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We consider different disordered lattice models composed of $M$ linear chains glued together in a star-like manner, and study the scaling of the entanglement between one arm and the rest of the system using a numerical strong-disorder…

Statistical Mechanics · Physics 2018-08-09 Róbert Juhász , Johannes M. Oberreuter , Zoltán Zimborás

The end-to-end energy - energy correlations of random transverse-field quantum Ising spin chains are computed using a generalization of an asymptotically exact real-space renormalization group introduced previously. Away from the critical…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gil Refael , Daniel S. Fisher

We use the Density-Matrix Renormalization Group to study the single-particle and two-particle correlation functions of spinless fermions in the ground state of a quarter-filled ladder. This ladder consists of two chains having an in-chain…

Strongly Correlated Electrons · Physics 2009-11-07 L. G. Caron , C. Bourbonnais

Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences…

Strongly Correlated Electrons · Physics 2009-10-31 Victor Barzykin , Ian Affleck

We consider a chain of free electrons with periodically switched dimerization and study the entanglement entropy of a segment with the remainder of the system. We show that it evolves in a stepwise manner towards a value proportional to the…

Statistical Mechanics · Physics 2009-11-13 Viktor Eisler , Ingo Peschel

The finite-size critical properties of the ${\cal O}(n)$ vector $\phi^4$ model, with long-range interaction decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, are investigated. The system is confined to a…

Statistical Mechanics · Physics 2012-06-14 H. Chamati

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

We study the entanglement spectrum of Heisenberg spin ladders of arbitrary spin length S in the perturbative regime of strong rung coupling. For isotropic spin coupling the the entanglement spectrum is, within first order perturbation…

Statistical Mechanics · Physics 2012-11-29 John Schliemann , Andreas M. Läuchli

Based on the exact solution of the eigenvalue problem for the $U_q[sl(2|1)]$ vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and…

Statistical Mechanics · Physics 2015-03-17 Holger Frahm , Marcio J. Martins

We study the edge behavior of inhomogeneous one-dimensional quantum systems, such as Lieb-Liniger models in traps or spin chains in spatially varying magnetic fields. For free systems these fall into several universality classes, the most…

Statistical Mechanics · Physics 2019-05-13 Jean-Marie Stéphan

We clarified behavior of the excitation gap in a frustrated S=1/2 quantum spin chain with bond dimerization by using the numerical diagonalization of finite systems and a variational approach. The model interpolates between the independent…

Condensed Matter · Physics 2009-10-28 Tota Nakamura , Satoshi Takada

We study bipartite post measurement entanglement entropy after selective measurements in quantum chains. We first study the quantity for the critical systems that can be described by conformal field theories. We find a connection between…

Strongly Correlated Electrons · Physics 2017-02-01 Khadijeh Najafi , M. A. Rajabpour

We consider fermionic chains where the two halves are either metals with different bandwidths or a metal and an insulator. Both are coupled together by a special bond. We study the ground-state entanglement entropy between the two pieces,…

Statistical Mechanics · Physics 2015-07-09 Viktor Eisler , Ming-Chiang Chung , Ingo Peschel

We consider the non-equilibrium physics induced by joining together two tight binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains…

Statistical Mechanics · Physics 2016-09-29 Jacopo Viti , Jean-Marie Stéphan , Jérôme Dubail , Masudul Haque

In a quantum many-body system that possesses an additive conserved quantity, the entanglement entropy of a subsystem can be resolved into a sum of contributions from different sectors of the subsystem's reduced density matrix, each sector…

Statistical Mechanics · Physics 2020-03-26 Shachar Fraenkel , Moshe Goldstein

We calculate the ground state entanglement entropy between two heterogeneous parts of a free fermion chain. The two parts could be XX chains with different parameters or an XX half chain connected with a quantum Ising half chain. It is…

Statistical Mechanics · Physics 2018-07-27 Yuchi He

The Hubbard model is a longstanding problem in the theory of strongly correlated electrons and a very active one in the experiments with ultracold fermionic atoms. Motivated by current and prospective quantum simulations, we apply a…

Strongly Correlated Electrons · Physics 2022-11-07 Aritra Sinha , Marek M. Rams , Piotr Czarnik , Jacek Dziarmaga

We investigate the edge states and the topological phase transitions in a class of tight binding lattices in one dimension where a Su-Schrieffer-Heeger (SSH) model exists in disguise. The unit cells of such lattices may have an arbitrarily…

Disordered Systems and Neural Networks · Physics 2025-01-07 Subhajyoti Bid , Arunava Chakrabarti

We study the finite-size behavior of the low-lying excitations of spin-1/2 Heisenberg chains with dimerization and next-to-nearest neighbors interaction, J_2. The numerical analysis, performed using density-matrix renormalization group,…

Statistical Mechanics · Physics 2007-05-23 D. Controzzi , C. Degli Esposti Boschi , F. Ortolani , S. Pasini

A chiral symmetric Su-Schrieffer-Heeger (SSH) chain features topological end states in one of its dimerized configurations. Those mid-gap zero energy states show interesting modifications upon a periodic tuning of the hopping modulations.…

Strongly Correlated Electrons · Physics 2024-05-15 Surajit Mandal , Satyaki Kar