Operator fidelity susceptibility, decoherence and quantum criticality

Abstract

The extension of the notion of quantum fidelity from the state-space level to the operator one can be used to study environment-induced decoherence. state-dependent operator fidelity sucepti- bility (OFS), the leading order term for slightly different operator parameters, is shown to have a nontrivial behavior when the environment is at critical points. Two different contributions to OFS are identified which have distinct physical origins and temporal dependence. Exact results for the finite-temperature decoherence caused by a bath described by the Ising model in transverse field are obtained.

7 pages, 3 figures, references added

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• Oscillating fidelity susceptibility near a quantum multicritical point
• Reduced fidelity susceptibility and its finite-size scaling behaviors
• Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation
• Universally Robust Quantum Control
• Quantum Renormalization Group for Ground-State Fidelity
• Finite-temperature fidelity and von Neumann entropy in the honeycomb spin lattice with quantum Ising interaction
• Quantum chaos and operator fidelity metric
• Fidelity susceptibility and general quench near an anisotropic quantum critical point
• Density-functional fidelity approach to quantum phase transitions
• Fidelity induced distance measures for quantum states
• Exact thermal properties of free-fermionic spin chains
• Operator Quantum Geometric Tensor and Quantum Phase Transitions
• Sensitivity to perturbations and quantum phase transitions
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• The transition to chaos of coupled oscillators: An operator fidelity susceptibility study
• Bounds on quantum Fisher information and uncertainty relations for thermodynamically conjugate variables