The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Ground State Fidelity from Tensor Network Representations
Open accessAbstract
For any D-dimensional quantum lattice system, the fidelity between two ground state many-body wave functions is mapped onto the partition function of a D-dimensional classical statistical vertex lattice model with the same lattice geometry. The fidelity per lattice site, analogous to the free energy per site, is well defined in the thermodynamic limit and can be used to characterize the phase diagram of the model. We explain how to compute the fidelity per site in the context of tensor network algorithms, and demonstrate the approach by analyzing the two-dimensional quantum Ising model with transverse and parallel magnetic fields.
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Cites
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Self-citationScaling of entanglement close to a quantum phase transition
Osterloh, A., Amico, L., Falci, G., & Fazio, R. (2002) · Nature · doi:10.1038/416608a · Cited by 1,860
Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions
Jordan, J., Orús, R., Vidal, G., Verstraete, F., & Cirac, J. I. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.250602 · Cited by 710
Self-citationQuantum critical scaling of the geometric tensors
Campos Venuti, L., & Zanardi, P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.095701 · Cited by 499
Cited by
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Orús, R., & Vidal, G. (2009) · Physical Review B · doi:10.1103/physrevb.80.094403 · Cited by 387
Self-citationGeometry and non-adiabatic response in quantum and classical systems
Kolodrubetz, M., Sels, D., Mehta, P., & Polkovnikov, A. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.07.001 · Cited by 326
Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems
Ran, S.-J., Tirrito, E., Peng, C., Chen, X., Tagliacozzo, L., Su, G., & Lewenstein, M. (2020) · Lecture Notes in Physics · doi:10.1007/978-3-030-34489-4 · Cited by 176
Entanglement renormalization and gauge symmetry
Tagliacozzo, L., & Vidal, G. (2011) · Physical Review B · doi:10.1103/physrevb.83.115127 · Cited by 104
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Metadata
- Authors
- Zhou, H.-Q., Orús, R., & Vidal, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-02-28
- Volume
- 100
- Issue
- 8
- Pages
- 080601-080601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2019707045
- Cited by
- 176
- References
- 5
- FWCI
- 11.80
- Type
- journal article
- Language
- en
- Open access
- green
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