English
Related papers

Related papers: Biorthogonal quantum criticality in non-Hermitian …

200 papers

By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points.…

Strongly Correlated Electrons · Physics 2024-07-12 Xue-Jia Yu , Wei-Lin Li

We study the random XY spin chain in a transverse field by analyzing the susceptibility of the ground state fidelity, numerically evaluated through a standard mapping of the model onto quasi-free fermions. It is found that the fidelity…

Quantum Physics · Physics 2009-02-05 Silvano Garnerone , N. Tobias Jacobson , Stephan Haas , Paolo Zanardi

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 study a cluster Ising model with non-Hermitian external field which can be exactly solved in the language of free fermions. By investigating the second derivative of energy density and fidelity, the possible new critical points are…

Statistical Mechanics · Physics 2022-05-31 Zheng-Xin Guo , Xue-Jia Yu , Xi-Dan Hu , Zhi Li

Non-Hermitian quantum many-body systems exhibit a rich array of physical phenomena, including non-Hermitian skin effects and exceptional points, that remain largely inaccessible to existing numerical techniques. In this work, we investigate…

Quantum Physics · Physics 2026-03-09 Massimo Solinas , Brandon Barton , Yuxuan Zhang , Jannes Nys , Juan Carrasquilla

Criticality in non-Hermitian systems unveils unique phase transitions and scaling behaviors beyond Hermitian paradigms, offering new insights into the interplay between gain/loss, non-reciprocity, and complex energy spectra. In this paper,…

Quantum Physics · Physics 2026-03-17 Yi Qin , Yee Sin Ang , Ching Hua Lee , Linhu Li

Non-Hermitian quantum system recently have attracted a lots of attentions theoretically and experimentally. However, the results based on the single-particle picture may not apply to understand the property of non-Hermitian many-body…

Quantum Physics · Physics 2023-10-23 Wen-Bin He , Jiasen Jin , Fernando Iemini , Hai-Qing Lin

The antiferromagnetic quantum Ising chain has a quantum critical point which belongs to the universality class of the transverse Ising model (TIM). When a longitudinal field ($h$) is switched on, the phase transition is preserved, which…

Statistical Mechanics · Physics 2021-05-12 Péter Lajkó , Ferenc Iglói

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

The geometric properties of quantum states is fully encoded by the quantum geometric tensor. The real and imaginary parts of the quantum geometric tensor are the quantum metric and Berry curvature, which characterize the distance and phase…

Quantum Physics · Physics 2024-11-07 Jun-Feng Ren , Jing Li , Hai-Tao Ding , Dan-Wei Zhang

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

The paradigmatic example of a continuous quantum phase transition is the transverse field Ising ferromagnet. In contrast to classical critical systems, whose properties depend only on symmetry and the dimension of space, the nature of a…

We study the quantum fidelity (groundstate overlap) near quantum phase transitions of the Ising universality class in one dimensional (1D) systems of finite size L. Prominent examples occur in magnetic systems (e.g. spin-Peierls, the…

Mesoscale and Nanoscale Physics · Physics 2016-06-30 E. J. König , A. Levchenko , N. Sedlmayr

We present the zero temperature phase diagram of the bond alternating Ising chain in the presence of Dzyaloshinskii-Moriya interaction. An abrupt change in ground state fidelity is a signature of quantum phase transition. We obtain the…

Strongly Correlated Electrons · Physics 2013-09-11 N. Amiri , A. Langari

We study the quantum fidelity approach to characterize thermal phase transitions. Specifically, we focus on the mixed-state fidelity induced by a perturbation in temperature. We consider the behavior of fidelity in two types of second-order…

Quantum Physics · Physics 2009-04-22 H. T. Quan , F. M. Cucchietti

The notion of fidelity in quantum information science has been recently applied to analyze quantum phase transitions from the viewpoint of the ground state (GS) overlap for various many-body systems. In this work, we unveil the intrinsic…

Other Condensed Matter · Physics 2008-03-25 Shu Chen , Li Wang , Yajiang Hao , Yupeng Wang

We study an Ising chain undergoing a quantum phase transition in a quantum magnetic field. Such a field can be emulated by coupling the chain to a central spin initially in a superposition state. We show that - by adiabatically driving such…

Quantum Physics · Physics 2012-09-14 Marek M. Rams , Michael Zwolak , Bogdan Damski

Identifying phase boundaries of interacting systems is one of the key steps to understanding quantum many-body models. The development of various numerical and analytical methods has allowed exploring the phase diagrams of many Hermitian…

Quantum Physics · Physics 2024-02-08 Sharareh Sayyad , Jose L. Lado

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

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