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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 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

We consider translationally invariant quantum spin-$\frac{1}{2}$ chains with local interactions and a discrete symmetry that is spontaneously broken at zero temperature. We envision experimenters switching off the couplings between two…

Statistical Mechanics · Physics 2025-07-08 Vanja Marić , Florent Ferro , Maurizio Fagotti

We describe random loop models and their relations to a family of quantum spin systems on finite graphs. The family includes spin 1/2 Heisenberg models with possibly anisotropic spin interactions and certain spin 1 models with…

Mathematical Physics · Physics 2013-08-23 Daniel Ueltschi

Many synthetic quantum systems allow particles to have dispersion relations that are neither linear nor quadratic functions. Here, we explore single-particle scattering in general spatial dimension $D\geq 1$ when the density of states…

Quantum Physics · Physics 2021-10-20 Yidan Wang , Michael J. Gullans , Xuesen Na , Seth Whitsitt , Alexey V. Gorshkov

Critical behavior of the quantum phase transition of a site-diluted Heisenberg antiferromagnet on a square lattice is investigated by means of the quantum Monte Carlo simulation with the continuous-imaginary-time loop algorithm. Although…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. Yasuda , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

The effect of antiferromagnetic interchain coupling in alternating spin (1,1/2) chains is studied by mean of a spin wave theory and density matrix renormalization group (DMRG). In particular, two limiting cases are investigated, the two-leg…

Statistical Mechanics · Physics 2009-11-07 Adolfo E. Trumper , Claudio Gazza

We study a driven-dissipative model of spins one-half (qubits) on a lattice with nearest-neighbor interactions. Focusing on the role of spatially extended spin-spin correlations in determining the phases of the system, we characterize the…

Quantum Physics · Physics 2020-08-12 Haggai Landa , Marco Schiró , Grégoire Misguich

The synthetic spin-orbit coupled quantum gases is widely studied both experimentally and theoretically in recent years. As previous studies show, this modification of single-body dispersion will in general couple different partial waves and…

Quantum Gases · Physics 2018-04-25 Pengfei Zhang , Ning Sun

We have carried out extensive series studies, at T=0 and at high temperatures, of 2-chain and 3-chain spin-half ladder systems with antiferromagnetic intrachain and both antiferromagnetic and ferromagnetic interchain couplings. Our results…

Condensed Matter · Physics 2009-10-28 J. Oitmaa , Rajiv R. P Singh , Zheng Weihong

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

Quantum Physics · Physics 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

Using the transfer matrix method, we numerically investigate the structure of spatial coherences and their fluctuations in the 3d Anderson model in the metallic phase when driven out-of-equilibrium by external leads at zero temperature and…

Statistical Mechanics · Physics 2024-06-11 Ludwig Hruza , Tony Jin

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [A. Rapp, G. Zarand, Phys. Rev. B 74, 014433 (2006)] can also be used for the…

Statistical Mechanics · Physics 2009-01-26 Akos Rapp , Gergely Zarand

For special coupling ratios, the one-dimensional (1D) s=1/2 Heisenberg model with antiferromagnetic nearest and next-nearest neighbor interactions has a pure dimer ground state, and the 1D s=1 Heisenberg model with antiferromagnetic…

Condensed Matter · Physics 2009-10-28 Yongmin Yu , Gerhard Müller

We study the relation between the spectral gap above the ground state and the decay of the correlations in the ground state in quantum spin and fermion systems with short-range interactions on a wide class of lattices. We prove that, if two…

Mathematical Physics · Physics 2009-11-11 Matthew B. Hastings , Tohru Koma

We introduce a geometric scaling relation that characterizes the local scale behavior of correlations using the informational distance $d_E = K_0/\sqrt{I}$, where $I$ is the mutual information. We define a geometric conversion factor, $G…

Statistical Mechanics · Physics 2025-12-02 Beau Leighton-Trudel

We investigate the effects of suppression of single-particle dispersion near the Fermi level on the spin gap and the singlet-pairing correlation by using the exact diagonalization method for finite-size systems. We consider strongly…

Strongly Correlated Electrons · Physics 2009-10-31 Masanori Kohno , Masatoshi Imada

We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field.…

Strongly Correlated Electrons · Physics 2015-05-30 Igor Lesanovsky

We consider the transverse Ising model in one dimension with nearest-neighbour interaction and calculate exactly the longitudinal spin-spin correlation for a class of excited states. These states are known to play an important role in the…

Statistical Mechanics · Physics 2007-05-23 Anjan Kumar Chandra , Subinay Dasgupta

In three-dimensional systems of the Ising universality class the ratio of correlation length amplitudes for the high- and low-temperature phases is a universal quantity. Its field theoretic determination apart from the $\epsilon$-expansion…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Muenster , Jochen Heitger
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