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arXiv · 2512.24998

Numerical study of boson mixtures with multi-component continuous matrix product states

Wei Tang·Benoît Tuybens·Jutho Haegeman
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Abstract

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.

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Wei Tang, Benoît Tuybens, Jutho Haegeman. 2025-12-31. Numerical study of boson mixtures with multi-component continuous matrix product states. https://arxiv.org/abs/2512.24998

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