Operator fidelity susceptibility: an indicator of quantum criticality

Abstract

We introduce the operator fidelity and propose to use its susceptibility for characterizing the sensitivity of quantum systems to perturbations. Two typical models are addressed: one is the transverse Ising model exhibiting a quantum phase transition, and the other is the one dimensional Heisenberg spin chain with next-nearest-neighbor interactions, which has the degeneracy. It is revealed that the operator fidelity susceptibility is a good indicator of quantum criticality regardless of the system degeneracy.

Four pages, two figures

References in corpus (7)

• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Fidelity of quantum operations
• Ground state fidelity from tensor network representations
• Fidelity and Quantum phase transition for the Heisenberg chain with the next-nearest-neighbor interaction
• Purity and State Fidelity of Quantum Channels via Hamiltonians
• Macroscopic Distinguishability Between Quantum States Defining Different Phases of Matter: Fidelity and the Uhlmann Geometric Phase
• Matrix realignment and partial transpose approach to entangling power of quantum evolutions