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A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tuned by reducing the transverse trap potential or increasing…

统计力学 · 物理学 2011-04-11 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of…

统计力学 · 物理学 2009-11-13 Austen Lamacraft , Paul Fendley

Quantum dynamics of strongly correlated systems is a challenging problem. Although the low energy fractional excitations of one dimensional integrable models are often well-understood, exploring quantum dynamics in these systems remains…

强关联电子 · 物理学 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

We study non-equilibrium dynamics for an ensemble of tilted one-dimensional atomic Bose-Hubbard chains after a sudden quench to the vicinity of the transition point of the Ising paramagnetic to anti-ferromagnetic quantum phase transition.…

Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

统计力学 · 物理学 2009-08-11 Ying Li , M. X. Huo , Z. Song

We study the dynamical quantum phase transitions (DQPTs) manifested in the subsequent unitary dynamics of an extended Ising model with additional three spin interactions following a sudden quench. Revisiting the equilibrium phase diagram of…

统计力学 · 物理学 2018-04-24 Sourav Bhattacharjee , Amit Dutta

We construct and analyze a two-dimensional frustrated quantum spin model with plaquette order, in which the low-energy dynamics is controlled by spin singlets. At a critical value of frustration the singlet spectrum becomes gapless,…

强关联电子 · 物理学 2016-08-31 Valeri N. Kotov , Michael E. Zhitomirsky , Oleg P. Sushkov

We investigate the critical behavior of a spin chain coupled to bosonic baths characterized by a spectral density proportional to $\omega^s$, with $s>1$. Varying $s$ changes the effective dimension $d_\text{eff} = d + z$ of the system,…

统计力学 · 物理学 2012-06-13 Iver Bakken Sperstad , Einar B. Stiansen , Asle Sudbø

The nonintegrable transverse-field Ising model is a common platform for studying ergodic quantum dynamics. In this work, we introduce a simple variant of the model in which this ergodic behaviour is suppressed by introducing a spatial…

量子物理 · 物理学 2025-12-24 Gaurav Rudra Malik , Jeet Sharma , Rohit Kumar Shukla , S. Aravinda , Sunil Kumar Mishra

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

无序系统与神经网络 · 物理学 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

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…

Multicritical Ising models and their perturbations are paradigmatic models of statistical mechanics. In two space-time dimensions, these models provide a fertile testbed for investigation of numerous non-perturbative problems in…

量子物理 · 物理学 2023-12-13 Ananda Roy

Motivated by the compound ${\rm LiHo}_x{\rm Y}_{1-x}{\rm F}_4$, we consider the Ising chain with random couplings and in the presence of simultaneous random transverse and longitudinal fields, and study its low-energy properties at zero…

无序系统与神经网络 · 物理学 2023-03-07 Tamás Pető , Ferenc Iglói , István A. Kovács

We investigate the tricritical Ising model in complex magnetic field in order to characterize the analytic structure of its free energy. By supplementing analytic methods with the truncation of conformal space technique we obtain…

高能物理 - 理论 · 物理学 2014-11-18 Alessandro Mossa , Giuseppe Mussardo

Entropy accumulation near a quantum critical point was expected based on general scaling arguments, and has recently been explicitly observed. We explore this issue further in two canonical models for quantum criticality, with particular…

强关联电子 · 物理学 2011-04-04 Jianda Wu , Lijun Zhu , Qimiao Si

We study the real-time dynamics of a quantum Ising chain driven periodically by instantaneous quenches of the transverse field (the transverse field varying as rectangular wave symmetric about zero). Two interesting phenomena are reported…

量子物理 · 物理学 2012-08-13 Sirshendu Bhattacharyya , Arnab Das , Subinay Dasgupta

CoNb$_2$O$_6$ is a unique magnetic material. It features bulk three-dimensional magnetic order at low temperatures, but its quantum critical behavior in a magnetic field is well described by the one-dimensional transverse-field Ising…

强关联电子 · 物理学 2026-01-01 Logan Sowadski , Thomas Vojta

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

量子物理 · 物理学 2022-05-26 Ananda Roy , Hubert Saleur

The fractal structure and scaling properties of a 2d slice of the 3d Ising model is studied using Monte Carlo techniques. The percolation transition of geometric spin (GS) clusters is found to occur at the Curie point, reflecting the…

统计力学 · 物理学 2011-01-20 Abbas Ali Saberi , Horr Dashti-Naserabadi

The two-dimensional scaling Ising model in a magnetic field at critical temperature is integrable and possesses eight stable particles A_i (i=1,...,8) with different masses. The heaviest five lie above threshold and owe their stability to…

高能物理 - 理论 · 物理学 2010-04-05 G. Delfino , P. Grinza , G. Mussardo