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Divergent nonlinear response from quasiparticle interactions

Abstract:
We demonstrate that nonlinear response functions in many-body systems carry a sharp signature of interactions between gapped low-energy quasiparticles. Such interactions are challenging to deduce from linear response measurements. The signature takes the form of a divergent-in-time contribution to the response – linear in time in the case when quasiparticles propagate ballistically – that is absent for free bosonic excitations. We give a physically transparent semiclassical picture of this singular behaviour. While the semiclassical picture applies to a broad class of systems we benchmark it in two simple models: in the Ising chain using a form-factor expansion, and in a nonintegrable model — the spin-1 AKLT chain — using time-dependent density matrix renormalization group (tDMRG) simulations. We comment on extensions of these results to finite temperatures.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevLett.131.256505

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Hertford College
Role:
Author


Publisher:
American Physical Society
Journal:
Physical Review Letters More from this journal
Volume:
131
Article number:
256505
Publication date:
2023-12-22
Acceptance date:
2023-11-15
DOI:
EISSN:
1079-7114
ISSN:
0031-9007


Language:
English
Keywords:
Pubs id:
1338207
Local pid:
pubs:1338207
Deposit date:
2023-11-16

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