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Role of quantum correlations with anisotropy and edges

Characterize the role of quantum correlations in rapidly rotating anisotropic Bose gases on a cylindrical Landau-gauge geometry, specifically determining how anisotropy and edge states influence correlations, phase boundaries, and observable properties of ground states and excitations within the lowest Landau level.

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Background

In the anisotropic, rapidly rotated limit, the system maps to a cylinder with open boundaries along the strong axis and periodic boundaries along the weak axis, making edge physics central. While edges and anisotropy provide a handle to probe FQH phenomena, their combined impact on many-body quantum correlations in bosonic systems is not fully established.

The authors explicitly note that the role of quantum correlations in the presence of anisotropy and edges is not well understood, indicating a gap in current theoretical understanding that affects interpretation of phases and transitions in this setting.

References

Furthermore, the role played by quantum correlations in the presence of anisotropy and edges is not yet well understood in the current literature.

Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas (2505.09452 - Tanyeri et al., 14 May 2025) in Section 1, Introduction