Journal article 272 views
A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model
Mark Kelbert,
Yurii Suhov
Advances in Mathematical Physics, Volume: 2013, Pages: 1 - 20
Swansea University Author: Mark Kelbert
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DOI (Published version): 10.1155/2013/637375
Abstract
This paper is the second in a series of papers considering symmetry properties of a bosonic quantum system over an 2D graph, with continuous spins, in the spirit of the Mermin--Wagner theorem. Here we consider bosonic systems on bi-dimensional graphs where particles can jump from a vertex to another...
| Published in: | Advances in Mathematical Physics |
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| ISSN: | 1687-9120 |
| Published: |
2013
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa14984 |
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| Abstract: |
This paper is the second in a series of papers considering symmetry properties of a bosonic quantum system over an 2D graph, with continuous spins, in the spirit of the Mermin--Wagner theorem. Here we consider bosonic systems on bi-dimensional graphs where particles can jump from a vertex to another (a generalized Hubbard model). The Feynman--Kac representation is used for proving that if the local Hamiltonians are invariant under a continuous group of transformations ${\tt G}$ (a Euclidean space or a torus of dimension $d'$ acting on a torus of dimension $d\geq d'$) then any infinite-volume Gibbs state from a certain class (introduced in the paper) is also ${\tt G}$-invariant. |
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| College: |
Faculty of Science and Engineering |
| Start Page: |
1 |
| End Page: |
20 |