Unveiling Intrinsic Many-Body Complexity by Compressing Single-Body Triviality
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| Format: | Preprint |
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2024
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| _version_ | 1866910556819030016 |
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| author | Liao, Ke Ding, Lexin Schilling, Christian |
| author_facet | Liao, Ke Ding, Lexin Schilling, Christian |
| contents | The simultaneous treatment of static and dynamical correlations in strongly-correlated electron systems is a critical challenge. In particular, finding a universal scheme for identifying a single-particle orbital basis that minimizes the representational complexity of the many-body wavefunction is a formidable and longstanding problem. As a substantial contribution towards its solution, we show that the total orbital correlation actually reveals and quantifies the intrinsic complexity of the wavefunction,once it is minimized via orbital rotations. To demonstrate the power of this concept in practice, an iterative scheme is proposed to optimize the orbitals by minimizing the total orbital correlation calculated by the tailored coupled cluster singles and doubles (TCCSD) ansatz. The optimized orbitals enable the limited TCCSD ansatz to capture more non-trivial information of the many-body wavefunction, indicated by the improved wavefunction and energy. An initial application of this scheme shows great improvement of TCCSD in predicting the singlet ground state potential energy curves of the strongly correlated C$_{\rm 2}$ and Cr$_{\rm 2}$ molecule. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_16841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unveiling Intrinsic Many-Body Complexity by Compressing Single-Body Triviality Liao, Ke Ding, Lexin Schilling, Christian Quantum Physics Chemical Physics The simultaneous treatment of static and dynamical correlations in strongly-correlated electron systems is a critical challenge. In particular, finding a universal scheme for identifying a single-particle orbital basis that minimizes the representational complexity of the many-body wavefunction is a formidable and longstanding problem. As a substantial contribution towards its solution, we show that the total orbital correlation actually reveals and quantifies the intrinsic complexity of the wavefunction,once it is minimized via orbital rotations. To demonstrate the power of this concept in practice, an iterative scheme is proposed to optimize the orbitals by minimizing the total orbital correlation calculated by the tailored coupled cluster singles and doubles (TCCSD) ansatz. The optimized orbitals enable the limited TCCSD ansatz to capture more non-trivial information of the many-body wavefunction, indicated by the improved wavefunction and energy. An initial application of this scheme shows great improvement of TCCSD in predicting the singlet ground state potential energy curves of the strongly correlated C$_{\rm 2}$ and Cr$_{\rm 2}$ molecule. |
| title | Unveiling Intrinsic Many-Body Complexity by Compressing Single-Body Triviality |
| topic | Quantum Physics Chemical Physics |
| url | https://arxiv.org/abs/2402.16841 |