Abstract We prove several trace inequalities that extend the Golden-Thompson and the Araki-LiebThirring inequality to arbitrarily many matrices. In particular, we strengthen Lieb’s triple matrix inequality. As an example application of our four matrix extension of the Golden-Thompson inequality, we prove remainder terms for the monotonicity of the quantum relative entropy and strong sub-additiv...

An intersection of Noncommutative Geometry and Loop Quantum Gravity is proposed. Alain Connes’ Noncommutative Geometry provides a framework in which the Standard Model of particle physics coupled to general relativity is formulated as a unified, gravitational theory. However, to this day no quantization procedure compatible with this framework is known. In this paper we consider the noncommutat...

The building up of quantum coherence among coupled mesoscopic objects is studied in the present paper with a model of “ideal” quantum dots. With strong Coulomb repulsion we show that quantum coherence between dots can build up at an energy scale much larger than energy-level spacing if the number of electrons per dot is fractional. The self-consistent ladder approximation SCLA is applied to stu...

We performed high-resolution angle-resolved photoemission spectroscopy on triple-layered high-T(c) cuprate Bi(2)Sr(2)Ca(2)Cu(3)O(10+delta). We have observed the full energy dispersion (electron and hole branches) of Bogoliubov quasiparticles and determined the coherence factors above and below E(F) as a function of momentum from the spectral intensity as well as from the energy dispersion based...

A systematic inelastic neutron scattering study of the superexchange interaction in three different undoped monolayer cuprates (La2CuO4, Nd2CuO4 and Pr2CuO4) has been performed using conventional triple axis technique. We deduce the in-plane antiferromagnetic (AF) superexchange coupling J which actually presents no simple relation versus crystallographic parameters. The absolute spectral weight...

We suggest a general spectral method for calculating the statistics of multistep birth-death processes and chemical reactions of the type mA-->nA (m and n are positive integers) which possess an absorbing state. The method employs the generating function formalism in conjunction with the Sturm-Liouville theory of linear differential operators. It yields accurate results for the extinction stati...

Generalizing previous results for orbifolds, in this paper we describe the compactification of Matrix model on an orientifold which is a quotient space R/Γ as a Yang-Mills theory living on a quantum space. The information of the compactification is encoded in the action of the discrete symmetry group Γ on Euclidean space Rd and a projective representation U of Γ. The choice of Hilbert space on ...

Background Myocardial edema is usually assessed by T2W Turbo Spin Echo (TSE), using either Triple Inversion Recovery (STIR) or Double Inversion Recovery (DIR) with spectral fat saturation. Both TSE sequences have important drawbacks, such as low SNR when using the body coil, dropout of the lateral wall signal and use of semi-quantitative analysis by computing the ratio of myocardial to skeletal...

We show that the triple product defined by the spin domain (Bounded Symmetric Domain of type 4 in Cartan’s classification) is closely related to the geometric product in Clifford algebras. We present the properties of this tri-product and compare it with the geometric product. The spin domain can be used to construct a model in which spin 1 and spin1/2 particles coexist. Using the geometric tri...

Penicillin-induced focal epilepsy is a well-known model in experimental epilepsy. However, the dynamic evolution of waveforms, DC-level changes, spectral content and coherence are rarely reported. Stimulated by earlier fMRI findings, we also seek for the early signs preceding spiking activity from frequency domain of EEG signal. In this study, EEG data is taken from previous EEG/fMRI series (si...