Identifying the Huse-Fisher universality class of the three-state chiral Potts model

Nyckees, Samuel; Colbois, Jeanne; Mila, Frédéric

doi:10.1016/j.nuclphysb.2021.115365

Cited by 11 publications

(4 citation statements)

References 58 publications

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“…The only difference it that the chiral transition of our model is more extended below the lobe than for the blockade model. Note that, more generally, our results agree with those obtained on classical 2D and quantum 1D versions of the period-3 case 9,14,23,29-36 , for which the existence of a transition line in the chiral universality class is supported both by experiments 6,7 and by recent numerical work 25,27,28,37,38 .…”

supporting

confidence: 90%

“…It is fixed to z = 1 at the conformal points P and AT, but an accurate estimate of its value away from this point is still beyond state-of-the-art simulations. What one can get quite accurately however is the exponent ν, and the fact that its value is consistent with that of β along the chiral transition is an indication that cross-over effects are negligible for the model of Rydberg chains, contrary to the classical 2D chiral Potts model, where crossover effects lead to an overestimate of ν and a violation of the ν = β criterion close to the Potts point 38 .…”

mentioning

confidence: 93%

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Conformal and chiral phase transitions in Rydberg chains

Maceira¹,

Chepiga²,

Mila³

2022

Preprint

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Using density matrix renormalization group simulations on open chains, we map out the wavevector in the incommensurate disordered phase of a realistic model of Rydberg chains with 1/r 6 interactions, and we locate and characterize the points along the commensurate lines where the transition out of the period 3 and 4 phases is conformal. We confirm that it is 3-state Potts for the period-3 phase, and we show that it is Ashkin-Teller with ν 0.80 for the period-4 phase. We further show that close to these points the transition is still continuous, but with a completely different scaling of the wave-vector, in agreement with a chiral transition. Finally, we propose to use the conformal points as benchmarks for Kibble-Zurek experiments, defining a roadmap towards a conclusive identification of the chiral universality class.

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supporting

confidence: 90%

mentioning

confidence: 93%

Conformal and chiral phase transitions in Rydberg chains

Maceira¹,

Chepiga²,

Mila³

2022

Preprint

Self Cite

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“…It is worth noting that the precise Potts point can be located numerically with high precision by following the commensurate line q = 2π/3 in the disordered phase until the period-3 ordered phase is reached. More details can be found in references [42][43][44][45] for more details. Furthermore, we also examined the effect of the interaction cutoff adopted in our simulation on this R b = 2.3 case.…”

Section: Non-conformal Critical Point: Chiral Universility Classmentioning

confidence: 99%

“…, sparking interest in the C-IC transition first proposed in the context of adsorbed monolayers in 1980s and 1990s [38][39][40][41]. The C-IC transition with p ≥ 5 emerges through an intermediate gapless floating phase (Luttinger liquid) with a central charge c = 1, characterized by incommensurate correlations and wave vector q [42][43][44][45][46]. On the one hand, disorderto-floating transitions belong to the Kosterlitz-Thouless (KT) universality class with exponentially diverged correlation lengths.…”

Section: Introductionmentioning

confidence: 99%

Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain

Yu¹,

Yang²,

Xu³

et al. 2022

Preprint

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In recent years, programmable Rydberg atom arrays have been widely used to simulate new quantum phases and phase transitions, generating great interest among theorists and experimentalists. Based on the large-scale density matrix renormalization group method, the ground-state phase diagram of one-dimensional Rydberg chains is investigated with fidelity susceptibility as an efficient diagnostic method. We find that the competition between Rydberg blockade and external detuning produces unconventional phases and phase transitions. As the Rydberg blockade radius increases, the phase transition between disordered and period-3 density-wave ordered phases changes from the standard three-state Potts to the unconventional chiral universality class. As the radius increases further, a very narrow intermediate floating phase begins to appear. This result provides a concise physical picture to illustrate the numerical results. Compared with previous studies, this work provides more evidence for non-conformal quantum phase transitions in programmable quantum simulators from the perspective of quantum information, showing that fidelity susceptibility can be used to study commensurate-incommensurate phase transitions.

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Dynamical phase transition and scaling in the chiral clock Potts chain

2023

Phys. Rev. A

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Identifying the Huse-Fisher universality class of the three-state chiral Potts model

Cited by 11 publications

References 58 publications

Conformal and chiral phase transitions in Rydberg chains

Conformal and chiral phase transitions in Rydberg chains

Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain

Dynamical phase transition and scaling in the chiral clock Potts chain

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