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Sympathetic cooling is the process of energy exchange between a system and a colder bath. We investigate this fundamental process in an atom-ion experiment where the system is composed of a single ion, trapped in a radio-frequency Paul…

Atomic Physics · Physics 2018-08-08 Ziv Meir , Meirav Pinkas , Tomas Sikorsky , Ruti Ben-shlomi , Nitzan Akerman , Roee Ozeri

The exact energy spectrum is developed for a two temperature kinetic Ising spin chain, and its dual reaction diffusion system with spatially alternating pair annihilation and creation rates. Symmetries of the system pseudo-Hamiltonian that…

Statistical Mechanics · Physics 2015-05-14 I. Mazilu , H. T. Williams

The low-temperature properties and crossover phenomena of $d$-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group…

Statistical Mechanics · Physics 2009-11-10 A. Caramico D'Auria , L. De Cesare , I. Rabuffo

We study the phase transition of the Ising model in networks with core-periphery structures. By Monte Carlo simulations, we show that prior to the order-disorder phase transition the system organizes into an inhomogeneous intermediate phase…

Statistical Mechanics · Physics 2018-06-12 Hanshuang Chen , Haifeng Zhang , Chuansheng Shen

We study the Ising model under a time-varying, but spatially homogeneous, Gaussian random magnetic field. In the Monte Carlo simulations, we go beyond the standard analysis of the order parameter by measuring the magnetization probability…

Statistical Mechanics · Physics 2026-03-30 Sara Oliver-Bonafoux , Raul Toral , Amitabha Chakrabarti

The thermal fluctuations that exist at very low temperature in disordered systems are often attributed to the existence of some two-level excitations. In this paper, we revisit this question via the explicit studies of the following 1D…

Disordered Systems and Neural Networks · Physics 2009-11-10 Cecile Monthus , Pierre Le Doussal

A model describing Ising spins with short range interactions moving randomly in a plane is considered. In the presence of a hard core repulsion, which prevents the Ising spins from overlapping, the model is analogous to a dynamically…

High Energy Physics - Theory · Physics 2009-10-28 Marco Vekic , Shao Liu , Herbert W. Hamber

Results are presented for the geometry of low-energy excitations in the one-dimensional Ising spin chain with power-law interactions, in which the model parameters are chosen to yield a finite spin-glass transition temperature. Both…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber , A. P. Young

The relaxation of the harmonical oscillator, being in contact with the thermostat whose excitations can be treated as bosons is studied. An exact temporary behavior of the inverse oscillator's temperature is obtained. In low interaction…

Statistical Mechanics · Physics 2007-05-23 G. G. Kozlov

Open quantum many-body systems with controllable dissipation can exhibit novel features in their dynamics and steady states. A paradigmatic example is the dissipative transverse field Ising model. It has been shown recently that the steady…

Quantum Physics · Physics 2023-12-04 Casey Haack , Naushad Ahmad Kamar , Daniel Paz , Mohammad Maghrebi , Zhexuan Gong

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…

Statistical Mechanics · Physics 2025-04-24 Varazdat Stepanyan , Andreas F. Tzortzakakis , David Petrosyan , Armen E. Allahverdyan

We theoretically study the thermal relaxation of many-body systems under the action of oscillating external fields. When the magnitude or the orientation of a field is modulated around values where the pairwise heat-exchange conductances…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Riccardo Messina , Annika Ott , Christoph Kathmann , Svend-Age Biehs , Philippe Ben-Abdallah

We study the process of relaxation back to thermal equilibrium in $(1+1)$-dimensional conformal field theory at finite temperature. When the size of the system is much larger than the inverse temperature, perturbations decay exponentially…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Ivo Sachs , Sergey N. Solodukhin

Thermodynamic perturbation theory is employed to derive analytical expressions for the equilibrium linear susceptibility and specific heat of lattices of anisotropic classical spins weakly coupled by the dipole-dipole interaction. The…

Materials Science · Physics 2009-11-07 P. E. Jönsson , J. L. Garcia-Palacios

We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic)…

Quantum Gases · Physics 2023-09-27 Oskar Grocholski , Piotr H. Chankowski

The Ising model doesn't have a strictly defined dynamics, only a spectrum. There are different ways to equip it with a time dependence e.g. the Glauber or the Kawasaki dynamics, which are both stochastic, but it means there is a master…

Statistical Mechanics · Physics 2021-09-07 Máté Tibor Veszeli , Gábor Vattay

We develop a finite temperature perturbation theory (beyond the mean field) for a Bose-condensed gas and calculate temperature-dependent damping rates and energy shifts for Bogolyubov excitations of any energy. The theory is generalized for…

Condensed Matter · Physics 2009-10-31 P. O. Fedichev , G. V. Shlyapnikov

We study analytically the Ising model coupled to random lattices in dimension three and higher. The family of random lattices we use is generated by the large N limit of a colored tensor model generalizing the two-matrix model for Ising…

High Energy Physics - Theory · Physics 2012-08-27 Valentin Bonzom , Razvan Gurau , Vincent Rivasseau

Three 2D spin models made of frustrated zig-zag chains with competing interactions which by exact summation with respect to some degrees of freedom can be replaced by an effective temperature-dependent interaction were considered. The first…

Statistical Mechanics · Physics 2024-03-28 Jozef Sznajd

A kinetic one-dimensional Ising model is coupled to two heat baths, such that spins at even (odd) lattice sites experience a temperature $T_{e}$ ($% T_{o}$). Spin flips occur with Glauber-type rates generalised to the case of two…

Statistical Mechanics · Physics 2009-11-07 F. Schmüser , B. Schmittmann