We analyze quantum quenches in integrable models and in particular the determination of the initial state in the basis of eigenstates of the post-quench hamiltonian. This leads us to consider the set of transformations of creation and annihilation operators that respect the Zamolodchikov- Faddeev algebra satisfied by integrable models. We establish that the Bogoliubov transformations hold only in the case of quantum quenches in free theories. In the most general case of interacting theories, we identify two classes of transformations. The first class induces a change in the S- matrix of the theory but not of its ground state, whereas the second class results in a “dressing” of the operators. As examples of our approach we consider the transformations associated with a change of the interaction in the Sinh-Gordon and the Lieb-Liniger model. © 2012 IOP Publishing Ltd.

Zamolodchikov-Faddeev algebra and quantum quenches in integrable field theories / Sotiriadis, Spyridon; Fioretto, Davide; Mussardo, Giuseppe. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2012:2(2012), pp. 1-30. [10.1088/1742-5468/2012/02/P02017]

Zamolodchikov-Faddeev algebra and quantum quenches in integrable field theories

Sotiriadis, Spyridon;Fioretto, Davide;Mussardo, Giuseppe
2012-01-01

Abstract

We analyze quantum quenches in integrable models and in particular the determination of the initial state in the basis of eigenstates of the post-quench hamiltonian. This leads us to consider the set of transformations of creation and annihilation operators that respect the Zamolodchikov- Faddeev algebra satisfied by integrable models. We establish that the Bogoliubov transformations hold only in the case of quantum quenches in free theories. In the most general case of interacting theories, we identify two classes of transformations. The first class induces a change in the S- matrix of the theory but not of its ground state, whereas the second class results in a “dressing” of the operators. As examples of our approach we consider the transformations associated with a change of the interaction in the Sinh-Gordon and the Lieb-Liniger model. © 2012 IOP Publishing Ltd.
2012
2012
2
1
30
P02017
10.1088/1742-5468/2012/02/P02017
https://arxiv.org/abs/1112.2963
Sotiriadis, Spyridon; Fioretto, Davide; Mussardo, Giuseppe
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12959
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