A gentle reminder…
Please join us for a seminar sponsored by the Atomic and Molecular Physics Division,
Harvard-Smithsonian Center for Astrophysics. Complete schedule at
http://www.cfa.harvard.edu/amp/events.html
11:00 AM Monday, February 4, 2013
Phillips Auditorium
60 Garden St, Cambridge, MA
Title: Matter-wave clocks
Author: Holger Müller
Matter-wave clocks
Holger Müller, UC Berkeley
It is a key principle of quantum mechanics that plane matter waves are proportional to
exp(-ipμxμ/ℏ)=exp(-iω0τ), where pμ and xμ are respectively 4-momentum and position, and τ
is the proper time measured along the particle’s trajectory. Thus, the quantum state of a
free particle of mass m accumulates the same phase as a clock ticking at the particle’s
Compton frequency of ω0=mc2/ℏ travelling along the particle’s trajectory. This implies
that a single particle can be a reference for a clock. In principle, such a clock could be
built by annihilating particle-antiparticle pairs and counting the frequencies of the
generated photons. This would provide a frequency reference with virtually infinite
quality factor Q and unsurpassed stability against systematic influences. The frequency
(ω0/2π=3×1025 Hz for a Cesium atom), however, is far beyond modern counting techniques. A
method to divide it into a technically accessible range is thus required.
We demonstrate a “Compton clock,” a clock referenced to ω0, using an optical frequency
comb to self-reference a Ramsey-Bordé atom interferometer and synchronize an oscillator at
a subharmonic of ω0 . The interferometer is based on n-photon Bragg diffraction. It is
self-referenced by locking the laser to the Nth multiple of the measured recoil frequency.
The clock’s frequency ωm=ω0/(2nN2) is then fully determined by ω0 and the known numerical
factors N2 and n. The clock has an accuracy and stability of 4×10-9. It highlights the
intimate connection between frequency and mass: The Compton frequency can serve as a
frequency reference directly, without requiring the particle to be annihilated. It allows
measurement of microscopic masses with 4×10-9 accuracy in the proposed revision to SI
units. Together with the Avogadro project, it yields calibrated kilograms. We will survey
other applications of matter waves as clocks, such as testing relativity and verifying the
gravitational Aharonov-Bohm effect.
Reference:
A clock directly linking time to a particle’s mass. Shau-Yu Lan, Pei-Chen Kuan, Brian
Estey, Damon English, Justin Brown, Michael Hohensee, and Holger Müller, Science,
<http://dx.doi.org/10.1126/science.1230767>
http://dx.doi.org/10.1126/science.1230767 (2013).
Regards,
Gang
**************************
Gang Li
Post-doctoral fellow
Atomic and Molecular Physics Division
Harvard-Smithsonian Center for Astrophysics
Cambridge
USA
Tel: 6174962593
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