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The dynamical structure factor of the transverse field Ising model (TFIM) shows universal power-law divergence at its quantum critical point, signatures of which have been arguably observed in inelastic neutron scattering studies of quantum…

强关联电子 · 物理学 2025-06-24 Uliana E. Khodaeva , Dmitry L. Kovrizhin , Johannes Knolle

The transverse field Ising chain (TFIC) model is ideally suited for testing the fundamental ideas of quantum phase transitions, because its well-known $T=0$ ground state can be extrapolated to finite temperatures. Nonetheless, the lack of…

强关联电子 · 物理学 2014-07-17 A. W. Kinross , M. Fu , T. J. Munsie , H. A. Dabkowska , G. M. Luke , S. Sachdev , T. Imai

We present asymptotically exact results for the real time order parameter correlations of a class of d=1 Ising models in a transverse field at low temperatures (T) on both sides of the quantum critical point. The correlations are a product…

凝聚态物理 · 物理学 2016-08-31 Subir Sachdev , A. P. Young

A spectrum exhibiting $E_8$ symmetry is expected to arise when a small longitudinal field is introduced in the transverse-field Ising chain at its quantum critical point. Evidence for this spectrum has recently come from neutron scattering…

强关联电子 · 物理学 2014-12-12 Jianda Wu , Márton Kormos , Qimiao Si

We study the relaxation dynamics of a quantum Ising chain initially prepared in a product of canonical states corresponding each to an equilibrium state of part of the chain at a given temperature. We focus our attention on the transverse…

统计力学 · 物理学 2009-11-11 Thierry Platini , Dragi Karevski

The mechanism underlying charge transport in strongly correlated quantum systems, such as doped antiferromagnetic Mott insulators, remains poorly understood. Here we study the expansion dynamics of an initially localized hole inside a…

量子气体 · 物理学 2022-07-13 Lauritz Hahn , Annabelle Bohrdt , Fabian Grusdt

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

统计力学 · 物理学 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

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…

强关联电子 · 物理学 2019-02-06 Julia Steinberg , N. P. Armitage , Fabian H. L. Essler , Subir Sachdev

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

无序系统与神经网络 · 物理学 2009-10-31 A. L. Chudnovskiy

Recently, single-site observables have been shown to be useful for the detection of dynamical criticality due to an emergence of a universal critically-prethermal temporal regime in the magnetization [arXiv:2105.05986]. Here, we explore the…

量子气体 · 物理学 2023-11-09 Ceren B. Dağ , Philipp Uhrich , Yidan Wang , Ian P. McCulloch , Jad C. Halimeh

We revisit the one-dimensional ferromagnetic Ising spin-chain with a finite number of spins and periodic boundaries and derive analytically and verify numerically its various stationary and dynamical properties at different temperatures. In…

Motivated by experimental developments in non-Kramers spin ice materials and the unclear role of disorder therein, we study the impact of random transverse fields on the dynamics of correlated magnetic systems. We model the effect of…

强关联电子 · 物理学 2025-07-17 Yufei Pei , Claudio Castelnovo , Roderich Moessner

We consider the time evolution of observables in the transverse field Ising chain (TFIC) after a sudden quench of the magnetic field. We provide exact analytical results for the asymptotic time and distance dependence of one- and two-point…

强关联电子 · 物理学 2011-06-03 Pasquale Calabrese , Fabian H. L. Essler , Maurizio Fagotti

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…

无序系统与神经网络 · 物理学 2009-10-30 F. Igloi , H. Rieger

We discuss the origin of an enigmatic low-temperature behavior of one-dimensional decorated spin systems which was coined the pseudo-transition. Tracing out the decorated parts results in the standard Ising-chain model with…

统计力学 · 物理学 2021-05-07 Taras Krokhmalskii , Taras Hutak , Onofre Rojas , Sergio Martins de Souza , Oleg Derzhko

The spin excitations from the nonmagnetic charge-ordered insulating state of $\alpha$-(BEDT-TTF)$_2$I$_3$ at ambient pressure have been investigated by probing the static and low-frequency dynamic spin susceptibilities via site-selective…

强关联电子 · 物理学 2016-09-08 Kyohei Ishikawa , Michihiro Hirata , Dong Liu , Kazuya Miyagawa , Masafumi Tamura , Kazushi Kanoda

We investigate the non-equilibrium states of an interacting multi-component quantum system when only an extensive subsystem is quantum-quenched or driven from the ground state. As a concrete example, we consider a system where two XXZ spin…

强关联电子 · 物理学 2022-02-14 Finn Lasse Buessen , Hyun-Yong Lee , Tarun Grover , Yong Baek Kim

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

统计力学 · 物理学 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

Quantum annealing in the transverse-field Ising model (TFIM) with open-system dynamics is known to use thermally-assisted tunneling to drive computation. However, it is still subject to debate whether quantum systems in the presence of…

量子物理 · 物理学 2022-02-14 Daniel O'Connor , Louis Fry-Bouriaux , Paul Warburton

We investigate signatures of quantum chaos within Ising spin chains subjected to transverse and longitudinal fields, incorporating both local (nearest-neighbor) and non-local (long-range) couplings. While local Ising models may exhibit…

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