Dr. Natalia Chepiga: Publications

Excitations and dynamical structure factor of J1−J2 spin- 32 and spin- 52 Heisenberg spin chains

Physical Review B American Physical Society (APS) 112:10 (2025) 104401

Authors:

Aman Sharma, Mithilesh Nayak, Natalia Chepiga, Frédéric Mila

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Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy

Physical Review B American Physical Society (APS) 111:22 (2025) L220412

Authors:

Niels T Pronk, Bowy M La Rivière, Natalia Chepiga

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Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms

Physical Review Research American Physical Society (APS) 7:1 (2025) 013215

Authors:

Jose Soto-Garcia, Natalia Chepiga

Abstract:

Experiments on chains of Rydberg atoms appear as a playground to study quantum phase transitions in 1D. As a natural extension, we report a quantitative ground-state phase diagram of Rydberg atoms arranged in a two-leg ladder interacting via van der Waals potential. We address this problem numerically, using the density matrix renormalization group algorithm. Our results suggest that, quite remarkably, Zk crystalline phases, with the exception of the checkerboard phase, appear in pairs characterized by the same pattern of occupied rungs but distinguishable by a spontaneously broken Z̃2 symmetry between the two legs of the ladder. Within each pair, the two phases are separated by a continuous transition in the Ising universality class, which eventually fuses with the Zk transition, whose nature depends on k. According to our results, the transition into the Z2⊗Z̃2 phase changes its nature multiple times, including an Ashkin-Teller transition that is surprisingly stable over an extended interval, followed by the Z4-chiral transition, and finally in a two step-process mediated melting via the floating phase. The transition into the Z3 phase with resonant states on the rungs belongs to the three-state Potts universality class at the commensurate point, to the Z3-chiral Huse-Fisher universality class away from it, and eventually it is through an intermediate floating phase. The Ising transition between Z3 and Z3⊗Z̃2 phases, entering the floating phase, opens the possibility to realize lattice supersymmetry in Rydberg quantum simulators.

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$\mathbb{Z}_4$ transitions in quantum loop models on a zig-zag ladder

SciPost Physics Stichting SciPost 17:5 (2024) 144

Authors:

Bowy La Riviere, Natalia Chepiga

Abstract:

We study the nature of quantum phase transitions out of

\mathbb{Z}_4

ℤ 4 ordered phases in quantum loop models on a zig-zag ladder. We report very rich critical behavior that includes a pair of Ising transitions, a multi-critical Ashkin-Teller point and a remarkably extended interval of a chiral transition. Although plaquette states turn out to be essential to realize chiral transitions, we demonstrate that critical regimes can be manipulated by deforming the model as to increase the presence of leg-dimerized states. This can be done to the point where the chiral transition turns into first order, we argue that this is associated with the emergence of a critical end point.

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Probing universal critical scaling with scan density matrix renormalization group

Physical Review B American Physical Society (APS) 110:14 (2024) 144401

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Dr. Natalia Chepiga

Research theme

Sub department

Excitations and dynamical structure factor of J1−J2 spin- 32 and spin- 52 Heisenberg spin chains

Authors:

Deconfined quantum criticality in a frustrated Haldane chain with single-ion anisotropy

Authors:

Numerical investigation of quantum phases and phase transitions in a two-leg ladder of Rydberg atoms

Authors:

Abstract:

$\mathbb{Z}_4$ transitions in quantum loop models on a zig-zag ladder

Authors:

Abstract:

Probing universal critical scaling with scan density matrix renormalization group

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