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Related papers: Full counting statistics in the gapped XXZ spin ch…

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We calculate exactly cumulant generating functions (full counting statistics) for the transverse, staggered magnetization and the domain walls at zero temperature for a finite interval of the XY spin chain. In particular, we also derive a…

Statistical Mechanics · Physics 2021-04-09 Filiberto Ares , M. A. Rajabpour , Jacopo Viti

We consider the full probability distribution for the transverse magnetization of a finite subsystem in the transverse field Ising chain. We derive a determinant representation of the corresponding characteristic function for general…

Statistical Mechanics · Physics 2018-07-04 Stefan Groha , Fabian H. L. Essler , Pasquale Calabrese

We consider full counting statistics of spin in matrix product states. In particular, we study the approach to gaussian distribution for magnetization. We derive the asymptotic corrections to the central limit theorem for magnetization…

Statistical Mechanics · Physics 2016-09-21 Yifei Shi , Israel Klich

Full counting statistics for an arbitrary spin operator is considered for the twisted XXX spin one-half chain. We use the quantum inverse scattering formalism and the modified algebraic Bethe ansatz to construct an explicit formula, given…

Mathematical Physics · Physics 2025-09-18 S. Belliard , A. Hutsalyuk

We investigate the dynamics of the XXZ spin chain after a geometric quench, which is realized by connecting two half-chains prepared in their ground states with zero and maximum magnetizations, respectively. The profiles of magnetization…

Statistical Mechanics · Physics 2019-05-15 Matthias Gruber , Viktor Eisler

We present analytical and numerical results regarding the magnetization full counting statistics (FCS) of a subsystem in the ground-state of the Haldane-Shastry chain. Exact Pfaffian expressions are derived for the cumulant generating…

Strongly Correlated Electrons · Physics 2017-01-19 Jean-Marie Stéphan , Frank Pollmann

We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ…

Statistical Mechanics · Physics 2020-03-27 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

The spin-1/2 Heisenberg chain exhibits a quantum critical regime characterized by quasi long-range magnetic order at zero temperature. We quantify the strength of quantum fluctuations in the ground state by determining the probability…

Statistical Mechanics · Physics 2017-10-11 Mario Collura , Fabian H. L. Essler , Stefan Groha

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

We consider the probability distributions of the subsystem (staggered) magnetization in ordered and disordered models of quantum magnets in D dimensions. We focus on Heisenberg antiferromagnets and long-range transverse-field Ising models…

Statistical Mechanics · Physics 2024-11-20 Riccardo Senese , Jacob H. Robertson , Fabian H. L. Essler

We investigate the spectrum of the partial transpose (negativity spectrum) of two adjacent regions in gapped one-dimensional models. We show that, in the limit of large regions, the negativity spectrum is entirely reconstructed from the…

Strongly Correlated Electrons · Physics 2017-04-18 Glen Bigan Mbeng , Vincenzo Alba , Pasquale Calabrese

We prove the existence of gapped quantum Hamiltonians whose ground states exhibit an infinite entanglement length, as opposed to their finite correlation length. Using the concept of entanglement swapping, the localizable entanglement is…

Quantum Physics · Physics 2007-05-23 F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

The random antiferromagnetic spin-1/2 XX and XXZ chain is studied numerically for varying strength of the disorder, using exact diagonalization and stochastic series expansion methods. The spin-spin correlation function as well as the…

Strongly Correlated Electrons · Physics 2009-11-10 Nicolas laflorencie , Heiko Rieger , Anders W. Sandvik , Patrik Henelius

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of this letter is to gain a deeper understanding of the…

Statistical Mechanics · Physics 2018-07-25 J. C. Xavier , F. C. Alcaraz , G. Sierra

We study the two-spin entanglement distribution along the infinite $S=1/2$ chain described by the XY model in a transverse field; closed analytical expressions are derived for the one-tangle and the concurrences $C_r$, $r$ being the…

Quantum Physics · Physics 2007-09-27 Fabrizio Baroni , Andrea Fubini , Valerio Tognetti , Paola Verrucchi

The critical behavior associated with a transverse magnetic field applied at the edge of a semi-infinite xxz S=1/2 chain is calculated using field theory techniques. Contrary to a recent claim, we find that the long-time behavior is given…

Strongly Correlated Electrons · Physics 2009-10-30 Ian Affleck

We calculate the entropy and cooling rate of the antiferromagnetic spin-1/2 XXZ chain under an adiabatic demagnetization process using the quantum transfer-matrix technique and non-linear integral equations. The limiting case of the Ising…

Strongly Correlated Electrons · Physics 2010-02-02 Christian Trippe , Andreas Honecker , Andreas Klümper , Vadim Ohanyan

The exact expression for the density matrix of the kink ground state of the ferromagnetic XXZ chain is obtained. Utilizing this, we exactly calculate various correlation functions such as the longitudinal and transverse spin-spin…

Statistical Mechanics · Physics 2009-03-17 Kohei Motegi , Kazumitsu Sakai

The entanglement in quantum XY spin chains of arbitrary length is investigated via the geometric (measure of) entanglement. The emergence of entanglement is explained intuitively from the perspective of perturbations. The model is solved…

Quantum Physics · Physics 2011-04-06 Tzu-Chieh Wei , Smitha Vishveshwara , Paul M. Goldbart

Current carrying steady states of interacting spin chains exhibit rich structures generated through an interplay of constraints from the Hamiltonian dynamics and those induced by the current. The \textit{XXZ} spin chain when coupled to…

Statistical Mechanics · Physics 2025-06-02 Sandipan Manna , G J Sreejith
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