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We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block decimation method, a finite string…

Statistical Mechanics · Physics 2013-05-30 Hai Tao Wang , Bo Li , Sam Young Cho

The finite temperature phase diagram is obtained for an infinite honeycomb lattice with spin-$1/2$ Ising interaction $J$ by using thermal-state fidelity and von Neumann entropy based on the infinite projected entangled pair state algorithm…

Strongly Correlated Electrons · Physics 2017-06-21 Yan-Wei Dai , Qian-Qian Shi , Sam Young Cho , Murray T. Batchelor , Huan-Qiang Zhou

Topological insulators and topological superconductors display various topological phases that are characterized by different Chern numbers or by gapless edge states. In this work we show that various quantum information methods such as the…

Strongly Correlated Electrons · Physics 2015-03-18 T. P. Oliveira , P. D. Sacramento

We study the scaling behavior of fidelity susceptibility density $(\chi_{\rm f})$ at or close to an anisotropic quantum critical point characterized by two different correlation length exponents $\nu_{||}$ and $\nu_{\bot}$ along parallel…

Statistical Mechanics · Physics 2011-06-20 Victor Mukherjee , Amit Dutta

In this paper we apply the formalism of translation invariant (continuous) matrix product states in the thermodynamic limit to $(1+1)$ dimensional critical models. Finite bond dimension bounds the entanglement entropy and introduces an…

Quantum Physics · Physics 2015-06-18 Vid Stojevic , Jutho Haegeman , I. P. McCulloch , L. Tagliacozzo , Frank Verstraete

We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory.…

Quantum Physics · Physics 2009-11-11 R. Orus , J. I. Latorre , J. Eisert , M. Cramer

We study the field dependence of the entanglement of formation in anisotropic S=1/2 antiferromagnetic chains and two-leg ladders displaying a T=0 field-driven quantum phase transition. The analysis is carried out via Quantum Monte Carlo…

Quantum Physics · Physics 2007-05-23 Tommaso Roscilde , Paola Verrucchi , Andrea Fubini , Stephan Haas , Valerio Tognetti

We study the one-dimensional hard-core Bose-Hubbard model with three-body interactions. In previous work[1], the two-thirds filling solid with both bond-wave order (BOW) and charge-density wave order (CDW) is found and it undergoes a second…

Quantum Gases · Physics 2014-11-04 Jie Ren , Tao Wang , Xue-Fen Xu , Xue-Feng Zhang

Non-local orders, entanglement entropy, and quantum fidelity are investigated in an infinite-size bond-alternating Ising chain with the Dzyaloshinskii-Moriya interaction by employing the infinite matrix product state representation with the…

Strongly Correlated Electrons · Physics 2013-10-14 Hai Tao Wang , Sam Young Cho

The quantum phase transition (QPT) of the one-dimensional (1D) quantum compass model in a transverse magnetic field is studied in this paper. An exact solution is obtained by using an extended Jordan and Wigner transformation to the…

Quantum Physics · Physics 2009-11-21 Ke-Wei Sun , Qing-Hu Chen

We study the quantum entanglement and quantum phase transition of the non-Hermitian anisotropic spin-$\frac{1}{2}$ XY model and XXZ model with the staggered imaginary field by analytical methods and numerical exact diagonalization,…

Strongly Correlated Electrons · Physics 2025-10-21 Ling-Feng Zhang , Wing Chi Yu

The entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when…

Strongly Correlated Electrons · Physics 2017-08-02 Pranay Patil , Ying Tang , Emanuel Katz , Anders W. Sandvik

We present a detailed study of the fidelity, the entanglement entropy, and the entanglement spectrum, for a dimerized chain of spinless fermions---a simplified Su-Schrieffer-Heeger (SSH) model---with open boundary conditions which is a…

Strongly Correlated Electrons · Physics 2014-10-22 J. Sirker , M. Maiti , N. P. Konstantinidis , N. Sedlmayr

We study scaling of the ground-state fidelity in neighborhoods of quantum critical points in a model of interacting spinfull fermions - a BCS-like model. Due to the exact diagonalizability of the model, in one and higher dimensions, scaling…

Statistical Mechanics · Physics 2015-02-19 Mariusz Adamski , Janusz Jedrzejewski , Taras Krokhmalskii

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

We study the ground state properties of bosons in a tilted double-well system. We use fidelity susceptibility to identify the possible ground state transitions under different tilt values. For a very small tilt (for example $10^{-10}$), two…

Quantum Physics · Physics 2012-02-21 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

Strongly Correlated Electrons · Physics 2016-05-18 Irénée Frérot , Tommaso Roscilde

In a D=2+1 quantum critical system, the entanglement entropy across a boundary with a corner contains a subleading logarithmic scaling term with a universal coefficient. It has been conjectured that this coefficient is, to leading order,…

Strongly Correlated Electrons · Physics 2014-12-10 E. M. Stoudenmire , Peter Gustainis , Ravi Johal , Stefan Wessel , Roger G. Melko

In order to investigate the quantum phase transition in the one-dimensional quantum compass model, we numerically calculate non-local string correlations, entanglement entropy, and fidelity per lattice site by using the infinite matrix…

Strongly Correlated Electrons · Physics 2013-11-07 Hai Tao Wang , Sam Young Cho

Fidelity approach to quantum phase transitions uses the overlap between ground states of the system to gain some information about its quantum phases. Such an overlap is called fidelity. We illustrate how this approach works in the one…

Quantum Physics · Physics 2015-09-16 Bogdan Damski