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We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

We study the finite temperature crossovers in the vicinity of a zero temperature quantum phase transition. The universal crossover functions are observables of a continuum quantum field theory. Particular attention is focussed on the high…

Condensed Matter · Physics 2008-02-03 Subir Sachdev

Motivated by experiments on chains of superconducting qubits, we consider the dynamics of a classical Klein-Gordon chain coupled to coherent driving and subject to dissipation solely at its boundaries. As the strength of the boundary…

Statistical Mechanics · Physics 2023-03-20 Abhinav Prem , Vir B. Bulchandani , S. L. Sondhi

We study nonlinear response in quantum spin systems {near infinite-randomness critical points}. Nonlinear dynamical probes, such as two-dimensional (2D) coherent spectroscopy, can diagnose the nearly localized character of excitations in…

Disordered Systems and Neural Networks · Physics 2020-12-17 S. A. Parameswaran , Sarang Gopalakrishnan

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

Statistical Mechanics · Physics 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

The dissipative dynamics of a quantum bistable system coupled to a Ohmic heat bath is investigated beyond the spin-boson approximation. Within the path-integral approach to quantum dissipation, we propose an approximation scheme which…

Statistical Mechanics · Physics 2017-09-19 Luca Magazzù , Davide Valenti , Bernardo Spagnolo , Milena Grifoni

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

Statistical Mechanics · Physics 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

The ground state energy and entropy of the dilute mean field Ising model is computed exactly by a single order parameter. An analogous exact solution is obtained in presence of a magnetic field with random locations. Results allow for a…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maurizio Serva

Experiments and computer simulation studies have revealed existence of rich dynamics in the orientational relaxation of molecules in confined systems such as water in reverse micelles, cyclodextrin cavities and nano-tubes. Here we introduce…

Statistical Mechanics · Physics 2015-05-18 Rajib Biswas , Biman Bagchi

Ising's solution of a classical spin model famously demonstrated the absence of a positive-temperature phase transition in one-dimensional equilibrium systems with short-range interactions. No-go arguments established that the energy cost…

Statistical Mechanics · Physics 2020-03-24 Petro Sarkanych , Yurij Holovatch , Ralph Kenna

We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance $r$ as $1/r^\alpha$ in $D=2$ and $3$ spatial dimensions. In stark contrast to the Ising model, we find a broad parameter regime…

Quantum Physics · Physics 2020-12-30 Michael A. Perlin , Chunlei Qu , Ana Maria Rey

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…

Statistical Mechanics · Physics 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges exhibiting directed percolation-like parity conserving(PC) phase transition on…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

It is shown that intrinsically anisotropic non-equilibrium systems relaxing by a dynamic process exhibit universal critical behavior during their evolution toward non-equilibrium stationary states. An anisotropic scaling anzats for the…

Statistical Mechanics · Physics 2009-11-07 Ezequiel V. Albano , Gustavo Saracco

We present a comprehensive analysis of critical behavior in the driven-dissipative Bose condensation transition in three spatial dimensions. Starting point is a microscopic description of the system in terms of a many-body quantum master…

Quantum Gases · Physics 2014-05-09 L. M. Sieberer , S. D. Huber , E. Altman , S. Diehl

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

High Energy Physics - Theory · Physics 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

Motivated in part by quantum criticality in dissipative Kondo systems, we revisit the finite-size scaling of a classical Ising chain with 1/r^{2-epsilon} interactions. For 1/2<epsilon<1, the scaling of the dynamical spin susceptibility is…

Strongly Correlated Electrons · Physics 2009-04-24 Stefan Kirchner , Qimiao Si , Kevin Ingersent

The critical behavior at the special surface transition and crossover bevavior from special to ordinary surface transition in semi-infinite n-component anisotropic cubic models are investigated by applying the field theoretic approach…

Statistical Mechanics · Physics 2007-05-23 Z. Usatenko

Several recent experiments in atomic, molecular and optical systems motivated a huge interest in the study of quantum long-range %spin systems. Our goal in this paper is to present a general description of their critical behavior and…

Quantum Gases · Physics 2017-09-27 Nicolo Defenu , Andrea Trombettoni , Stefano Ruffo