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Quantum Spin Systems at Positive TemperatureMathematical Physics & Probability
|Speaker: ||Shannon Starr, University of California Los Angeles|
|Location: ||0 MSB|
|Start time: ||Thu, Apr 20 2006, 3:10PM|
We generally understand classical spin systems much better than
quantum spin systems. On the other hand, classical spin systems are a
limit of quantum spin systems, when the spin parameter goes to infinity.
In this talk we will describe a method for proving phase coexistence in
certain special quantum spin systems at positive temperature, if the spin
parameter is large enough, using what we know for their classical limits.
The method of proof uses a new inequality that is an analogue of the
Berezin-Lieb inequality for coherent states, suitably generalized to
matrix elements, instead of just traces.