Coarse-grained Bootstrap of Quantum Many-body Systems
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914167646060544 |
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| author | Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan Zheng, Zechuan |
| author_facet | Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan Zheng, Zechuan |
| contents | We present a new computational framework combining coarse-graining techniques with bootstrap methods to study quantum many-body systems. The method efficiently computes rigorous upper and lower bounds on both zero- and finite-temperature expectation values of any local observables of infinite quantum spin chains. This is achieved by using tensor networks to coarse-grain bootstrap constraints, including positivity, translation invariance, equations of motion, and energy-entropy balance inequalities. Coarse-graining allows access to constraints from significantly larger subsystems than previously possible, yielding tighter bounds compared to those obtained without coarse-graining. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Coarse-grained Bootstrap of Quantum Many-body Systems Cho, Minjae Nancarrow, Colin Oscar Tadić, Petar Xin, Yuan Zheng, Zechuan High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics We present a new computational framework combining coarse-graining techniques with bootstrap methods to study quantum many-body systems. The method efficiently computes rigorous upper and lower bounds on both zero- and finite-temperature expectation values of any local observables of infinite quantum spin chains. This is achieved by using tensor networks to coarse-grain bootstrap constraints, including positivity, translation invariance, equations of motion, and energy-entropy balance inequalities. Coarse-graining allows access to constraints from significantly larger subsystems than previously possible, yielding tighter bounds compared to those obtained without coarse-graining. |
| title | Coarse-grained Bootstrap of Quantum Many-body Systems |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2412.07837 |