We measure the upper-state lifetime and two ratios of vibrational branching fractions ${f}_{{v}^{\ensuremath{'}}v}$ on $B{\phantom{\rule{0.16em}{0ex}}}^{3}{\ensuremath{\Pi}}_{1}({v}^{\ensuremath{'}})\ensuremath{-}X{\phantom{\rule{0.16em}{0ex}}}^{1}{\ensuremath{\Sigma}}^{+}(v)$ transition TlF. find $B$-state to be 99(9) ns. also determine that off-diagonal decays are highly suppressed: ${f}_{01}/{f}_{00}<2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ ${f}_{02}/{f}_{00}=1.10(6)$%,...

The rotational and hyperfine spectrum of the $X{\phantom{\rule{0.16em}{0ex}}}^{1}{\mathrm{\ensuremath{\Sigma}}}^{+}\ensuremath{\rightarrow}B{\phantom{\rule{0.16em}{0ex}}}^{3}{\mathrm{\ensuremath{\Pi}}}_{1}$ transition in TlF molecules was measured using laser-induced fluorescence from both a thermal cryogenic molecular beam. Rotational constants for $B$ state are obtained. large magnetic interaction Tl nuclear spin leads to significant mixing lowest levels. Updated, more precise measurements...

Convolutional neural networks (CNNs) have been employed along with variational Monte Carlo methods for finding the ground state of quantum many-body spin systems great success. However, it remains uncertain how CNNs, a model complexity that scales at most linearly number particles, solve “curse dimensionality” and efficiently represent wavefunctions in exponentially large Hilbert spaces. In this work, we use methodologies from information theory, group theory machine learning, to elucidate...

Recent experimental advances in the cooling and manipulation of bialkali dimer molecules have enabled production gases ultracold that are not chemically reactive. It has been presumed literature absence an electric field low-energy scattering such nonreactive (NRMs) will be similar to atoms, which a single $s$-wave length governs collisional physics. However, Ref. [1], it was argued short-range physics NRMs is much more complex than for this leads many-body description terms multi-channel...

We calculate the parameters of recently-derived many-channel Hubbard model that is predicted to describe ultracold nonreactive molecules in an optical lattice, going beyond approximations used Doçaj \textit{et al.}~[Phys. Rev. Lett. \textbf{116}, 135301 (2016)]. Although those are expected capture qualitative structure parameters, finer details and quantitative values less certain. To set expectations for experiments, whose results depend on we approximations' regime validity likelihood...

Dynamical fermionization refers to the phenomenon in Tonks-Girardeau gases where, upon release from harmonic confinement, gases' momentum density profile evolves asymptotically that of an ideal Fermi gas initial trap. This has been demonstrated theoretically hardcore and anyonic was recently experimentally observed a strongly interacting Bose gas. We extend this study one-dimensional spinor arbitrary spin regime analytically prove total distribution after trap is turned off approaches...

The performance of a quantum sensor is fundamentally limited by noise. This noise particularly damaging when it becomes correlated with the readout target signal, caused fluctuations sensor's operating parameters. These uncertainties limit sensitivity in way that can be understood multiparameter estimation theory. We develop new approach, adaptable to any platform, for designing robust sensing protocols leverages theory and machine learning decorrelate signal from fluctuating off-target...

Abstract Quantum many-body systems in one dimension (1D) exhibit some peculiar properties. In this article, we review of our work on strongly interacting 1D spinor quantum gas. First, discuss a generalized Bose–Fermi mapping that maps the charge degrees freedom to spinless Fermi gas and spin chain model. This also system into weakly one, which is amenable for perturbative calculations. Next, based mapping, construct an ansatz wavefunction system, using many physical quantities can be...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Keshav N. Shrivastava; Byers Yang's Theorem on Flux Quantization. AIP Conf. Proc. 7 July 2010; 1250 (1): 261–264. https://doi.org/10.1063/1.3469652 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Dropdown Menu input auto suggest...

The Monte Carlo (MC) simulation of electron transport properties at high electric field region in 4H‐ and 6H‐SiC are presented. This MC model includes two non‐parabolic conduction bands. Based on the material parameters, scattering rates included polar optical phonon scattering, acoustic evaluated. drift velocity, energy free flight time simulated as a function applied an impurity concentration 1×1018 cm3 room temperature. velocity with dependencies is good agreement experimental results...

The Hall Effect has only one e and h/e comes from the flux quantization. At plateau, number of electrons is or a small number. As field increased, increases to form cluster. increase in can be described by exponent coherence length because plateau determined This quantization our spin dependent expression. increased go out area restricted quantization, which variation resistivity as function magnetic field, ∂Rxy/∂B≈T−0.4 0.4 1/ν where ν length. further interferes again cluster breaks down...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Rosy Teh, Khai‐Ming Wong; Type A Jacobi Elliptic One‐Monopole. AIP Conf. Proc. 7 July 2010; 1250 (1): 3–8. https://doi.org/10.1063/1.3469691 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Dropdown Menu input auto suggest filter your...

We are going to make use of the regulated polar angle which had been introduced by Boulware et al.. show that in SU(2) Yang‐Mills‐Higgs theory when magnetic monopole is carried gauge field, Higgs field does not carry and vice versa. In theory, our solution shows parameter ε ≠ 0, there a string singularity field. When → transferred from disappeared. The only singular at origin, r = 0 as it becomes Wu‐Yang monopole.

We present a theoretical analysis of dielectric loss antiferroelectric liquid crystals by using discrete phenomenological model which incorporates the effects such as steric, van der Waals, chirality, quadrupolar, nearest‐neighbouring (NN) and next‐nearest‐neighbouring (NNN) layers interactions. The effect chirality on chiral smectic crystal phases is significant; thus, analytical numerical results in terms eigen frequencies phase amplitude modes are presented.

Monopoles in topologically massive SU(2) Yang‐Mils‐Higgs gauge theory 2+1 dimensions with a Chern‐Simon mass term have been studied by Pisarski some years ago. He argued that there is monopole solution regular everywhere, but found it does not possess finite action. There were no exact or numerical solutions being presented him. Hence our purpose to further investigate this more detail. We obtained smoothly interpolates between the behavior at small and large distances for different values...

The relative angular momentum of two particles, L2 is used to define a projection operator P2p which corresponds the L2+p filling factor defined by ν = 1/(L2min+p). number particles g. If one more particle comes near it for purpose forming cluster, becomes [(1/2)g(g+1)+p[−1. g 2, p 4 called Haffnian and 3 Gaffnian. For 3, v 1/6. This state has ground special pseudopotential type Hamiltonian. Given fraction, we find energy wave function, Hamiltonian are linked together. In this methodology,...