Tunable superdiffusion in integrable spin chains using correlated initial states
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866913579392827392 |
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| author | Singh, Hansveer Kolodrubetz, Michael H. Gopalakrishnan, Sarang Vasseur, Romain |
| author_facet | Singh, Hansveer Kolodrubetz, Michael H. Gopalakrishnan, Sarang Vasseur, Romain |
| contents | Although integrable spin chains only host ballistically propagating particles they can still feature diffusive spin transport. This diffusive spin transport originates from quasiparticle charge fluctuations inherited from the initial state's magnetization Gaussian fluctuations. We show that ensembles of initial states with quasi-long range correlations lead to superdiffusive spin transport with a tunable dynamical exponent. We substantiate our prediction with numerical simulations and explain how deviations arise from finite time and finite size effects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04682 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tunable superdiffusion in integrable spin chains using correlated initial states Singh, Hansveer Kolodrubetz, Michael H. Gopalakrishnan, Sarang Vasseur, Romain Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics Although integrable spin chains only host ballistically propagating particles they can still feature diffusive spin transport. This diffusive spin transport originates from quasiparticle charge fluctuations inherited from the initial state's magnetization Gaussian fluctuations. We show that ensembles of initial states with quasi-long range correlations lead to superdiffusive spin transport with a tunable dynamical exponent. We substantiate our prediction with numerical simulations and explain how deviations arise from finite time and finite size effects. |
| title | Tunable superdiffusion in integrable spin chains using correlated initial states |
| topic | Statistical Mechanics Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2306.04682 |