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Related papers: Many-body reduced fidelity susceptibility in Lipki…

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We estimate here chiral susceptibility at finite temperature within the framework of the Nambu-Jona-Lasinio model (NJL) using the Wigner function approach. We also estimate it in the presence of chiral chemical potential ($\mu_5$) as well…

High Energy Physics - Phenomenology · Physics 2019-12-04 Arpan Das , Deepak Kumar , Hiranmaya Mishra

The global-state fidelity cannot characterize those quantum phase transitions (QPTs) induced by continuous level crossing due to its collapse around each crossing point. In this paper, we take the isotropic Lipkin-Meshkov-Glick (LMG) model…

Quantum Physics · Physics 2008-12-10 Ho-Man Kwok , Chun-Sing Ho , Shi-Jian Gu

The square-lattice $J_1$-$J_2$ transverse-field (TF) Ising model was investigated with the exact diagonalization (ED) method. In order to analyze the TF-driven phase transition, we applied the longitudinal-field fidelity susceptibility…

Statistical Mechanics · Physics 2026-01-06 Yoshihiro Nishiyama

The overlap (inner product) between the ground-state eigenvectors with proximate interaction parameters, the so-called fidelity, plays a significant role in the quantum-information theory. In this paper, the critical behavior of the…

Statistical Mechanics · Physics 2015-06-16 Yoshihiro Nishiyama

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

The Lipkin-Meshkov-Glick (LMG) model describes critical systems with interaction beyond the first-neighbor approximation. Here we address the characterization of LMG systems, i.e. the estimation of anisotropy, and show how criticality may…

Quantum Physics · Physics 2015-04-02 Giulio Salvatori , Antonio Mandarino , Matteo G. A. Paris

The time-dependent scaling of the thermoremanent and zero-field-cooled susceptiblities in ferromagnetic spin systems undergoing ageing after a quench to a temperature at or below criticality is studied. A recent debate on their…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Matthias Paessens , Michel Pleimling

For an extended Harper model, the fidelity for two lowest band edge states corresponding to different model parameters, the fidelity susceptibility and the von Neumann entropy of the lowest band edge states, and the spectrum-averaged von…

Quantum Physics · Physics 2009-11-13 Longyan Gong , Peiqing Tong

We study the finite-temperature behavior of the Lipkin-Meshkov-Glick model, with a focus on correlation properties as measured by the mutual information. The latter, which quantifies the amount of both classical and quantum correlations, is…

Statistical Mechanics · Physics 2012-02-01 J. Wilms , J. Vidal , F. Verstraete , S. Dusuel

The spin susceptibility $\chi(T)$ of strongly correlated Fermi systems is investigated in the density region where Fermi-liquid theory fails. We attribute this failure to a specific quantum phase transition associated with a rearrangement…

Strongly Correlated Electrons · Physics 2008-03-27 J. W. Clark , V. A. Khodel , M. V. Zverev

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

Dynamical heterogeneity and the decoupling of diffusion and structural relaxation in a supercooled liquid is investigated in terms of a time-dependent, fourth-order density correlation function. The generalized susceptibility $\chi_4(t)$…

Soft Condensed Matter · Physics 2007-05-23 S. C. Glotzer , V. N. Novikov , T. B. Schroeder

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

The nonlinear magnetic $\chi_{3}$ and spin-glass $\chi_{sg}$ susceptibilities in zero applied field are obtained, from tempered Monte Carlo simulations, for three different spin glasses (SGs) of Ising spins with quenched site disorder. We…

Statistical Mechanics · Physics 2015-05-30 Julio F. Fernández

Motivated by the growing importance of fidelity in quantum critical phenomena, we establish a general relation between fidelity and structure factor of the driving term in a Hamiltonian through a newly introduced concept: fidelity…

Quantum Physics · Physics 2009-11-13 Wen-Long You , Ying-Wai Li , Shi-Jian Gu

We derive the exact expression for the Uhlmann fidelity between arbitrary thermal Gibbs states of the quantum XY model in a transverse field with finite system size. Using it, we conduct a thorough analysis of the fidelity susceptibility of…

Quantum Physics · Physics 2021-09-24 Michał Białończyk , Fernando Javier Gómez-Ruiz , Adolfo del Campo

We calculate the chiral and thermal susceptibilities for two confining Dyson-Schwinger equation models of QCD with two light flavours, a quantitative analysis of which yields the critical exponents, beta and delta, that characterise the…

Nuclear Theory · Physics 2008-11-26 D. Blaschke , A. Hoell , C. D. Roberts , S. Schmidt

We introduce a model of the fidelity of open systems - fidelity being interpreted here as the compliance between corresponding figures of interest in two separate but communicating domains. A special case of fidelity is given by…

Other Computer Science · Computer Science 2014-01-21 Vincenzo De Florio

We study the effect of presence of different types of critical points such as ordinary critical point, multicritical point and quasicritical point along different paths on the Fidelity susceptibility and Loschmidt echo of a three spin…

Statistical Mechanics · Physics 2015-06-17 Atanu Rajak , Uma Divakaran

We compute analytically and numerically the four-point correlation function that characterizes non-trivial cooperative dynamics in glassy systems within several models of glasses: elasto-plastic deformations, mode-coupling theory (MCT),…

Disordered Systems and Neural Networks · Physics 2015-06-24 Cristina Toninelli , Matthieu Wyart , Ludovic Berthier , Giulio Biroli , Jean-Philippe Bouchaud