Classical-quantum crossover in the critical behavior of the transverse field S-K spin glass model

Abstract

We study the critical behavior of Sherrington-Kirkpatrick model in transverse field (at finite temperature) using Monte Carlo simulation and exact diagonalization (at zero temperature). We determine the phase diagram of the model by estimating the Binder cumulant. We also determine the correlation length exponent from the collapse of the scaled data. Our numerical studies here indicate that critical Binder cumulant (indicating the universality class of the transition behavior) and the correlation length exponent cross over from their `classical' to `quantum' values at a finite temperature (unlike the cases of pure systems where such crossovers occur at zero temperature). We propose a qualitative argument supporting such an observation, employing a simple tunneling picture.

5 pages, 5 figures

References in corpus (4)

• Quantum versus Classical Annealing of Ising Spin Glasses
• Collective excitations and marginal stability of quantum Ising spin glasses
• Quantum fluctuations in the transverse Ising spin glass model: A field theory of random quantum spin systems
• Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field

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• On the Question of Ergodicity in Quantum Spin Glass Phase and its role in Quantum Annealing
• Improving the performance of quantum approximate optimization for preparing non-trivial quantum states without translational symmetry
• Equilibrium dynamics of infinite-range quantum spin glasses in a field
• Exact Solution for the Transverse Field Sherrington-Kirkpatrick Spin Glass Model with Continuous-Time Quantum Monte Carlo Method
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• Effects of low-lying excitations on ground-state energy and energy gap of Sherrington-Kirkpatrick model in transverse field
• Zero-temperature Monte Carlo simulations of two-dimensional quantum spin glasses guided by neural network states
• Spin-glass quantum phase transition in amorphous arrays of Rydberg atoms