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In this study, we explore the quantum critical phenomena in generalized Aubry-Andr\'{e} models, with a particular focus on the scaling behavior at various filling states. Our approach involves using quantum fidelity susceptibility to…

Quantum Physics · Physics 2024-05-24 Yu-Bin Liu , Wen-Yi Zhang , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

We study fidelity susceptibility in one-dimensional asymmetric Hubbard model, and show that the fidelity susceptibility can be used to identify the universality class of the quantum phase transitions in this model. The critical exponents…

Quantum Physics · Physics 2009-11-13 Shi-Jian Gu , Ho-Man Kwok , Wen-Qiang Ning , Hai-Qing Lin

We propose an optimal method exploiting second order quantum phase transitions to perform high precision measurements of the control parameter at criticality. Our approach accesses the high fidelity susceptibility via the measurement of…

Quantum Physics · Physics 2019-06-05 Luca Pezzè , Andreas Trenkwalder , Marco Fattori

We study the critical behaviors of the ground and first excited states in the one-dimensional nonreciprocal Aubry-Andr{\'e}-Harper model using both the self-normal and biorthogonal fidelity susceptibilities. We demonstrate that fidelity…

Disordered Systems and Neural Networks · Physics 2025-02-27 Chen-Chang Zeng , Zhen Cai , Guang-Heng Wang , Gaoyong Sun

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 phase transitions from a normal phase to a…

Quantum Physics · Physics 2018-01-30 Bo-Bo Wei , Xiao-Chen Lv

We study the quantum phase transitions in the two-dimensional spin-orbit models in terms of fidelity susceptibility and reduced fidelity susceptibility. An order-to-order phase transition is identified by fidelity susceptibility in the…

Strongly Correlated Electrons · Physics 2015-03-19 Wen-Long You , Yu-Li Dong

We investigated the fidelity susceptibility in the one-dimension (1D) Hubbard model and the extended Hubbard model at half-filling via the density matrix renormalization group. From the numerical results, we argue that in the 1D Hubbard…

Strongly Correlated Electrons · Physics 2014-08-13 Wing Chi Yu , Shi-Jian Gu , Hai-Qing Lin

In this paper, we explore quantum criticality in the disordered Aubry-Andr\'{e} (AA) model. For the pure AA model, it is well-known that it hosts a critical point separating an extended phase and a localized insulator phase by tuning the…

Disordered Systems and Neural Networks · Physics 2023-01-06 Xuan Bu , Liang-Jun Zhai , Shuai Yin

We investigate the fidelity susceptibility, which quantifies the sensitivity of single-particle eigenstates to perturbations, in the three-dimensional Anderson model. As a function of disorder strength $W$, it exhibits two distinct peaks.…

Disordered Systems and Neural Networks · Physics 2026-05-26 Piotr Tokarczyk , Lev Vidmar , Anatoli Polkovnikov , Patrycja Łydżba

We study slightly generalized quantum fidelity susceptibilities where the differential change in the fidelity is measured with respect to a different term than the one used for driving the system towards a quantum phase transition. As a…

Strongly Correlated Electrons · Physics 2013-04-30 Mischa Thesberg , Erik Sorensen

We have investigated scaling properties near the quantum critical point between the extended phase and the critical phase in the Aubry-Andr\'{e}-Harper model with p-wave pairing, which have rarely been exploited as most investigations focus…

Disordered Systems and Neural Networks · Physics 2022-10-19 Ting Lv , Yu-Bin Liu , Tian-Cheng Yi , Liangsheng Li , Maoxin Liu , Wen-Long You

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 susceptibility can indicate the presence of a…

Statistical Mechanics · Physics 2015-07-16 Lei Wang , Ye-Hua Liu , Jakub Imriška , Ping Nang Ma , Matthias Troyer

We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for non-interacting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies…

Statistical Mechanics · Physics 2011-11-17 J. C. C. Cestari , A. Foerster , M. A. Gusmão , M. Continentino

In this study, we investigate the localization transition and quantum criticality {in the ground state of the} disordered Aubry-Andr\'{e}-Harper (AAH) model, where a quasiperiodic potential is hybridized with a disordered potential. In the…

Disordered Systems and Neural Networks · Physics 2025-08-07 Tian-Cheng Yi , Ying-Ying Fang , Wen Chen , Wen-Long You , Yunbo Zhang

We study the critical properties of the Lipkin-Meshkov-Glick Model in terms of the fidelity susceptibility. By using the Holstein-Primakoff transformation, we obtain explicitly the critical exponent of the fidelity susceptibility around the…

Quantum Physics · Physics 2009-11-13 Ho-Man Kwok , Wen-Qiang Ning , Shi-Jian Gu , Hai-Qing Lin

In this work, we explore the critical behaviors of fidelity susceptibility and trace distance susceptibility associated to the steady states of dissipative systems at continuous phase transitions. We investigate on two typical models, one…

Quantum Physics · Physics 2022-05-31 Xingli Li , Yan Li , Jiasen Jin

A generalized version of the fidelity susceptibility of single-band and multi-orbital Hubbard models is systematically studied using single-site dynamical mean-field theory in combination with a hybridization expansion continuous-time…

Strongly Correlated Electrons · Physics 2016-12-08 Li Huang , Yilin Wang , Lei Wang , Philipp Werner

We use the fidelity approach to quantum critical points to study the zero temperature phase diagram of the one-dimensional Hubbard model. Using a variety of analytical and numerical techniques, we analyze the fidelity metric in various…

Statistical Mechanics · Physics 2009-11-13 L. Campos Venuti , M. Cozzini , P. Buonsante , F. Massel , N. Bray-Ali , P. Zanardi

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 information theoretical measure.…

Quantum Physics · Physics 2009-05-28 N. Tobias Jacobson , Silvano Garnerone , Stephan Haas , Paolo Zanardi

We study the fidelity susceptibility of quantum antiferromagnetic Ising chain with a long-range power law interaction $1/r^{\alpha}$ using the large-scale density matrix renormalization group method. We find that the critical adiabatic…

Strongly Correlated Electrons · Physics 2017-10-24 Gaoyong Sun
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