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We present a solvable one-dimensional spin-1/2 model on the diamond chain featuring three-spin interactions, which displays both, mobile excitations driving a second-order phase transition between an ordered and a $\mathbb{Z}_2$-symmetry…

Strongly Correlated Electrons · Physics 2026-04-15 M. Bayer , M. Vieweg , K. P. Schmidt

We study the zero temperature coarsening dynamics in an Ising chain in presence of a dynamically induced field that favors locally the `-' phase compared to the `+' phase. At late times, while the `+' domains still coarsen as $t^{1/2}$, the…

Statistical Mechanics · Physics 2016-08-31 Satya N. Majumdar , David S. Dean , Peter Grassberger

We carry out simulated annealing and employ a generalized Kibble-Zurek scaling hypothesis to study the 2D Ising spin glass with normal-distributed couplings. The system has an equilibrium glass transition at temperature $T=0$. From a…

Statistical Mechanics · Physics 2017-11-08 Na Xu , Kai-Hsin Wu , Shanon J. Rubin , Ying-Jer Kao , Anders W. Sandvik

We study the dynamics caused by transport of transverse magnetization in one dimensional transverse Ising chain at zero temperature. We observe that a class of initial states having product structure in fermionic momentum-space and…

Statistical Mechanics · Physics 2017-11-03 Sirshendu Bhattacharyya , Subinay Dasgupta

We study the coarsening model (zero-temperature Ising Glauber dynamics) on $\mathbb{Z}^d$ (for $d \geq 2$) with an asymmetric tie-breaking rule. This is a Markov process on the state space $\{-1,+1\}^{\mathbb{Z}^d}$ of "spin configurations"…

Probability · Mathematics 2018-08-01 Michael Damron , Leonid Petrov , David Sivakoff

We report a thermally activated metastability in a GaAs double quantum dot exhibiting real-time charge switching in diamond shaped regions of the charge stability diagram. Accidental charge traps and sensor back action are excluded as the…

Mesoscale and Nanoscale Physics · Physics 2015-09-08 D. E. F. Biesinger , C. P. Scheller , B. Braunecker , J. Zimmerman , A. C. Gossard , D. M. Zumbühl

We investigate the statistical mechanics of the periodic one-dimensional Ising chain when the number of positive spins is constrained to be either an even or an odd number. We calculate the partition function using a generalization of the…

Statistical Mechanics · Physics 2015-03-11 Michael T. Gastner

Non-equilibrium physics is a particularly fascinating field of current research. Generically, driven systems are gradually heated up so that quantum effects die out. In contrast, we show that a driven central spin model including controlled…

Quantum Physics · Physics 2020-03-18 Goetz S. Uhrig

We study a quasi-two-dimensional electrostatic drift kinetic system as a model for near-marginal ion temperature gradient (ITG) driven turbulence. A proof is given of the nonlinear stability of this system under conditions of linear…

Plasma Physics · Physics 2015-04-16 G. G. Plunk

We study the dynamics of isolated interacting spin chains that are periodically driven by sudden quenches. Using full exact diagonalization of finite chains, we show that these systems exhibit three distinct regimes. For short driving…

Statistical Mechanics · Physics 2018-05-15 Luca D'Alessio , Marcos Rigol

The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagnetic chains whose low-energy effective field theory is…

Statistical Mechanics · Physics 2019-11-06 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

The Kondo effect in a one-dimensional spin-1/2 XXZ model in the gapless XY regime (-1<Delta<=1) is studied both analytically and numerically. In our model an impurity spin (S=1/2) is coupled to a single spin in the XXZ spin chain.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Furusaki , T. Hikihara

We consider 3D active plane rotators, where the interaction between the spins is of XY-type and where each spin is driven to rotate. For the clock-model, when the spins take N\gg1 possible values, we conjecture that there are two…

Mathematical Physics · Physics 2015-05-28 Christian Maes , Senya Shlosman

Exactly solvable models provide an opportunity to study different aspects of reduced quantum dynamics in detail. We consider the reduced dynamics of a single spin in finite XX and XY spin 1/2 chains. First we introduce a general expression…

Quantum Physics · Physics 2015-03-17 Oleg Lychkovskiy

We solve the dynamics of an ensemble of interacting rotors coupled to two leads at different chemical potential letting a current flow through the system and driving it out of equilibrium. We show that at low temperature the coarsening…

Disordered Systems and Neural Networks · Physics 2015-03-17 Camille Aron , Giulio Biroli , Leticia F. Cugliandolo

We study gapless quantum spin chains with spin 1/2 and 1: the Fredkin and Motzkin models. Their entangled groundstates are known exactly but not their excitation spectra. We first express the groundstates in the continuum which allows for…

Strongly Correlated Electrons · Physics 2017-10-25 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

We study the dynamics of the East model, comprising a chain of uncoupled spins in a downward-pointing field. Glassy effects arise at low temperatures $T$ from the kinetic constraint that spins can only flip if their left neighbour is up. We…

Statistical Mechanics · Physics 2007-05-23 P. Sollich , M. R. Evans

Quenched disorder affects how non-equilibrium systems respond to driving. In the context of artificial spin ice, an athermal system comprised of geometrically frustrated classical Ising spins with a two-fold degenerate ground state, we give…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Zoe Budrikis , J. P. Morgan , J. Akerman , A. Stein , Paolo Politi , S. Langridge , C. H. Marrows , R. L. Stamps

We present a numerical study of the diffusion of energy at high temperature in strongly disordered chains of interacting classical spins evolving deterministically. We find that quenched randomness strongly suppresses transport, with the…

Strongly Correlated Electrons · Physics 2013-05-29 Vadim Oganesyan , Arijeet Pal , David A. Huse

We consider a chain of trapped ions to interact with each other via long-range interactions. This system can be used to simulate the long-range Ising model. We study the dynamics of quantum coherence of a single spin in the chain, where the…

Quantum Physics · Physics 2015-11-25 H. T. Ng , Jing-Ning Zhang