Reduced fidelity in topological quantum phase transitions

Abstract

We study the reduced fidelity between local states of lattice systems exhibiting topological order. By exploiting mappings to spin models with classical order, we are able to analytically extract the scaling behavior of the reduced fidelity at the corresponding quantum phase transitions out of the topologically ordered phases. Our results suggest that the reduced fidelity, albeit being a local measure, generically serves as a faithful marker of a topological quantum phase transition.

4 pages, 2 figures; published version

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Cited by in corpus (23)

• Quantum correlations in topological quantum phase transitions
• Intrinsic geometry of quantum adiabatic evolution and quantum phase transitions
• Interaction-induced anomalous quantum Hall state on the honeycomb lattice
• Fidelity susceptibility in the two-dimensional spin-orbit models
• Quantum fidelity for degenerate groundstates in quantum phase transitions
• Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit
• Quantum Renormalization Group for Ground-State Fidelity
• Entanglement modes and topological phase transitions in superconductors
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Reduced fidelity in Kitaev honeycomb model
• Ground-state fidelity in the BCS-BEC crossover
• Quantum phase transition between topologically distinct quantum critical points
• Many-body reduced fidelity susceptibility in Lipkin-Meshkov-Glick model
• Bound entanglement in quantum phase transitions
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Fidelity susceptibility of one-dimensional models with twisted boundary conditions
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Fibonacci anyon excitations of one-dimensional dipolar lattice bosons
• Vanishing k-space fidelity and phase diagram's bulk-edge-bulk correspondence
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Distinguishing dynamical quantum criticality through local fidelity distances