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We employ an adaptation of a strong-disorder renormalization-group technique in order to analyze the ferro-paramagnetic quantum phase transition of Ising chains with aperiodic but deterministic couplings under the action of a transverse…

Statistical Mechanics · Physics 2012-03-16 Fleury J. Oliveira Filho , Maicon S. Faria , André P. Vieira

We study the criticality of long-range quantum ferromagnetic Ising chain with algebraically decaying interactions $1/r^{\alpha}$ via the fidelity susceptibility based on the exact diagonalization and the density matrix renormalization group…

Quantum Gases · Physics 2018-08-09 Zhangqi Zhu , Gaoyong Sun , Wen-Long You , Da-Ning Shi

We study the effect of long-range connections on the infinite-randomness fixed point associated with the quantum phase transitions in a transverse Ising model (TIM). The TIM resides on a long-range connected lattice where any two sites at a…

Disordered Systems and Neural Networks · Physics 2015-06-25 Amit Dutta , R. Loganayagam

We consider the behaviour of a critical system in the presence of a gradient perturbation of the couplings. In the direction of the gradient an interface region separates the ordered phase from the disordered one. We develop a scaling…

Other Condensed Matter · Physics 2009-10-06 Thierry Platini , Dragi Karevski , Loïc Turban

We numerically investigate classical and quantum correlations in one-dimensional quantum critical systems. The infinite matrix product state (iMPS) representation is employed in order to consider an infinite-size spin chain. By using the…

Strongly Correlated Electrons · Physics 2018-05-10 Yan-Wei Dai , Xi-Hao Chen , Sam Young Cho , Huan-Qiang Zhou , Dao-Xin Yao

The interplay of correlated spatial modulation and symmetry breaking leads to quantum critical phenomena intermediate between those of the clean and randomly disordered cases. By performing a detailed analytic and numerical case study of…

Disordered Systems and Neural Networks · Physics 2022-08-12 P. J. D. Crowley , C. R. Laumann , A. Chandran

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

Quantum Gases · Physics 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

We extend the formalism of entanglement renormalization to the study of boundary critical phenomena. The multi-scale entanglement renormalization ansatz (MERA), in its scale invariant version, offers a very compact approximation to quantum…

Strongly Correlated Electrons · Physics 2010-11-02 G. Evenbly , R. N. C. Pfeifer , V. Pico , S. Iblisdir , L. Tagliacozzo , I. P. McCulloch , G. Vidal

We provide a study of various quantum phase transitions occurring in the XY Heisenberg chain in a transverse magnetic field using the Meyer-Wallach (MW) measure of (global) entanglement. Such a measure, while being readily evaluated, is a…

Statistical Mechanics · Physics 2018-02-23 Roya Radgohar , Afshin Montakhab

We study the effects of measurements, performed with a finite density in space, on the ground state of the one-dimensional transverse-field Ising model at criticality. Local degrees of freedom in critical states exhibit long-range…

Statistical Mechanics · Physics 2023-06-29 Zack Weinstein , Rohith Sajith , Ehud Altman , Samuel J. Garratt

Quantum criticality of metal-insulator transitions in correlated electron systems is shownto belong to an unconventional universality class with violation of Ginzburg-Landau-Wilson(GLW) scheme formulated for symmetry breaking transitions.…

Strongly Correlated Electrons · Physics 2010-10-20 Takahiro Misawa , Masatoshi Imada

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

High Energy Physics - Lattice · Physics 2020-07-13 Michele Caselle , Marianna Sorba

An existing conjecture states that the Shannon mutual information contained in the ground state wavefunction of conformally invariant quantum chains, on periodic lattices, has a leading finite-size scaling behavior that, similarly as the…

Statistical Mechanics · Physics 2016-09-27 F. C. Alcaraz

We theoretically study the effect of long-ranged inhomogeneities on the critical properties of the integer quantum Hall transition. For this purpose we employ the real-space renormalization-group (RG) approach to the network model of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Cain , M. E. Raikh , R. A. Roemer , M. Schreiber

We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising…

Strongly Correlated Electrons · Physics 2023-02-28 Gaoyong Sun , Jia-Chen Tang , Su-Peng Kou

A useful approach to characterize and identify quantum phase transitions lies in the concept of multipartite entanglement. In this paper, we consider well-known measures of multipartite (global) entanglement, i.e., average linear entropy of…

Quantum Physics · Physics 2022-04-01 Elahe Samimi , Mohammad Hossein Zarei , Afshin Montakhab

Universality is key to the theory of phase transition stating that the equilibrium properties of observables near a phase transition can be classified according to few critical exponents. These exponents rule an universal scaling behaviour…

I investigate the quantum phase transition of the transverse-field quantum Ising model in which nearest neighbors are defined according to the connectivity of scale-free networks. Using a continuous-time quantum Monte Carlo simulation…

Statistical Mechanics · Physics 2015-06-23 Hangmo Yi

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

It is demonstrated that the scaled order parameter for ferromagnetic Ising and three-state Potts chains with inverse-square interactions exhibits a universal critical jump, in analogy with the superfluid density in helium films.…

Statistical Mechanics · Physics 2009-11-07 Erik Luijten , Holger Messingfeld