3,912 research outputs found
Exact averages of central values of triple product L-functions
We obtain exact formulas for central values of triple product L-functions averaged over newforms of weight 2 and prime level. We apply these formulas to non-vanishing problems. This paper uses a period formula for the triple product L-function proved by Gross and Kudla
Ultrasensitive mechanical detection of magnetic moment using a commercial disk drive write head
Sensitive detection of weak magnetic moments is an essential capability in
many areas of nanoscale science and technology, including nanomagnetism,
quantum readout of spins, and nanoscale magnetic resonance imaging. Here, we
show that the write head of a commercial hard drive may enable significant
advances in nanoscale spin detection. By approaching a sharp diamond tip to
within 5 nm from the pole and measuring the induced diamagnetic moment with a
nanomechanical force transducer, we demonstrate a spin sensitivity of 0.032
Bohr magnetons per root Hz, equivalent to 21 proton magnetic moments. The high
sensitivity is enabled in part by the pole's strong magnetic gradient of up to
28 million Tesla per meter and in part by the absence of non-contact friction
due to the extremely flat writer surface. In addition, we demonstrate
quantitative imaging of the pole field with about 10 nm spatial resolution. We
foresee diverse applications for write heads in experimental condensed matter
physics, especially in spintronics, ultrafast spin manipulation, and mesoscopic
physics.Comment: 21 pages, 6 figure
Classical many-body time crystals
Discrete time crystals are a many-body state of matter where the extensive
system's dynamics are slower than the forces acting on it. Nowadays, there is a
growing debate regarding the specific properties required to demonstrate such a
many-body state, alongside several experimental realizations. In this work, we
provide a simple and pedagogical framework by which to obtain many-body time
crystals using parametrically coupled resonators. In our analysis, we use
classical period-doubling bifurcation theory and present a clear distinction
between single-mode time-translation symmetry breaking and a situation where an
extensive number of degrees of freedom undergo the transition. We
experimentally demonstrate this paradigm using coupled mechanical oscillators,
thus providing a clear route for time crystals realizations in real materials.Comment: 23 pages, 5 figures, comments are welcom
Self Inhibiting Heat-Flux
Heat-transfer through weakly magnetized diffuse astrophysical plasmas excites whistlers. This leads to electron whistler resonant scattering, a reduction of the electron mean-free path, and heat-flux inhibition. However, only whistlers propagating at a finite angle to the magnetic field (off-axis) can scatter the heat-flux carrying electrons. Thus, the level of heat flux-inhibition along the magnetic field lines depends on the presence of off-axis whistlers
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