Quench experiments on a 256-atom Rydberg array reveal three relaxation regimes in the 2D transverse-field Ising model, including a slow thermalization crossover that eludes tensor-network simulations.
Kosterlitz-Thouless transition of quantum XY model in two dimensions
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abstract
The two-dimensional $S=1/2$ XY model is investigated with an extensive quantum Monte Carlo simulation. The helicity modulus is precisely estimated through a continuous-time loop algorithm for systems up to $128 \times 128$ near and below the critical temperature. The critical temperature is estimated as $T_{\rm KT} = 0.3427(2)J$. The obtained estimates for the helicity modulus are well fitted by a scaling form derived from the Kosterlitz renormalization group equation. The validity of the Kosterlitz-Thouless theory for this model is confirmed.
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Exploring the Relaxation Landscape of a 2D Quantum Magnet on a 256-Qubit Processor
Quench experiments on a 256-atom Rydberg array reveal three relaxation regimes in the 2D transverse-field Ising model, including a slow thermalization crossover that eludes tensor-network simulations.