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A simple Mathematica code based on the differential realization of hard-core boson operators for finding exact solutions of the periodic-N spin-1/2 systems with or beyond nearest neighbor interactions is proposed, which can easily be used…

Quantum Physics · Physics 2009-11-13 Feng Pan , Xin Guan , Nan Ma , Wen-Juan Han , J. P. Draayer

Quantum critical chains are well described and understood by virtue of conformal field theory. Still the meaning of the real space entanglement spectrum -- the eigenvalues of the reduced density matrix -- of such systems remains in general…

Strongly Correlated Electrons · Physics 2015-06-23 Nicolas Laflorencie , Stephan Rachel

We show that using a slightly modified XX model for a spin-1/2 chain, one can transmit almost perfectly a maximally entangled two-qubit state from one end of the chain to the other one. This is accomplished without external fields or…

Quantum Physics · Physics 2018-08-06 Rafael Vieira , Gustavo Rigolin

The characterization of an infinite-order quantum phase transition (QPT) by entanglement measures is analyzed. To this aim, we consider two closely related solvable spin-1/2 chains, namely, the Ashkin-Teller and the staggered XXZ models.…

Quantum Physics · Physics 2015-03-13 C. C. Rulli , M. S. Sarandy

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

Statistical Mechanics · Physics 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras

We discuss entanglement and critical properties of the spin-3/2 XXZ chain in its entire gapless region. Employing density-matrix renormalization group calculations combined with different methods based on level spectroscopy, correlation…

Strongly Correlated Electrons · Physics 2012-04-11 Marcello Dalmonte , Elisa Ercolessi , Luca Taddia

One-dimensional spin-1/2 systems are well-known candidates to study the quantum correlations between particles. In the condensed matter physics, studies often are restricted to the 1st neighbor particles. In this work, we consider the 1D…

Strongly Correlated Electrons · Physics 2017-11-08 Salimeh Mahdavifar , Saeed Mahdavifar , R. Jafari

The infinite Heisenberg XXZ spin-(1/2) chain in the gapped antiferromagnetic regime has two degenerate vacua and kink topological excitations (which are also called spinons) interpolating between these vacua as elementary excitations.…

Strongly Correlated Electrons · Physics 2022-10-17 S. B. Rutkevich

We introduce an analytical $XX$ spin chain with asymmetrical transport properties. It has an even number $N+1$ of sites labeled by $n=0,\cdots N$. It does not exhibit perfect state transfer (PST) from end-to-end but rather from the first…

Quantum Physics · Physics 2020-01-08 Gabriel Coutinho , Luc Vinet , Hanmeng Zhan , Alexei Zhedanov

We calculate exactly the entanglement content of magnon excited states in the integrable spin-1/2 XXX and XXZ chains in the scaling limit. In particular, we show that as far as the number of excited magnons with respect to the size of the…

Statistical Mechanics · Physics 2022-02-16 Jiaju Zhang , M. A. Rajabpour

A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently strong transverse field. This is proved by a refinement of…

Quantum Physics · Physics 2020-01-08 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

We compute the finite size spectrum for the spin 1/2 XXZ chain with twisted boundary conditions, for anisotropy in the regime $0< \gamma <\pi/2$, and arbitrary twist $\theta$. The string hypothesis is employed for treating complex…

High Energy Physics - Theory · Physics 2008-11-26 T. Nassar , O. Tirkkonen

We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the…

Statistical Mechanics · Physics 2017-03-23 Trithep Devakul , Satya N. Majumdar , David A. Huse

We present numerical evidences for the logarithmic scaling of the entanglement entropy in critical random spin chains. Very large scale exact diagonalizations performed at the critical XX point up to L=2000 spins 1/2 lead to a perfect…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie

We study a Hamiltonian system describing a three-spin-1/2 cluster-like interaction competing with an Ising-like anti-ferromagnetic interaction. We compute free energy, spin correlation functions and entanglement both in the ground and in…

The scaling limit of the Heisenberg XXZ spin chain at zero magnetic field is studied in the gapped antiferromagnetic phase. For a spin-chain ring having $N_x$ sites, the universal Casimir scaling function, which characterises the leading…

Statistical Mechanics · Physics 2020-03-11 S. B. Rutkevich

We study entanglement entropy (EE) for a Maxwell field in 2+1 dimensions. We do numerical calculations in two dimensional lattices. This gives a concrete example of the general results of our recent work on entropy for lattice gauge fields…

High Energy Physics - Theory · Physics 2015-06-19 Horacio Casini , Marina Huerta

The paper presents a new numerical approach for studying the thermodynamical and dynamical properties of finite spin-$\frac{1}{2}$ $XY$ chains. Special attention is given to examining the influence of disorder on the average transverse…

Condensed Matter · Physics 2007-05-23 O. Derzhko , T. Krokhmalskii

We consider a chain of spin-half particles of a finite length, evolved with the mixed-field Ising Hamiltonian and impose open boundary condition. We simulate the time evolution of entanglement entropy and mutual information following quench…

Statistical Mechanics · Physics 2024-02-22 Surbhi Khetrapal , Emil Tore Mærsk Pedersen

We report on measurements of single electron tunneling through a quantum dot using a quantum point contact as non-invasive charge detector with fast time response. We elaborate on the unambiguous identification of individual tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-03-03 Christian Fricke , Frank Hohls , Christian Flindt , Rolf J. Haug
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