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arxiv: 1210.2766 · v1 · pith:MYXKGVHGnew · submitted 2012-10-09 · 🧮 math.PR · math-ph· math.MP

Ground states for mean field models with a transverse component

classification 🧮 math.PR math-phmath.MP
keywords fieldgroundmeanmodelsstatesapproachasymptoticscase
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We investigate global logarithmic asymptotics of ground states for a family of quantum mean field models. Our approach is based on a stochastic representation and a combination of large deviation and weak KAM techniques. The spin- 1/2 case is worked out in more detail.

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