is a geometric representation of the Lorentz group. Since the Lorentz group preserves the determinant of the density matrix, it cannot accommodate the decoherence pr...

Ordering ambiguity associated with the von Roos position dependent mass (PDM) Hamiltonian is considered. A PDM-pseudo-momentum operator Π̂1 = −i [μ (x)∂x + g (x)] is introduced (the Hermiticity of which is secured by the condition g (x) = ∂xμ (x) /2) and generalized to ddimensions. Intertwining our Hamiltonian, HMM = Π̂ 2 d + V (x), with the von Roos d-dimensional PDM-Hamiltonian, HvR = T̂d (α, β,...

We study the low-energy 3/2 and 1/2 states of 5He and 5Li in a microscopic cluster model. The scattering phase shifts of Bond (α + n) and of Schwandt (α + p), respectively, are reproduced well. We determine the resonance parameters by localizing the poles of the analytically continued S-matrix at complex energies. Our results are in conflict with conventional R-matrix resonance parameters, but ...

Here we give brief account of hermitian symplectic spaces, showing that they are intimately connected to symmetric as well as self-adjoint extensions of a symmetric operator. Furthermore we find an explicit parameterisation of the Lagrange Grassmannian in terms of the unitary matrices U(n). This allows us to explicitly describe all self-adjoint boundary conditions for the Schrödinger operator o...

This paper extends the generalized Hamiltonian method (GHM) [1], [2] and its half-size variant (HGHM) [2] to their S-parameter counterparts (called S-GHM and S-HGHM, respectively), for testing the passivity of S-parameter descriptorform models widely used in high-speed circuit and electromagnetic simulations. The proposed methods are capable of accurately detecting the possible nonpassive regio...