# Fidelity susceptibility in one-dimensional disordered lattice models

@article{Wei2019FidelitySI, title={Fidelity susceptibility in one-dimensional disordered lattice models}, author={Bobo Wei}, journal={Physical Review A}, year={2019} }

We investigate quantum phase transitions in one-dimensional quantum disordered lattice models, the Anderson model and the Aubry-Andr\'{e} model, from the fidelity susceptibility approach. First, we find that the fidelity susceptibility and the generalized adiabatic susceptibility are maximum at the quantum critical points of the disordered models, through which one can locate the quantum critical point in disordered lattice models. Second, finite-size scaling analysis of the fidelity…

## 6 Citations

Fidelity as a probe for a deconfined quantum critical point

- PhysicsPhysical Review B
- 2019

Deconfined quantum critical point was proposed as a second-order quantum phase transition between two broken symmetry phases beyond the Landau-Ginzburg-Wilson paradigm. However, numerical studies…

Critical properties of the ground-state localization-delocalization transition in the many-particle Aubry-André model

- Physics
- 2020

As opposed to random disorder, which localizes single-particle wave-functions in 1D at arbitrarily small disorder strengths, there is a localization-delocalization transition for quasi-periodic…

Quantum criticality and universality in the
p
-wave-paired Aubry-André-Harper model

- PhysicsPhysical Review A
- 2022

Ting Lv,1, 2 Tian-Cheng Yi,3 Liangsheng Li,4 Gaoyong Sun,1, 2 and Wen-Long You1, 2, ∗ College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China Key Laboratory of…

Quantum fidelity susceptibility in excited state quantum phase transitions: application to the bending spectra of nonrigid molecules

- PhysicsSciPost Physics
- 2022

We characterize excited state quantum phase transitions in the two dimensional limit of the vibron model with the quantum fidelity susceptibility, comparing the obtained results with the information…

Dynamics of a quantum phase transition in the Aubry-André-Harper model with
p
-wave superconductivity

- PhysicsPhysical Review B
- 2021

We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr\'e-Harper model with $p$-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we…

## References

SHOWING 1-10 OF 71 REFERENCES

Fidelity susceptibility in the quantum Rabi model

- Physics
- 2018

Quantum criticality usually occurs in many-body systems. Recently it was shown that the quantum Rabi model, which describes a two-level atom coupled to a single model cavity field, presents quantum…

Scaling of the fidelity susceptibility in a disordered quantum spin chain

- Physics
- 2009

The phase diagram of a quantum $XY$ spin chain with Gaussian-distributed random anisotropies and transverse fields is investigated, with focus on the fidelity susceptibility, a recently introduced…

Quantum critical scaling of fidelity susceptibility

- Physics
- 2009

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…

Fidelity Susceptibility Made Simple: A Unified Quantum Monte Carlo Approach

- Physics, Mathematics
- 2015

The fidelity susceptibility is a general purpose probe of phase transitions. With its origin in quantum information and in the differential geometry perspective of quantum states, the fidelity…

Generalized fidelity susceptibility at phase transitions.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2015

It is demonstrated that the QFS cannot capture the fourth-order quantum phase transition in a spin-1/2 anisotropic XY chain in the transverse alternating field, while a lower-order GFS can seize the criticalities.

Ground-state fidelity in one-dimensional gapless models

- Physics
- 2007

A general relation between quantum phase transitions and the second derivative of the fidelity (or the ``fidelity susceptibility'') is proposed. The validity and the limitation of the fidelity…

Fidelity susceptibility in the two-dimensional transverse-field Ising and XXZ models.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

The theoretical argument that fidelity susceptibility is a more sensitive seeker for a second-order quantum phase transition is testified in the two models.

Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model

- Physics
- 2013

We investigate the interaction-induced superfluid-to-Mott insulator transition in the one-dimensional Bose-Hubbard model (BHM) for fillings $n=1$, $n=2$, and $n=3$ by studying the single-particle…

Quantum fidelity for one-dimensional Dirac fermions and two-dimensional Kitaev model in the thermodynamic limit

- Physics
- 2012

We study the scaling behavior of the fidelity (F) in the thermodynamic limit using the examples of a system of
Dirac fermions in one dimension and the Kitaev model on a honeycomb lattice.We show…

Quantum renormalization group for ground-state fidelity

- Physics
- 2012

Ground-state fidelity (GSF) and quantum renormalization group (QRG) theory have proven to be useful tools in the study of quantum critical systems. Here we lay out a general, unified formalism of GSF…