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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

In order to analyze the fidelity susceptibility of non-relativistic field theories, which are important in condensed matter systems, we generalize the proposal to obtain the fidelity susceptibility holographically to Lifshitz geometries. It…

Quantum Physics · Physics 2018-08-02 Davood Momeni , Mir Faizal , Aizhan Myrzakul , Ratbay Myrzakulov

In recent years, programmable Rydberg-atom arrays have been widely used to simulate new quantum phases and phase transitions, generating great interest among theorists and experimentalists. Based on the large-scale density matrix…

Strongly Correlated Electrons · Physics 2022-10-26 Xue-Jia Yu , Sheng Yang , Jinbo Xu , Limei Xu

We investigate the fidelity of the measurement-based quantum computation (MBQC) when it is coupled with boson environment, by measuring cluster state fidelity and gate fidelity. Two different schemes of cluster state preparation are…

Quantum Physics · Physics 2014-11-25 Jian Wang , Ding Zhong , Liangzhu Mu , Heng Fan

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 experimentally address the significance of fidelity as a figure of merit in quantum state reconstruction of discrete (DV) and continuous variable (CV) quantum optical systems. In particular, we analyze the use of fidelity in quantum…

In this article, we study the high order term of the fidelity of the Heisenberg chain with next-nearest-neighbor interaction and analyze its connection with quantum phase transition of Beresinskii-Kosterlitz-Thouless type happened in the…

Quantum Physics · Physics 2009-03-27 Li Wang , Shi-Jian Gu , Shu Chen

The entanglement entropy and quantum fidelity in a hard-core-boson model with nearest- and next-nearest-neighbor interactions are studied numerically. By using exact diagonalization and the density matrix renormalization group, the effects…

Strongly Correlated Electrons · Physics 2012-12-18 Jie Ren , Xuefen Xu , Liping Gu , Jialiang Li

We calculate the fidelity susceptibility chi_f for the Luttinger model and show that there is a universal contribution linear in temperature T (or inverse length 1/L). Furthermore, we develop an algorithm - based on a lattice path integral…

Strongly Correlated Electrons · Physics 2010-10-04 J. Sirker

We investigate the Loschmidt amplitude and dynamical quantum phase transitions in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model,…

Mesoscale and Nanoscale Physics · Physics 2020-01-09 Tomasz Masłowski , Nicholas Sedlmayr

Using the expression of the fidelity for the most general Gaussian quantum states, the quantum fidelity is studied for the states of a harmonic oscillator interacting with an environment, in particular with a thermal bath. The time…

Quantum Physics · Physics 2009-11-13 Aurelian Isar

A general framework for analyzing the recently discovered phase transitions in the steady state of dissipation-driven open quantum systems is still missing. In order to fill this gap we extend the so-called fidelity approach to quantum…

Quantum Physics · Physics 2014-02-12 Leonardo Banchi , Paolo Giorda , Paolo Zanardi

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 study the reduced fidelity between local states of lattice systems exhibiting topological order. By exploiting mappings to spin models with classical order, we are able to analytically extract the scaling behavior of the reduced fidelity…

Strongly Correlated Electrons · Physics 2009-06-11 Erik Eriksson , Henrik Johannesson

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 cannot completely rule out a weakly…

Strongly Correlated Electrons · Physics 2019-08-30 Gaoyong Sun , Bo-Bo Wei , Su-Peng Kou

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

We investigate fidelity, the Loschmidt echo, for a Bose-Einstein Condensate. It is found that the fidelity decays with time in various ways (exponential, Gaussian, and power-law), depending on the choice of initial coherent state as well as…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jie Liu , Wenge Wang , Chuanwei Zhang , Qian Niu , Baowen Li

Quantum phase transitions are studied in the non-chiral $p$-clock chain, and a new explicitly U(1)-symmetric clock model, by monitoring the ground-state fidelity susceptibility. For $p\ge 5$, the self-dual $\mathbb{Z}_p$-symmetric chain…

Strongly Correlated Electrons · Physics 2019-09-20 G. Sun , T. Vekua , E. Cobanera , G. Ortiz

Recently it has been shown that the fidelity of the ground state of a quantum many-body system can be used to detect its quantum critical points (QCPs). If g denotes the parameter in the Hamiltonian with respect to which the fidelity is…

Statistical Mechanics · Physics 2015-06-11 Manisha Thakurathi , Diptiman Sen , Amit Dutta

Quantum coherence reflects the origin of quantumness and might be capable of extracting the subtle nature of a system. We investigate the ground-state coherence and steered coherence in the Lipkin-Meshkov-Glick model and show that they…

Quantum Physics · Physics 2021-12-14 Ming-Liang Hu , Fan Fang , Heng Fan