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A systematic 1/c-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model

Abstract:

We introduce a framework for calculating dynamical correlations in the Lieb-Liniger model in arbitrary energy eigenstates and for all space and time, that combines a Lehmann representation with a 1/c expansion. The nth term of the expansion is of order 1/cn and takes into account all [n/2] + 1 particle-hole excitations over the averaging eigenstate. Importantly, in contrast to a "bare" 1/c expansion it is uniform in space and time. The framework is based on a method for taking the thermodynam...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.21468/SciPostPhys.9.6.082

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-1127-5830
Publisher:
SciPost
Journal:
SciPost Physics More from this journal
Volume:
9
Issue:
6
Article number:
82
Publication date:
2020-12-07
Acceptance date:
2020-11-23
DOI:
EISSN:
2542-4653
ISSN:
2542-4653
Language:
English
Keywords:
Pubs id:
1157791
Local pid:
pubs:1157791
Deposit date:
2021-05-06

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