Analysis of variable-temperature fluorescence quantum yield and lifetime data for per(difluoroboro)tetrakis(pyrophosphito)diplatinate(II) ([Pt(2)(μ-P(2)O(5)(BF(2))(2))(4)](4-), abbreviated Pt(pop-BF(2))), yields a radiative decay rate (k(r) = 1.7 × 10(8) s(-1)) an order of magnitude greater than that of the parent complex, Pt(pop). Its temperature-independent and activated intersystem crossing ...

Although the quantum bound-state energies may be generated by the so called PT −symmetric Hamiltonians H = PH†P 6 = H where P is, typically, parity, the spectrum only remains real and observable (i.e., in the language of physics, the PT −symmetry remains unbroken) inside a domain D of couplings. We show that the boundary ∂D (i.e., certain stability and observability horizon formed by the Kato’s...

We introduce a new family of generalized PT-symmetric cavities that involve gyrotropic elements and support reconfigurable unidirectional lasing modes. We derive conditions for which these modes exist and investigate a simple electronic circuit that experimentally demonstrates their feasibility in the radio-frequency domain.

It is shown that all simple ecological, i.e. population dynamical equations (unlimited exponential population growth (or decrease) dynamics, logistic or Verhulst equation, usual and generalized Lotka-Volterra equations) hold a symmetry, called CEPT symmetry. Namely, all simple ecological dynamical equations are invariant (symmetric) in respect to successive application of the time reversal tran...

Abstract We show that the PT symmetric Hamiltonians (and their generalizations H = H defined in the text) may be all assigned the projected (so called Feshbach or effective) nonlinear Hamiltonians which are “locally” Hermitian. This implies that many (if not all) of the bound-state energies may be real in a broad domain of Hermiticityviolating interactions. A complexification of a superintegrab...

Non-Hermitian but PφTφ-symmetrized spherically-separable Dirac and Schrödinger Hamiltonians are considered. It is observed that the descendant Hamiltonians Hr, Hθ, and Hφ play essential roles and offer some ”user-feriendly” options as to which one (or ones) of them is (or are) nonHermitian. Considering a PφTφ-symmetrized Hφ, we have shown that the conventional Dirac (relativistic) and Schröding...

We show that a vapor of multilevel atoms driven by far-off-resonant laser beams, with the possibility of interference of two Raman resonances, is highly efficient for creating parity-time symmetric profiles of the probe-field refractive index, whose real part is symmetric and imaginary part is antisymmetric in space. The spatial modulation of the probe-field susceptibility is achieved by a prop...

We study the scattering properties of partially coherent vector beams with deterministic media having classic symmetric and parity-time (PT) potential functions. The closed-form expressions for intensity polarization matrix far-zone scattered field are obtained, under first-order Born approximation, when taken to be radially polarized assumed as four-point scatterers. demonstrate both analytica...

We investigate the transition probabilities for “flavor” eigenstates in two-level quantum system, which is described by a non-Hermitian Hamiltonian with parity and time-reversal (PT) symmetry. Particularly, we concentrate on so-called PT-broken phase, where two eigenvalues of turn out to be complex-conjugate pair. In this case, find that will unbounded limit infinite time t ? +?. However, after...

Abstract The concept of topology is universally observed in various physical objects when the can be described by geometric structures. Although a representative example knotted geometry wavefunctions reciprocal space for quantum Hall family and topological insulators, states have also been defined other quantities, such as topologically distinct Fermi surfaces enhanced lattice degrees freedom ...