Numerical study of boson mixtures with multi-component continuous matrix product states
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908741627019264 |
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| author | Tang, Wei Tuybens, Benoît Haegeman, Jutho |
| author_facet | Tang, Wei Tuybens, Benoît Haegeman, Jutho |
| contents | The continuous matrix product state (cMPS) ansatz is a promising numerical tool for studying quantum many-body systems in continuous space. Although it provides a clean framework that allows one to directly simulate continuous systems, the optimization of cMPS is known to be a very challenging task, especially in the case of multi-component systems. In this work, we have developed an improved optimization scheme for multi-component cMPS that enables simulations of bosonic quantum mixtures with substantially larger bond dimensions than previous works. We benchmark our method on the two-component Lieb-Liniger model, obtaining numerical results that agree well with analytical predictions. Our work paves the way for further numerical studies of quantum mixture systems using the cMPS ansatz. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_24998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical study of boson mixtures with multi-component continuous matrix product states Tang, Wei Tuybens, Benoît Haegeman, Jutho Quantum Gases Strongly Correlated Electrons Quantum Physics The continuous matrix product state (cMPS) ansatz is a promising numerical tool for studying quantum many-body systems in continuous space. Although it provides a clean framework that allows one to directly simulate continuous systems, the optimization of cMPS is known to be a very challenging task, especially in the case of multi-component systems. In this work, we have developed an improved optimization scheme for multi-component cMPS that enables simulations of bosonic quantum mixtures with substantially larger bond dimensions than previous works. We benchmark our method on the two-component Lieb-Liniger model, obtaining numerical results that agree well with analytical predictions. Our work paves the way for further numerical studies of quantum mixture systems using the cMPS ansatz. |
| title | Numerical study of boson mixtures with multi-component continuous matrix product states |
| topic | Quantum Gases Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2512.24998 |