Quantum critical scaling of fidelity susceptibility
By A. F. Albuquerque, Fabien Alet, C. Sire, S. Capponi. 2009
163 citations recorded by the source corpus.
The behavior of the ground-state fidelity susceptibility in the vicinity of a quantum critical point is investigated. We derive scaling relations describing its singular behavior in the quantum critical regime. Unlike in previous studies, these relations are solely expressed in terms of conventional critical exponents. We also describe in detail a quantum Monte Carlo scheme that allows for the evaluation of the fidelity susceptibility for a large class of many-body systems and apply it in the study of the quantum phase transition for the transverse-field Ising model on the square lattice. Finite size analysis applied to the so obtained numerical results confirm the validity of our scaling relations. Furthermore, we analyze the properties of a closely related quantity, the ground-state energy’s second derivative, that can be numerically evaluated in a particularly efficient way. The usefulness of both quantities as alternative indicators of quantum criticality is examined.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/72789443b6fd40df2741fc1eae562a1d416ef458
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Geometry of quantum phase transitions (2019, background): “The universal scaling properties of quantities related to the fidelity approach, such as the fidelity susceptibility [195, 228, 229], the quantum geometric tensor [42, 160] and the Fisher information matrix [230], have been investigated and exploited in numerous scenarios.”
- At the limits of criticality-based quantum metrology: apparent super-Heisenberg scaling revisited (2017, unknown): “[54], if one uses this definition to calculate fidelity susceptibility χ̃FðλÞ [similarly as in Eq.”