Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918148383440896 |
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| author | Valli, Angelo Moca, Cătălin Paşcu Werner, Miklós Antal Kormos, Márton Krajnik, Žiga Prosen, Tomaž Zaránd, Gergely |
| author_facet | Valli, Angelo Moca, Cătălin Paşcu Werner, Miklós Antal Kormos, Márton Krajnik, Žiga Prosen, Tomaž Zaránd, Gergely |
| contents | We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconstruct full counting statistics from the QGF. We demonstrate its potential on spin $S=1/2$ anisotropic Heisenberg chain, where we can reach time scales hitherto inaccessible to state-of-the-art classical and quantum simulations. Our results challenge the conjecture of the Kardar--Parisi--Zhang universality for isotropic integrable quantum spin chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains Valli, Angelo Moca, Cătălin Paşcu Werner, Miklós Antal Kormos, Márton Krajnik, Žiga Prosen, Tomaž Zaránd, Gergely Statistical Mechanics Quantum Physics We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconstruct full counting statistics from the QGF. We demonstrate its potential on spin $S=1/2$ anisotropic Heisenberg chain, where we can reach time scales hitherto inaccessible to state-of-the-art classical and quantum simulations. Our results challenge the conjecture of the Kardar--Parisi--Zhang universality for isotropic integrable quantum spin chains. |
| title | Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2409.14442 |