The quantum Fisher information is reformulated as the connected symmetrized covariance of a time-integrated action deformation or as an insertion of the action derivative in the propagator within a path integral framework.
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Derives that ground-state overlap dominance after quenches requires the initial and final Bloch vectors to have positive dot product in every momentum sector, disproving the phase-based conjecture with explicit Kitaev-chain counterexamples.
Adding an auxiliary nonlinear term to the quantum Rabi model extends its quantum phase transition into a continuous regime, yielding globally diverging quantum Fisher information and criticality-enhanced metrology precision in dynamics that persists with decoherence.
Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.
citing papers explorer
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Path Integral Approach to Quantum Fisher Information
The quantum Fisher information is reformulated as the connected symmetrized covariance of a time-integrated action deformation or as an insertion of the action derivative in the propagator within a path integral framework.
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Exact Criterion for Ground-State Overlap Dominance after Quantum Quenches
Derives that ground-state overlap dominance after quenches requires the initial and final Bloch vectors to have positive dot product in every momentum sector, disproving the phase-based conjecture with explicit Kitaev-chain counterexamples.
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Globalized critical quantum metrology in dynamics of quantum Rabi model by auxiliary nonlinear term
Adding an auxiliary nonlinear term to the quantum Rabi model extends its quantum phase transition into a continuous regime, yielding globally diverging quantum Fisher information and criticality-enhanced metrology precision in dynamics that persists with decoherence.
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Exact Combinatorial Density of States for the Critical 1D Ising Model
Exact combinatorial density of states for the critical 1D antiferromagnetic Ising model derived via Fibonacci/Lucas sequences, Diophantine equations, and transfer-matrix closed forms for both open and periodic boundaries.