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Within the numerically exact solution to the Dicke model proposed previously, we study the quantum criticality in terms of the ground-state (GS) energy, fidelity, and the order parameter. The finite size scaling analysis for the average…

Quantum Physics · Physics 2015-05-13 Tao Liu , Yu-Yu Zhang , Qing-Hu Chen , Ke-Lin Wang

We show that the peak which can be observed in fidelity susceptibility around the Berezinskii-Kosterlitz-Thouless transition is shifted from the quantum critical point (QCP) at $J_c$ to $J^*$ in the gapped phase by a value $|J^* - J_c| =…

Statistical Mechanics · Physics 2019-08-28 Lukasz Cincio , Marek M. Rams , Jacek Dziarmaga , Wojciech H. Zurek

An interplay between non-Hermiticity and disorder plays an important role in condensed matter physics. Here, we report the universal critical behaviors of the Anderson transitions driven by non-Hermitian disorders for three dimensional (3D)…

Disordered Systems and Neural Networks · Physics 2021-03-09 Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

We study the fidelity susceptibility in the two-dimensional(2D) transverse field Ising model and the 2D XXZ model numerically. It is found that in both models, the fidelity susceptibility as a function of the driving parameter diverges at…

Statistical Mechanics · Physics 2015-05-14 Wing-Chi Yu , Ho-Man Kwok , Junpeng Cao , Shi-Jian Gu

We provide two inequalities for estimating adiabatic fidelity in terms of two other more handily calculated quantities, i.e., generalized orthogonality catastrophe and quantum speed limit. As a result of considering a two-dimensional…

Quantum Physics · Physics 2022-11-01 Jyong-Hao Chen , Vadim Cheianov

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

We apply the fidelity metric approach to analyze two recently introduced models that exhibit a quantum phase transition to a topologically ordered phase. These quantum models have a known connection to classical statistical mechanical…

Quantum Physics · Physics 2008-07-03 Damian F. Abasto , Alioscia Hamma , Paolo Zanardi

We investigate the behavior of the periodic Anderson model in the presence of $d$-$f$ Coulomb interaction ($U_{df}$) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach…

Strongly Correlated Electrons · Physics 2013-04-01 I. Hagymasi , K. Itai , J. Solyom

The three-dimensional Anderson model with a rectangular distribution of site disorder displays two distinct localization-delocalization transitions, against varying disorder intensity, for a relatively narrow range of Fermi energies. Such…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. L. A. de Queiroz

We study a generalized Aubry-Andre model that obeys $\mathcal{PT}$-symmetry. We observe a robust $\mathcal{PT}$-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being…

Disordered Systems and Neural Networks · Physics 2021-02-03 Sebastian Schiffer , Xia-Ji Liu , Hui Hu , Jia Wang

The Aubry-Andr\'e-Harper model provides a paradigmatic example of aperiodic order in a one-dimensional lattice displaying a delocalization-localization phase transition at a finite critical value $V_c$ of the quasiperiodic potential…

Disordered Systems and Neural Networks · Physics 2021-03-29 Stefano Longhi

We study quantum criticality in the doped two-dimensional periodic Anderson model with the hybridization acting as a tuning parameter. Employing the dynamical vertex approximation we find two distinct quantum critical behaviors. One is a…

Strongly Correlated Electrons · Physics 2025-03-13 M. Kitatani , T. Schäfer , A. A. Katanin , A. Toschi , K. Held

The Kondo effect is an ubiquitous phenomenon appearing at low temperature in quantum confined systems coupled to a continuous bath. Efforts in understanding and controlling it have triggered important developments across several disciplines…

Strongly Correlated Electrons · Physics 2015-12-09 Lei Wang , Hiroshi Shinaoka , Matthias Troyer

By means of the density matrix renormalization group technique, the scaling relation of the fidelity susceptibility proposed recently is verified for the spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the results…

Quantum Physics · Physics 2008-01-14 Yu-Chin Tzeng , Min-Fong Yang

We show that for quantum phase transitions with a single bosonic zero mode at the critical point, like the Dicke model and the Lipkin-Meshkov-Glick model, metric quantities such as fidelity, that is, the overlap between two ground states…

Quantum Physics · Physics 2012-08-30 Wen-ge Wang , Pinquan Qin , Qian Wang , Giuliano Benenti , Giulio Casati

We introduce the operator fidelity and propose to use its susceptibility for characterizing the sensitivity of quantum systems to perturbations. Two typical models are addressed: one is the transverse Ising model exhibiting a quantum phase…

Quantum Physics · Physics 2009-11-13 Xiaoguang Wang , Zhe Sun , Z. D. Wang

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

Disordered Systems and Neural Networks · Physics 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

The information-geometric origin of fidelity susceptibility and its utility as a universal probe of quantum criticality in many-body settings have been widely discussed. Here we explore the metric response of quantum relative entropy (QRE),…

Statistical Mechanics · Physics 2026-05-15 Pritam Sarkar , Diptiman Sen , Arnab Sen

We study ground state fidelity defined as the overlap between two ground states of the same quantum system obtained for slightly different values of the parameters of its Hamiltonian. We focus on the thermodynamic regime of the XY model and…

Quantum Physics · Physics 2015-03-19 Marek M. Rams , Bogdan Damski

The fidelity susceptibility and entanglement entropy in a system of two-leg $XXZ$ spin ladder with rung coupling is investigated by using exact diagonalization of the system. The effects of rung coupling on fidelity susceptibility,…

Quantum Physics · Physics 2010-04-22 Jie Ren , Shiqun Zhu