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Motivated by experimental results on compounds like ${\rm LiHo}_x{\rm Y}_{1-x}{\rm F}_4$, we consider an Ising chain with random bonds in the simultaneous presence of random transverse and longitudinal fields. We study the low-energy…

Disordered Systems and Neural Networks · Physics 2026-04-14 Tamás Petö , Ferenc Iglói , István A. Kovács

We calculate the ground-state two-spin correlation functions of spin-1/2 quantum Heisenberg chains with random exchange couplings using the real-space renormalization group scheme. We extend the conventional scheme to take account of the…

Statistical Mechanics · Physics 2009-10-31 T. Hikihara , A. Furusaki , M. Sigrist

We use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

Strongly Correlated Electrons · Physics 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small…

High Energy Physics - Theory · Physics 2020-01-29 G. P. Korchemsky

We study the ground state quantum correlation of Ising model in a transverse field (ITF) by implementing the quantum renormalization group (QRG) theory. It is shown that various quantum correlation measures and the…

Quantum Physics · Physics 2016-09-30 Meng Qin , Zhong-zhou Ren , Xin Zhang

Entanglement properties of excited eigenstates (or of thermal mixed states) are difficult to study with conventional analytical methods. We approach this problem for random spin chains using a recently developed real-space renormalization…

Disordered Systems and Neural Networks · Physics 2020-09-04 Yichen Huang , Joel E. Moore

We study transverse spin dynamics on a microscopic level by measuring energy-resolved spin correlations in weakly interacting Fermi gases (WIFGs). The trapped cloud behaves as a many-body spin-lattice in energy space with effective…

Quantum Gases · Physics 2024-02-26 J. Huang , J. E. Thomas

Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the…

Disordered Systems and Neural Networks · Physics 2009-03-15 Neşe Aral , A. Nihat Berker

An exact expression for the spin-spin correlation function is derived for the zero-temperature random-field Ising model defined on a Bethe lattice of arbitrary coordination number. The correlation length describing dynamic spin-spin…

Statistical Mechanics · Physics 2012-04-18 T. P. Handford , F. J. Perez-Reche , S. N. Taraskin

Using the Jordan-Wigner transformation and continued fractions we calculate rigorously the thermodynamic quantities for the spin-1/2 transverse Ising chain with periodically varying intersite interactions and/or on-site fields. We consider…

Statistical Mechanics · Physics 2009-11-10 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

Statistical Mechanics · Physics 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

The sensitivity of calorimetric energy-energy correlation function to the medium-induced energy loss of fast partons in high multiplicity heavy ion interactions is demonstrated at the appropriate selection of events for the analysis,…

High Energy Physics - Phenomenology · Physics 2015-12-30 I. P. Lokhtin , L. I. Sarycheva , A. M. Snigirev

We study the critical and off-critical (Griffiths-McCoy) regions of the random transverse-field Ising spin chain by analytical and numerical methods and by phenomenological scaling considerations. Here we extend previous investigations to…

Disordered Systems and Neural Networks · Physics 2009-10-30 F. Igloi , H. Rieger

The theory of dynamical quantum phase transitions represents an attempt to extend the concept of phase transitions to the far from equilibrium regime. While there are many formal analogies to conventional transitions, it is a major question…

Statistical Mechanics · Physics 2018-06-15 Daniele Trapin , Markus Heyl

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in transverse field at temperatures well below the energy gap. We find that the imaginary part is dominated by rare quantum processes in…

Strongly Correlated Electrons · Physics 2019-02-06 Julia Steinberg , N. P. Armitage , Fabian H. L. Essler , Subir Sachdev

The ground-state phase diagram and quantum phase transitions (QPTs) in a spin-1 compass chain are investigated by the infinite time-evolving block decimation (iTEBD) method. Various phases are discerned by energy densities, spin…

Strongly Correlated Electrons · Physics 2015-11-11 Guang-Hua Liu , Long-Juan Kong , Wen-Long You

Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of…

High Energy Physics - Phenomenology · Physics 2023-01-11 Hao Chen , Xinan Zhou , Hua Xing Zhu

An extension of the Ising spin configurations to continuous functions is used for an exact representation of the Random Field Ising Model's order parameter in terms of disagreement percolation. This facilitates an extension of the recent…

Mathematical Physics · Physics 2022-01-25 Michael Aizenman , Matan Harel , Ron Peled

We consider random transverse-field Ising spin chains and study the magnetization and the energy-density profiles by numerically exact calculations in rather large finite systems ($L\le 128$). Using different boundary conditions (free,…

Condensed Matter · Physics 2009-10-28 F. Igloi , H. Rieger