The DOI matches its Crossref record; 67 of the 67 references it cites were found in a registry or an index.
Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
Open accessAbstract
Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum many-body systems in and out of equilibrium. In particular, the one-dimensional matrix-product (MPS) formalism is by now an established tool in condensed matter theory and quantum chemistry. In these lecture notes, we combine a compact review of basic TPS concepts with the introduction of a versatile tensor library for Python (TeNPy) [1]. As concrete examples, we consider the MPS based time-evolving block decimation and the density matrix renormalization group algorithm. Moreover, we provide a practical guide on how to implement abelian symmetries (e.g., a particle number conservation) to accelerate tensor operations.
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Citations
Cites
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“np_conserved, which also contains functions for all the basic operations on tensors represented by an Array class, with an interface very similar to that of the NumPy (and SciPy) library [68].”
MethodEntanglement Entropy and Quantum Field Theory
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Cited by
The ITensor Software Library for Tensor Network Calculations
Fishman, M., White, S., & Stoudenmire, E. M. (2022) · SciPost Physics Codebases · doi:10.21468/scipostphyscodeb.4 · Cited by 1,084
Evidence for the utility of quantum computing before fault tolerance
Kim, Y., Eddins, A., Anand, S., Wei, K. X., van den Berg, E., Rosenblatt, S., Nayfeh, H., Wu, Y., Zaletel, M., Temme, K., et al. (2023) · Nature · doi:10.1038/s41586-023-06096-3 · Cited by 1,050
Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
Scholl, P., Schuler, M., Williams, H. J., Eberharter, A. A., Barredo, D., Schymik, K.-N., Lienhard, V., Henry, L.-P., Lang, T. C., Lahaye, T., et al. (2021) · Nature · doi:10.1038/s41586-021-03585-1 · Cited by 688
Magnetically mediated hole pairing in fermionic ladders of ultracold atoms
Hirthe, S., Chalopin, T., Bourgund, D., Bojović, P., Bohrdt, A., Demler, E., Grusdt, F., Bloch, I., & Hilker, T. A. (2023) · Nature · doi:10.1038/s41586-022-05437-y · Cited by 91
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Magnon spectra of cuprates beyond spin wave theory
Bao, J., Gohlke, M., Rau, J. G., & Shannon, N. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.l012053 · Cited by 5
Unconventional spin dynamics and supersolid excitations in the triangular-lattice XXZ model
Flores-Calderón, R., Moessner, R., & Pollmann, F. (2025) · Physical Review B · doi:10.1103/xdwz-8k94 · Cited by 3
Self-citationPhases of interacting Fibonacci anyons on a ladder at half-filling
Kirchner, N., Moessner, R., Pollmann, F., & Gammon-Smith, A. (2026) · Physical Review B · doi:10.1103/c92g-mhly
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Metadata
- Authors
- Hauschild, J., & Pollmann, F.
- Venue
- SciPost Physics Lecture Notes
- Publisher
- Stichting SciPost
- Published
- 2018-10-08
- ISSN
- 2590-1990 (ISSN-L)
- OpenAlex
- W2798727936
- Cited by
- 438
- References
- 67
- FWCI
- 10.63
- Type
- journal article
- Language
- en
- Open access
- diamond
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