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pro vyhledávání: '"Saunders, J."'
In 2023, the first author and Vandehey proved that the largest $k$ for which the string of equalities $\lambda(n+1)=\lambda(n+2)=\cdots=\lambda(n+k)$ holds for some $n\leq x$, where $\lambda$ is the Carmichael $\lambda$ function, is bounded above by
Externí odkaz:
http://arxiv.org/abs/2402.06832
Autor:
Autti, S., Casey, A., Eng, N., Darvishi, N., Franchini, P., Haley, R. P., Heikkinen, P. J., Kemp, A., Leason, E., Levitin, L. V., Monroe, J., March-Russel, J., Noble, M. T., Prance, J. R., Rojas, X., Salmon, T., Saunders, J., Smith, R., Thompson, M. D., Tsepelin, V., West, S. M., Whitehead, L., Zhang, K., Zmeev, D. E.
Publikováno v:
Journal of Low Temperature Physics, Special Issue: Quantum Fluids and Solids (QFS2023)
We report the results of radioactivity assays and heat leak calculations for a range of common cryogenic materials, considered for use in the QUEST-DMC superfluid 3He dark matter detector. The bolometer, instrumented with nanomechanical resonators, w
Externí odkaz:
http://arxiv.org/abs/2402.00181
Autor:
Autti, S., Casey, A., Eng, N., Darvishi, N., Franchini, P., Haley, R. P., Heikkinen, P. J., Jennings, A., Kemp, A., Leason, E., Levitin, L. V., Monroe, J., March-Russel, J., Noble, M. T., Prance, J. R., Rojas, X., Salmon, T., Saunders, J., Smith, R., Thompson, M. D., Tsepelin, V., West, S. M., Whitehead, L., Zavjalov, V. V., Zmeev, D. E.
Publikováno v:
Eur. Phys. J. C (2024) 84:248
The focus of dark matter searches to date has been on Weakly Interacting Massive Particles (WIMPs) in the GeV/$c^2$-TeV/$c^2$ mass range. The direct, indirect and collider searches in this mass range have been extensive but ultimately unsuccessful, p
Externí odkaz:
http://arxiv.org/abs/2310.11304
In this paper, we look at numbers of the form $H_{r,k}:=F_{k-1}F_{r-k+2}+F_{k}F_{r-k}$. These numbers are the entries of a triangular array called the \emph{determinant Hosoya triangle} which we denote by ${\mathcal H}$. We discuss the divisibility p
Externí odkaz:
http://arxiv.org/abs/2211.10788
Autor:
Lucas, M., Danilov, A. V., Levitin, L. V., Jayaraman, A., Casey, A. J., Faoro, L., Tzalenchuk, A. Ya., Kubatkin, S. E., Saunders, J., de Graaf, S. E.
Publikováno v:
Nature Communications 14, 3522 (2023)
Quantum circuits interact with the environment via several temperature-dependent degrees of freedom. Yet, multiple experiments to-date have shown that most properties of superconducting devices appear to plateau out at $T\approx 50$ mK -- far above t
Externí odkaz:
http://arxiv.org/abs/2210.03816
Autor:
Knapp, J., Levitin, L. V., Nyéki, J., Ho, A. F., Cowan, B., Saunders, J., Brando, M., Geibel, C., Kliemt, K., Krellner, C.
The nature of the antiferromagnetic order in the heavy fermion metal YbRh$_2$Si$_2$, its quantum criticality, and superconductivity, which appears at low mK temperatures, remain open questions. We report measurements of the heat capacity over the wid
Externí odkaz:
http://arxiv.org/abs/2210.03673
We prove a general criterion for an irrational power series $f(z)=\displaystyle\sum_{n=0}^{\infty}a_nz^n$ with coefficients in a number field $K$ to admit the unit circle as a natural boundary. As an application, let $F$ be a finite field, let $d$ be
Externí odkaz:
http://arxiv.org/abs/2206.00862