Finite-temperature critical behavior of long-range quantum Ising models
Eduardo Gonzalez Lazo, Markus Heyl, Marcello Dalmonte, Adriano Angelone
SciPost Phys. 11, 076 (2021) · published 13 October 2021
- doi: 10.21468/SciPostPhys.11.4.076
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Abstract
We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments. Using large-scale path integral Monte Carlo simulations, we investigate both the ground-state and the nonzero-temperature regimes. We identify the phase boundary of the ferromagnetic phase and obtain accurate estimates for the ferromagnetic-paramagnetic transition temperatures. We further determine the critical exponents of the respective transitions. Our results are in agreement with existing predictions for interaction exponents $\alpha > 1$ up to small deviations in some critical exponents. We also address the elusive regime $\alpha < 1$, where we find that the universality class of both the ground-state and nonzero-temperature transition is consistent with the mean-field limit at $\alpha = 0$. Our work not only contributes to the understanding of the equilibrium properties of long-range interacting quantum Ising models, but can also be important for addressing fundamental dynamical aspects, such as issues concerning the open question of thermalization in such models.
Cited by 15
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Eduardo Gonzalez Lazo,
- 3 Markus Heyl,
- 1 2 Marcello Dalmonte,
- 1 2 4 Adriano Angelone
- 1 Centro Internazionale di Fisica Teorica Abdus Salam / Abdus Salam International Centre for Theoretical Physics [ICTP]
- 2 Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies [SISSA]
- 3 Max-Planck-Institut für Physik komplexer Systeme / Max Planck Institute for the Physics of Complex Systems
- 4 Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie [LPTMC]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- European Research Council [ERC]
- Horizon 2020 (through Organization: European Commission [EC])