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We study the effects of Ohmic, super-Ohmic, and sub-Ohmic dissipation on the zero-temperature quantum phase transition in the random transverse-field Ising chain by means of an (asymptotically exact) analytical strong-disorder…

无序系统与神经网络 · 物理学 2012-05-03 J. A. Hoyos , Thomas Vojta

We investigate the quantum phase transition in the random transverse-field Ising model under the influence of Ohmic dissipation. To this end, we numerically implement a strong-disorder renormalization-group scheme. We find that Ohmic…

强关联电子 · 物理学 2010-01-18 Thomas Vojta , J. A. Hoyos

We present an analytical strong-disorder renormalization group theory of the quantum phase transition in the dissipative random transverse-field Ising chain. For Ohmic dissipation, we solve the renormalization flow equations analytically,…

强关联电子 · 物理学 2008-06-23 J. A. Hoyos , Thomas Vojta

The quantum phase transition of the one-dimensional long-range transverse-field Ising model is explored by combining the quantum Monte Carlo method and stochastic parameter optimization, specifically achieved by tuning correlation ratios so…

统计力学 · 物理学 2024-12-05 Sora Shiratani , Synge Todo

The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the…

统计力学 · 物理学 2021-06-30 J. Koziol , A. Langheld , S. C. Kapfer , K. P. Schmidt

We study the transverse-field Ising model on a square lattice with bond- and site-dilution at zero temperature by stochastic series expansion quantum Monte Carlo simulations. Tuning the transverse field $h$ and the dilution $p$, the quantum…

强关联电子 · 物理学 2025-05-13 C. Krämer , M. Hörmann , K. P. Schmidt

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…

量子物理 · 物理学 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the…

无序系统与神经网络 · 物理学 2014-08-25 Róbert Juhász , István A. Kovács , Ferenc Iglói

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure…

无序系统与神经网络 · 物理学 2009-11-10 Leticia F. Cugliandolo , Gustavo S. Lozano , Homero Lozza

We study the quantum phase transition in the two-dimensional random Ising model in a transverse field by Monte Carlo simulations. We find results similar to those known analytically in one-dimension: the dynamical exponent is infinite and,…

无序系统与神经网络 · 物理学 2016-08-31 C. Pich , A. P. Young

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in…

强关联电子 · 物理学 2009-01-06 Thomas Vojta , Chetan Kotabage , J. A. Hoyos

An efficient O(N) cluster Monte Carlo method for Ising models with long-range interactions is presented. Our novel algorithm does not introduce any cutoff for interaction range and thus it strictly fulfills the detailed balance. The…

统计力学 · 物理学 2009-11-13 Kouki Fukui , Synge Todo

An efficient Monte Carlo algorithm for the simulation of spin models with long-range interactions is discussed. Its central feature is that the number of operations required to flip a spin is independent of the number of interactions…

统计力学 · 物理学 2007-05-23 Erik Luijten

We investigate quantum phase transitions in the transverse field Ising chain with algebraically decaying long-range (LR) antiferromagnetic interactions using the variational Monte Carlo method with the restricted Boltzmann machine employed…

统计力学 · 物理学 2024-06-14 Jicheol Kim , Dongkyu Kim , Dong-Hee Kim

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

统计力学 · 物理学 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty

The dynamical critical exponent $z$ is a fundamental quantity in characterizing quantum criticality, and it is well known that the presence of dissipation in a quantum model has significant impact on the value of $z$. Studying quantum Ising…

统计力学 · 物理学 2010-03-18 Iver B. Sperstad , Einar B. Stiansen , Asle Sudbo

We consider the random transverse-field Ising model in $d=3$ dimensions with long-range ferromagnetic interactions which decay as a power $\alpha > d$ with the distance. Using a variant of the strong disorder renormalization group method we…

统计力学 · 物理学 2016-06-08 István A. Kovács , Róbert Juhász , Ferenc Iglói

We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a…

强关联电子 · 物理学 2024-08-28 C. Krämer , J. A. Koziol , A. Langheld , M. Hörmann , K. P. Schmidt

We use Monte Carlo simulations to study chains of Ising- and XY-spins with dissipation coupling to the site variables. The phase diagram and critical exponents of the dissipative Ising chain in a transverse magnetic field have been computed…

统计力学 · 物理学 2015-06-24 Philipp Werner , Matthias Troyer , Subir Sachdev

We study numerically the critical region and the disordered phase of the random transverse-field Ising chain. By using a mapping of Lieb, Schultz and Mattis to non-interacting fermions, we can obtain a numerically exact solution for rather…

凝聚态物理 · 物理学 2009-10-28 A. P. Young , H. Rieger
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