Matrix-product-state approach for qubits-waveguide systems in real space

• URL: http://arxiv.org/abs/2505.19424v1
• Date: Mon, 26 May 2025 02:31:58 GMT
• Title: Matrix-product-state approach for qubits-waveguide systems in real space
• Authors: Shimpei Goto,
• Abstract summary: We present a matrix-product-state-based numerical approach for simulating systems composed of several qubits and a common one-dimensional waveguide.<n>We demonstrate the potential of the presented approach by simulating superradiant phenomena within the Hamiltonian dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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