QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911575738155008 |
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| author | Lychkovskiy, Oleg Khrushchev, Viacheslav Shirokov, Ilya |
| author_facet | Lychkovskiy, Oleg Khrushchev, Viacheslav Shirokov, Ilya |
| contents | We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 systems on one-, two-, and three-dimensional hypercubic lattices. The computation is performed algebraically directly in the thermodynamic limit, and the Hamiltonian parameters are kept symbolic. Importantly, this way the entire parameter space is covered in a single run. The implementation supports extensive parallelization to achieve high computational performance. QCommute enables the investigation of quantum dynamics in strongly correlated regimes that are inaccessible to perturbative approaches, either through direct Taylor expansion in time or via advanced techniques such as the recursion method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04778 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems Lychkovskiy, Oleg Khrushchev, Viacheslav Shirokov, Ilya Strongly Correlated Electrons Quantum Physics We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 systems on one-, two-, and three-dimensional hypercubic lattices. The computation is performed algebraically directly in the thermodynamic limit, and the Hamiltonian parameters are kept symbolic. Importantly, this way the entire parameter space is covered in a single run. The implementation supports extensive parallelization to achieve high computational performance. QCommute enables the investigation of quantum dynamics in strongly correlated regimes that are inaccessible to perturbative approaches, either through direct Taylor expansion in time or via advanced techniques such as the recursion method. |
| title | QCommute: a tool for symbolic computation of nested commutators in quantum many-body spin-1/2 systems |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2604.04778 |