### Abstract

We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches. We construct and examine an infinite integral equation hierarchy based on the form factor bootstrap, proposed earlier as a set of conditions determining the overlaps. Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an iterative method to solve numerically the lowest equation of the hierarchy. The iterative solution along with extensive numerical checks performed using the next equation of the hierarchy provides a strong numerical evidence that the proposed Ansatz gives a very good approximation for the solution.

Original language | English |
---|---|

Pages (from-to) | 508-547 |

Number of pages | 40 |

Journal | Nuclear Physics B |

Volume | 902 |

DOIs | |

Publication status | Published - Jan 1 2016 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*902*, 508-547. https://doi.org/10.1016/j.nuclphysb.2015.11.025

**Initial states in integrable quantum field theory quenches from an integral equation hierarchy.** / Horváth, D. X.; Sotiriadis, S.; Takács, G.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 902, pp. 508-547. https://doi.org/10.1016/j.nuclphysb.2015.11.025

}

TY - JOUR

T1 - Initial states in integrable quantum field theory quenches from an integral equation hierarchy

AU - Horváth, D. X.

AU - Sotiriadis, S.

AU - Takács, G.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches. We construct and examine an infinite integral equation hierarchy based on the form factor bootstrap, proposed earlier as a set of conditions determining the overlaps. Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an iterative method to solve numerically the lowest equation of the hierarchy. The iterative solution along with extensive numerical checks performed using the next equation of the hierarchy provides a strong numerical evidence that the proposed Ansatz gives a very good approximation for the solution.

AB - We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches. We construct and examine an infinite integral equation hierarchy based on the form factor bootstrap, proposed earlier as a set of conditions determining the overlaps. Using quenches of the mass and interaction in Sinh-Gordon theory as a concrete example, we present theoretical arguments that the state has the squeezed coherent form expected for integrable quenches, and supporting an Ansatz for the solution of the hierarchy. Moreover we also develop an iterative method to solve numerically the lowest equation of the hierarchy. The iterative solution along with extensive numerical checks performed using the next equation of the hierarchy provides a strong numerical evidence that the proposed Ansatz gives a very good approximation for the solution.

UR - http://www.scopus.com/inward/record.url?scp=84954166092&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84954166092&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2015.11.025

DO - 10.1016/j.nuclphysb.2015.11.025

M3 - Article

AN - SCOPUS:84954166092

VL - 902

SP - 508

EP - 547

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -