Superfluidity in the one-dimensional Bose-Hubbard model Article Swipe

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YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1103/physrevb.105.134502

We study superfluidity in the 1D Bose-Hubbard model using a variational\nmatrix product state technique. We determine the superfluid density as a\nfunction of the Hubbard parameters by calculating the energy cost of phase\ntwists in the thermodynamic limit. As the system is critical, correlation\nfunctions decay as power laws and the entanglement entropy grows with the bond\ndimension of our variational state. We relate the resulting scaling laws to the\nsuperfluid density. We compare two different algorithms for optimizing the\ninfinite matrix product state and develop a physical explanation why one of\nthem (VUMPS) is more efficient than the other (iDMRG). Finally, we comment on\nfinite-temperature superfluidity in one dimension and how our results can be\nrealized in cold atom experiments.\n

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Superfluidity Matrix product state Quantum entanglement Physics Hubbard model Density matrix Dimension (graph theory) Statistical physics Quantum mechanics Entropy (arrow of time) Quantum Mathematics Superconductivity Pure mathematics

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Type: article
Language: en
Landing Page: https://doi.org/10.1103/physrevb.105.134502
OA Status: green
Cited By: 20
References: 101
Related Works: 10
OpenAlex ID: https://openalex.org/W4223912744

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DOI: https://doi.org/10.1103/physrevb.105.134502

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Title: Superfluidity in the one-dimensional Bose-Hubbard model

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Language: en

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Publication year: 2022

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Publication date: 2022-04-04

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Authors: Thomas G. Kiely, Erich J. Mueller

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Landing page: https://doi.org/10.1103/physrevb.105.134502

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Concepts: Superfluidity, Matrix product state, Quantum entanglement, Physics, Hubbard model, Density matrix, Dimension (graph theory), Statistical physics, Quantum mechanics, Entropy (arrow of time), Quantum, Mathematics, Superconductivity, Pure mathematics

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Cited by: 20

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