Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates
Abstract
Entanglement Hamiltonian holds crucial clues in understanding quantum entanglement and its underlying phenomenon in strongly correlated systems. To date, however, a generic recipe to map out the operator form of entanglement Hamiltonian remains outstanding. In this work, we present a systematic framework which explicitly reconstructs entanglement Hamiltonian based on the information of one entangled mode of the reduced density matrix. Additionally, we demonstrate its successful application to quantum spin lattice models. The obtained entanglement Hamiltonians accurately recover the expectations from analytical theories and faithfully capture all features of the reduced density matrices, which are evidenced by the agreement between the original and reconstructed full entanglement spectra and the high density matrix fidelity.
- Authors:
-
[1];
[2];
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Westlake Inst. of Advanced Study, Hangzhou (China)
- Westlake Inst. of Advanced Study, Hangzhou (China)
- Harvard Univ., Cambridge, MA (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program; Gordon and Betty Moore Foundation; USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1650606
- Alternate Identifier(s):
- OSTI ID: 1546209
- Report Number(s):
- LA-UR-18-25481
Journal ID: ISSN 2469-9950; TRN: US2203143
- Grant/Contract Number:
- 89233218CNA000001; GBMF4306
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 23; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Strongly correlated systems; lattice models in condensed matter; many-body techniques
Citation Formats
Zhu, Wei, Huang, Zhoushen, and He, Yin-chen. Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.99.235109.
Zhu, Wei, Huang, Zhoushen, & He, Yin-chen. Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates. United States. https://doi.org/10.1103/PhysRevB.99.235109
Zhu, Wei, Huang, Zhoushen, and He, Yin-chen. Tue .
"Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates". United States. https://doi.org/10.1103/PhysRevB.99.235109. https://www.osti.gov/servlets/purl/1650606.
@article{osti_1650606,
title = {Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates},
author = {Zhu, Wei and Huang, Zhoushen and He, Yin-chen},
abstractNote = {Entanglement Hamiltonian holds crucial clues in understanding quantum entanglement and its underlying phenomenon in strongly correlated systems. To date, however, a generic recipe to map out the operator form of entanglement Hamiltonian remains outstanding. In this work, we present a systematic framework which explicitly reconstructs entanglement Hamiltonian based on the information of one entangled mode of the reduced density matrix. Additionally, we demonstrate its successful application to quantum spin lattice models. The obtained entanglement Hamiltonians accurately recover the expectations from analytical theories and faithfully capture all features of the reduced density matrices, which are evidenced by the agreement between the original and reconstructed full entanglement spectra and the high density matrix fidelity.},
doi = {10.1103/PhysRevB.99.235109},
journal = {Physical Review B},
number = 23,
volume = 99,
place = {United States},
year = {Tue Jun 04 00:00:00 EDT 2019},
month = {Tue Jun 04 00:00:00 EDT 2019}
}
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