11.07.2014 Views

An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)

An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)

An Introduction to Mesoscopic and Nanometer Scale Physics (PDF)

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Quantum Behavior in Mechanical Systems<br />

Simple Harmonic Oscilla<strong>to</strong>r<br />

Clel<strong>and</strong> Group, UCSB<br />

E<br />

E = (1/2) kx 2<br />

E<br />

E = (n +1/2) hω<br />

n=2<br />

ω<br />

1<br />

0<br />

Classical<br />

x<br />

Quantum<br />

x<br />

To measure transition:<br />

• k B T < hω : T min » 50 mK ω/2π 1 GHz<br />

• (nearly) quantum limited detection: ε ~ (1-10) hω

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!