Continuous Matrix Product Ansatz for the One-Dimensional Bose Gas with Point Interaction

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概要

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• We study a matrix product representation of the Bethe ansatz state for the Lieb–Linger model describing the one-dimensional Bose gas with delta-function interaction. We first construct eigenstates of the discretized model in the form of matrix product states using the algebraic Bethe ansatz. Continuous matrix product states are then exactly obtained in the continuum limit with a finite number of particles. The factorizing $F$-matrices in the lattice model are indispensable for the continuous matrix product states and lead to a marked reduction from the original bosonic system with infinite degrees of freedom to the five-vertex model.

• 2010-07-15

著者

• Maruyama Isao

  Graduate School Of Engineering Science Osaka University

• Katsura Hosho

  Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106, U.S.A.

• Maruyama Isao

  Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan

関連論文

• Entanglement Entropy and Energy Accuracy for the Small System Size : MPS, TTN, and MERA(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Boundary Operator in the Matrix Product States(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• Continuous Matrix Product Ansatz for the One-Dimensional Bose Gas with Point Interaction

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