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Out-of-equilibrium dynamics of the XY spin chain from form factor expansion

Abstract:
We consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy. We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) following [1], provides a natural and unified framework for out-of-equilibrium physics in this model. We show that all correlation functions in the CE can be computed using form factor expansion and expressed in terms of Fredholm determinants. In particular, we present exact out-of-equilibrium expressions in the thermodynamic limit for the previously unknown order parameter 1-point function, dynamical 2-point function and equal-time 3-point function.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/SciPostPhys.12.1.019

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-1127-5830
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author


Publisher:
SciPost Foundation
Journal:
SciPost Physics More from this journal
Volume:
12
Issue:
1
Article number:
019
Publication date:
2022-01-13
Acceptance date:
2021-11-12
DOI:
EISSN:
2542-4653


Language:
English
Keywords:
Pubs id:
1195306
Local pid:
pubs:1195306
Deposit date:
2021-11-12

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