dorsal/arxiv
View SchemaLarge N Scaling Behavior of the Lipkin-Meshkov-Glick Model
| Authors | F Leyvraz, WD Heiss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507004 |
| URL | https://arxiv.org/abs/quant-ph/0507004 |
| DOI | 10.1103/PhysRevLett.95.050402 |
Abstract
We introduce a novel semiclassical approach to the Lipkin model. In this way the well-known phase transition arising at the critical value of the coupling is intuitively understood. New results -- showing for strong couplings the existence of a threshold energy which separates deformed from undeformed states as well as the divergence of the density of states at the threshold energy -- are explained straightforwardly and in quantitative terms by the appearance of a double well structure in a classical system corresponding to the Lipkin model. Previously unnoticed features of the eigenstates near the threshold energy are also predicted and found to hold.
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"abstract": "We introduce a novel semiclassical approach to the Lipkin model. In this way\nthe well-known phase transition arising at the critical value of the coupling\nis intuitively understood. New results -- showing for strong couplings the\nexistence of a threshold energy which separates deformed from undeformed states\nas well as the divergence of the density of states at the threshold energy --\nare explained straightforwardly and in quantitative terms by the appearance of\na double well structure in a classical system corresponding to the Lipkin\nmodel. Previously unnoticed features of the eigenstates near the threshold\nenergy are also predicted and found to hold.",
"arxiv_id": "quant-ph/0507004",
"authors": [
"F Leyvraz",
"WD Heiss"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.95.050402",
"title": "Large N Scaling Behavior of the Lipkin-Meshkov-Glick Model",
"url": "https://arxiv.org/abs/quant-ph/0507004"
},
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