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Quantum Spin Systems at Positive Temperature

Mathematical 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.