Measuring the topological phase transition via the single-particle density matrix

Abstract

We discuss the topological phase transition of the spin-$\frac{1}{2}$ fermionic Haldane model with repulsive on-site interaction. We show that the Berry curvature of the topological Hamiltonian, the first Chern number, and the topological phase transition point can be extracted from the single-particle density matrix for this interacting system. Furthermore, we design a tomography scheme for the single-particle density matrix of interacting fermionic two-band models in experimental realizations with cold atoms in optical lattices.

arXiv comment5 pages, 4 figures

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Cited by in corpus (10)

• Local readout and control of current and kinetic energy operators in optical lattices
• Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
• Interactions enable Thouless pumping in a nonsliding lattice
• Disorder in dissipation-induced topological states: Evidence for a different type of localization transition
• Interaction-driven topological phase transitions in fermionic SU($3$) systems
• Multi-frequency optical lattice for dynamic lattice-geometry control
• Local Chern marker of smoothly confined Hofstadter fermions
• Bulk topological proximity effect in multilayer systems
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
• Dynamical signatures of symmetry protected topology following symmetry breaking