Quantum phase transitions in the matrix product states of the one-dimensional boson Hubbard model
- Title
- Quantum phase transitions in the matrix product states of the one-dimensional boson Hubbard model
- Author
- 차민철
- Issue Date
- 2022-12
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW B, v. 106, NO. 23, article no. 235121,
- Abstract
- We study quantum phase transitions in the matrix product states of the one-dimensional boson Hubbard model, whose amount of entanglement is limited by the size of the matrices used in the representation of the states. By measuring entanglement entropy and other physical properties, we observe that the Mott-insulator-to-superfluid transitions occur sharp and continuous, accompanied by shifting transition points that are not blurred by finite entanglement effects. This strongly suggests that the transition always occurs between the Mott insulator and a mean-field-like compressible state, followed by the more entangled superfluid state. Both O(2) and the commensurate-incommensurate transitions are studied, whose properties can be characterized by entanglement spectra and critical exponents.
- URI
- https://journals.aps.org/prb/abstract/10.1103/PhysRevB.106.235121https://repository.hanyang.ac.kr/handle/20.500.11754/182886
- ISSN
- 2469-9950;2469-9969
- DOI
- 10.1103/PhysRevB.106.235121
- Appears in Collections:
- COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > PHOTONICS AND NANOELECTRONICS(나노광전자학과) > Articles
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