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

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Cited by in corpus (25)

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• Scaling dimension of fidelity susceptibility in quantum phase transitions
• Fidelity susceptibility in the two-dimensional transverse field Ising and XXZ models
• Quantum speed limits on operator flows and correlation functions
• Robust paths to realize nonadiabatic holonomic gates
• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Quantum fidelity for degenerate groundstates in quantum phase transitions
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• Quantum chaos and operator fidelity metric
• Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts
• Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits
• Operator Quantum Geometric Tensor and Quantum Phase Transitions
• Nonadiabatic geometric quantum gates with on-demand trajectories
• Sensitivity to perturbations and quantum phase transitions
• Fourier Quantum Process Tomography
• Scalable protocol to mitigate $ZZ$ crosstalk in universal quantum gates
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• The transition to chaos of coupled oscillators: An operator fidelity susceptibility study
• Retrieving space-dependent polarization transformations via near-optimal quantum process tomography
• A Quantum Fidelity Study of the Anisotropic Next-Nearest-Neighbour Triangular Lattice Heisenberg Model