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Topological Quantum Critical Points in the Extended Bose-Hubbard Model
Joana Fraxanet1, Daniel González-Cuadra1,2,3, Tilman Pfau4
1ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels, Barcelona, Spain.
Physical Review Letters
|February 11, 2022
Summary
We discovered topological quantum critical points in the 1D extended Bose-Hubbard model, featuring unique edge states. This finding opens avenues for experimental studies using quantum gas microscopy.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Topological Matter
Background:
- The interplay of topology and quantum criticality leads to exotic phenomena.
- Strongly correlated quantum systems offer a rich platform for exploring novel physics.
Purpose of the Study:
- To investigate topological properties in the 1D extended Bose-Hubbard model.
- To identify and characterize topological quantum critical points and their associated phases.
Main Methods:
- Theoretical analysis of the 1D extended Bose-Hubbard model.
- Investigation of string correlation functions to identify long-range order.
- Proposal of a superresolution quantum gas microscopy scheme for experimental realization.
Main Results:
- Identification of two distinct topological quantum critical points.
- Observation of localized edge states and gapless bulk excitations.
- Characterization of topologically protected and trivial phases separated by critical points with persistent long-range order and a finite charge gap.
Conclusions:
- The 1D extended Bose-Hubbard model hosts unexpected topological properties at quantum critical points.
- Localized edge states are protected by a finite charge gap and persistent long-range order.
- A quantum gas microscopy scheme provides a pathway for experimental verification of these topological phenomena.
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