Motivated by the ongoing discussion about a seeming asymmetry in the performance of fermionic and bosonic replicas, we present an exact, nonperturbative approach to both fermionic and bosonic zero-dimensional replica field theories belonging to the broadly interpreted beta=2 Dyson symmetry class. We then utilize the formalism developed to demonstrate that the bosonic replicas do correctly repro...

1550-7998=20 A non-Hermitian Hamiltonian has a real positive spectrum and exhibits unitary time evolution if the Hamiltonian possesses an unbroken PT (space-time reflection) symmetry. The proof of unitarity requires the construction of a linear operator called C. It is shown here that C is the complex extension of the intrinsic parity operator and that the C operator transforms under the Lorent...

In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by 2 × 2 unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.

In this paper we show how the symmetry present in many linear systems can be exploited to significantly reduce the computational effort required for controller synthesis. This approach may be applied when controller design specifications are expressible as a semidefinite program. In particular, when the overall system description is invariant under unitary coordinate transformations of the stat...

We estimate the coupling of K∗ vector meson to the N → Θ transition employing the unitary symmetry, vector meson dominance, and results of the GRAAL Collaboration on the η photoproduction off the neutron. Our small numerical value of the coupling confirms that the CLAS Collaboration null results do not contradict to theoretical expectations for the Θ-production. We also estimate the K∗coupling ...

in this work, using eigenvalues and eigenvectors of unitary cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing pst occurring in its unitary cayley graph. moreover, we have some developments when $r$ is a product of local rings.

We investigate the intrinsic anomalous thermal Hall effect as an effective probe of order parameters non-unitary pairing states putative spin-triplet superconductor UTe$_2$. consider all symmetry-allowed under magnetic fields comprehensively, and calculate conductivity arising from time-reversal symmetry-breaking Weyl point nodes gap functions, assuming three types Fermi surfaces; ellipsoid-sha...

‎We study $R$-groups for $p$-adic inner forms of quasi-split special unitary groups‎. ‎We prove Arthur's conjecture‎, ‎the isomorphism between the Knapp-Stein $R$-group and the Langlands-Arthur $R$-group‎, ‎for quasi-split special unitary groups and their inner forms‎. ‎Furthermore‎, ‎we investigate the invariance of the Knapp-Stein $R$-group within $L$-packets and between inner forms‎. ‎This w...