Kazumoto Iguchi

Bio: Kazumoto Iguchi is an academic researcher from University of Utah. The author has contributed to research in topics: Ideal gas & Fermion. The author has an hindex of 4, co-authored 4 publications receiving 479 citations.

Localization of optics: Quasiperiodic media.

Abstract: An experiment to probe the (quasi)localization of the photon is proposed, in which optical layers are constructed following the Fibonacci sequence. The transmission coefficient has a rich structure as a function of the wavelength of light and, in fact, is multifractal. For particular wavelengths for which the resonance condition is satisfied, the light propagation has scaling with respect to the number of layers, as well as an interesting fluctuation.

Quantum Statistical Mechanics of an Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimensions

Abstract: The quantum statistical mechanics of an ideal gas with fractional exclusion (i.e., Haldane-Wu) statistics in arbitrary dimensions is discussed. The general formulation for pressure and density of the system is obtained in a closed form in terms of the D-dimensional momentum representation, which can be regarded as a natural generalization of the classic results for Fermi and Bose gases. Using this, it is shown that ideal gases with fractional exclusion statistics can be regarded as composites of fermions and bosons, and that no condensation occurs at low temperature except for the pure boson case. [S0031-9007(97)03012-3]

Generalization of a fermi liquid to a liquid with fractional exclusion statistics in arbitrary dimensions : theory of a haldane liquid

Abstract: In 1957 Landau [1] introduced the famous concept of quasiparticles with Fermi-Dirac statistics (FDS) in a Fermi liquid in order to describe electrons in a metal where the interaction between electrons was believed to be very significant, as a generalization of the Sommerfeld theory for a degenerate Fermi gas [2]. This description was later justified by Luttinger [3]. Recently Haldane [4] introduced the concept of fractional exclusion statistics (FES) which quasiparticles in strongly interacting systems in arbitrary dimensions might satisfy as a generalization of Pauli’s exclusion principle. Wu [5] first formulated quantum statistical mechanics (QSM) in the state representation and derived the distribution function for an ideal gas with FES as a generalization of the FD and the Bose-Einstein (BE) distribution functions. [Throughout this Letter the FES is referred to as the Haldane-Wu statistics (HWS) such as FDS and BES, while a gas or liquid with HWS is called a Haldane gas or liquid such as a gas or liquid with FDS (BES) was called a Fermi (Bose) gas or liquid.] This concept has played a very important role to understand strongly interacting system such as the TomonagaLuttinger model (TLM) [6], the Calogero-Sutherland model (CSM) [7], and the Haldane-Shastry model (HSM) [8] in one dimension and the fractional quantum Hall effect in two dimensions [9]. Especially, notable is that Dasnieres de Veigy and Ouvry [10] revealed a deep connection between the FES and the fractional quantum Hall system, while Bernard and Wu [11] and Isakov [12] found the one between the FES and the CSM. More recently, QSM formulation has been developed further by Nayak and Wiczek [13], Isakov, Arovas, Myrheim, and Polychronakos [14], and the author [15]. Here, the QSM formulation allows us to evaluate the equation of state for an ideal gas with HWS in arbitrary dimensions with obtaining all the exact cluster coefficients in the cluster expansion [14,15]. However, interacting quasiparticles with HWS in arbitrary dimensions have never been investigated yet, and therefore the concept of a Haldane liquid is still missing. In this Letter I will explore this concept as a generalization of the Landau’s Fermi liquid theory and generalize the Luttinger’s theorem for a Fermi liquid to that for a Haldane liquid.

Interacting particles as neither bosons nor fermions: A microscopic origin for fractional exclusion statistics

Abstract: We study a quantum liquid of particles interacting via a long-ranged two-body potential in three dimensions where the original particles are supposed to be either bosons or fermions. We show that such liquids exhibit the nature of a quantum liquid with fractional exclusion statistics. In both quantum liquids enlarged pseudo-Fermi surfaces are formed from bosons and fermions, although with different excitations. Hence, we conclude that the microscopic origin of exclusion statistics comes from the nature of long-ranged two-body interactions between the particles.

Light transmission in quasiperiodic multilayers of porous silicon

Abstract: Porous silicon is an efficient photo- and electro-luminescent material and represents a promising candidate for opto-electronic applications On the other hand, quasiperiodic structures have been shown to be effective media for light localization and third harmonic generation In this work, we present a photonic model for quasiperiodic multilayer structures, which are built experimentally by alternating porous silicon layers with high and low refractive indices The analysis of the light propagation through these structures is based on the transfer matrix theory The theoretical reflectance spectrum is compared with experimental data, observing a good agreement

Optics of photonic quasicrystals

Abstract: The optical characteristics and applications of the quasicrystal, a special form of aperiodic engineered structure, are explored in this Review article.

The role of aperiodic order in science and technology

Abstract: In this work we consider the role of aperiodic order in different domains of science and technology from an interdisciplinary approach. To start with, we introduce some general classification schemes for aperiodic arrangements of matter. Afterwards, we review the main physical properties and possible applications of quasiperiodic crystals. Several conceptual links between quasiperiodic crystals and the hierarchical structure of biopolymers are then discussed in connection with the charge transfer properties of both biological and synthetic DNA chains. The widespread presence of Fibonacci numbers and the golden mean in different physical contexts is also discussed. Promising technological applications of aperiodic systems are finally reviewed by considering both current and potential applications. In particular, we analyse the capability of exploiting aperiodic order in the design of novel devices based on semiconductor heterostructures and dielectric multilayers.

Looking through walls and around corners

Abstract: It is shown theoretically that under appropriate conditions a visually opaque, multiply scattering optical barrier can be made to serve as a thin lens which produces a near perfect, real, paraxial image of objects lying behind the barrier. Preliminary experimental results are described which verify the validity of the underlying assumptions. The barrier can also be made to serve as various other types of optical instruments, such as mirrors, polarizers, optical Fourier analyzers, theodolites, etc. Thus it is now clear that multiply scattering media should no longer be considered barriers to optical propagation, but are more properly to be regarded as potential high-precision optical instruments.