Divergent nonlinear response from quasiparticle interactions
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866916117268660224 |
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| author | Fava, Michele Gopalakrishnan, Sarang Vasseur, Romain Essler, Fabian H. L. Parameswaran, S. A. |
| author_facet | Fava, Michele Gopalakrishnan, Sarang Vasseur, Romain Essler, Fabian H. L. Parameswaran, S. A. |
| contents | 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 an intuitive semiclassical picture of this singular behaviour, validated against exact results from a form-factor expansion of the Ising chain and tDMRG simulations in a non-integrable model -- the spin-1 AKLT chain. We comment on extensions of these results to more general settings, finite temperature, and higher dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_09490 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Divergent nonlinear response from quasiparticle interactions Fava, Michele Gopalakrishnan, Sarang Vasseur, Romain Essler, Fabian H. L. Parameswaran, S. A. Strongly Correlated Electrons Statistical Mechanics 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 an intuitive semiclassical picture of this singular behaviour, validated against exact results from a form-factor expansion of the Ising chain and tDMRG simulations in a non-integrable model -- the spin-1 AKLT chain. We comment on extensions of these results to more general settings, finite temperature, and higher dimensions. |
| title | Divergent nonlinear response from quasiparticle interactions |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2208.09490 |