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Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach
Open accessAbstract
The eigenstates of many-body localized (MBL) Hamiltonians exhibit low entanglement. We adapt the highly successful density-matrix renormalization group method, which is usually used to find modestly entangled ground states of local Hamiltonians, to find individual highly excited eigenstates of MBL Hamiltonians. The adaptation builds on the distinctive spatial structure of such eigenstates. We benchmark our method against the well-studied random field Heisenberg model in one dimension. At moderate to large disorder, the method successfully obtains excited eigenstates with high accuracy, thereby enabling a study of MBL systems at much larger system sizes than those accessible to exact-diagonalization methods.
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Cites
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The density-matrix renormalization group in the age of matrix product states
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Many-body localization: An introduction and selected topics
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Self-citationStability and instability towards delocalization in many-body localization systems
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Metadata
- Authors
- Khemani, V., Pollmann, F., & Sondhi, S. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2016-06-17
- Volume
- 116
- Issue
- 24
- Pages
- 247204-247204
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2219591659
- Cited by
- 163
- References
- 4
- FWCI
- 12.54
- Type
- journal article
- Language
- en
- Open access
- green
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- Khemani, V., Pollmann, F., & Sondhi, S. L. (2016). Obtaining Highly Excited Eigenstates of Many-Body Localized Hamiltonians by the Density Matrix Renormalization Group Approach. Physical Review Letters. https://doi.org/10.1103/physrevlett.116.247204
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