Effects of quantum entanglement in phase transitions |
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| Authors: | Dorje C. Brody Lane P. Hughston |
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| Affiliation: | a Department of Mathematics, Imperial College London, London SW7 2AZ, UK
b Statistical Laboratory, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, UK |
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| Abstract: | Starting with the canonical ensemble over the space of pure quantum states, we obtain an integral representation for the associated partition function. This is used to calculate the magnetisation of a system of N spin- particles. The results suggest the existence of a first order phase transition that occurs at zero temperature in the absence of spin-spin interactions. |
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