Matrix-product-state approach for qubits-waveguide systems in real space
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914267681259520 |
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| author | Goto, Shimpei |
| author_facet | Goto, Shimpei |
| contents | We present a matrix-product-state-based numerical approach for simulating systems composed of several qubits and a common one-dimensional waveguide. In the presented approach, the one-dimensional waveguide is modeled in real space. Thus, one can use the advantage of matrix-product states that are suited for simulating low-entangled one-dimensional systems. The price to pay is that the vacuum of the waveguide in this modeling becomes the Bogoliubov vacuum, and one has to consider a not-so-small local Hilbert space for bosonic degrees of freedom. To manage the large local Hilbert space, we adopt the recently proposed single-site schemes. We demonstrate the potential of the presented approach by simulating superradiant phenomena within the Hamiltonian dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix-product-state approach for qubits-waveguide systems in real space Goto, Shimpei Quantum Physics Statistical Mechanics We present a matrix-product-state-based numerical approach for simulating systems composed of several qubits and a common one-dimensional waveguide. In the presented approach, the one-dimensional waveguide is modeled in real space. Thus, one can use the advantage of matrix-product states that are suited for simulating low-entangled one-dimensional systems. The price to pay is that the vacuum of the waveguide in this modeling becomes the Bogoliubov vacuum, and one has to consider a not-so-small local Hilbert space for bosonic degrees of freedom. To manage the large local Hilbert space, we adopt the recently proposed single-site schemes. We demonstrate the potential of the presented approach by simulating superradiant phenomena within the Hamiltonian dynamics. |
| title | Matrix-product-state approach for qubits-waveguide systems in real space |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2505.19424 |