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We study the nature of quantum phase transitions out of $\mathbb{Z}_4$ 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…

Strongly Correlated Electrons · Physics 2024-11-27 Bowy M. La Rivière , Natalia Chepiga

Recent experiments with ultracold Rydberg-excited atoms have shown that long-range interactions can give rise to spatially ordered structures. Observation of crystalline phases in a system with Rydberg atoms loaded into an optical lattice…

Quantum Gases · Physics 2019-07-03 Jaromir Panas , Mathieu Barbier , Andreas Geißler , Walter Hofstetter

The quantum dimer and loop models attract great attentions, partially because the fundamental importance in the phases and phase transitions emerging in these prototypical constrained systems, and partially due to their intimate relevance…

Strongly Correlated Electrons · Physics 2023-05-31 Xiaoxue Ran , Zheng Yan , Yan-Cheng Wang , Junchen Rong , Yang Qi , Zi Yang Meng

We investigate the zero-temperature phase diagram of a one-dimensional constrained quantum spin chain realized in coherently driven Rydberg-atom arrays with competing local Rabi driving and dipole-dipole exchange interactions. Projecting…

Strongly Correlated Electrons · Physics 2026-05-27 Yuan Jiang , Wen-Long You , Liangsheng Li , Maoxin Liu

We propose to apply stimulated adiabatic passage to transfer atoms from their ground state into Rydberg excited states. Atoms a few micrometers apart experience a dipole-dipole interaction among Rydberg states that is strong enough to shift…

Quantum Physics · Physics 2009-11-13 Ditte Moller , Lars Bojer Madsen , Klaus Molmer

We theoretically investigate the dynamical phase diagram of a one-dimensional chain of laser-excited two-species Rydberg atoms. The existence of a variety of unique dynamical phases in the experimentally-achievable parameter region is…

Atomic Physics · Physics 2016-01-20 Jing Qian , Lu Zhang , Jingjing Zhai , Weiping Zhang

We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with…

We study a two-dimensional lattice gas of atoms that are photo-excited to high-lying Rydberg states in which they interact via the van-der-Waals interaction. We explore the regime of dominant nearest neighbor interaction where this system…

Atomic Physics · Physics 2015-05-27 S. Ji , C. Ates , I. Lesanovsky

We consider a one-dimensional commensurate Peierls insulator in the presence of spin-dependent sign-alternating potentials. In a continuum description, the latter supply the fermions with spin-dependent "relativistic" masses…

Strongly Correlated Electrons · Physics 2019-01-23 G. A. Japaridze , A. A. Nersesyan

The resonant dipole-dipole interaction between highly excited Rydberg levels dominates the interaction of neutral atoms at short distances scaling as $1/r^3$. Here we take advantage of the combined effects of strong dipole-dipole…

Quantum Physics · Physics 2020-12-30 Xiao-Qiang Shao

Divalent atoms provide excellent means for advancing control in Rydberg atom-based quantum simulation and computing, due to the second optically active valence electron available. Particularly promising in this context are circular Rydberg…

Quantum information processing with neutral atoms relies on Rydberg excitation for entanglement generation. While the use of heavy divalent or open-shell elements, such as strontium or ytterbium, has benefits due to their optically active…

Synthetic dimension platforms offer unique pathways for engineering quantum matter. We compute the phase diagram of a many-body system of ultracold atoms (or polar molecules) with a set of Rydberg states (or rotational states) as a…

The dipole blockade between Rydberg atoms has been proposed as a basic tool in quantum information processing with neutral atoms. Here we demonstrate experimentally the Rydberg blockade of two individual atoms separated by 4 $\mu$m.…

Quantum Physics · Physics 2010-06-09 A. Gaëtan , Y. Miroshnychenko , T. Wilk , A. Chotia , M. Viteau , D. Comparat , P. Pillet , A. Browaeys , P. Grangier

Quantum phase transitions in Rydberg atom arrays present significant opportunities for studying many-body physics, yet distinguishing between different ordered phases without explicit order parameters remains challenging. We present a…

Quantum Physics · Physics 2025-10-28 Hemish Ahuja , Samradh Bhardwaj , Kirti Dhir , Roman Bagdasarian , Ziwoong Jang

We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and $S_3$, time-reversal, and parity symmetries. We find a rich phase diagram including gapped phases with order-disorder coexistence, integrable…

Statistical Mechanics · Physics 2020-12-16 Edward O'Brien , Paul Fendley

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. In this letter, we employ large-scale density…

Strongly Correlated Electrons · Physics 2023-12-27 Sheng Yang , Zhiming Pan , Da-Chuan Lu , Xue-Jia Yu

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization group calculations reveal the presence of a wide variety of…

Quantum Gases · Physics 2021-01-20 Rhine Samajdar , Wen Wei Ho , Hannes Pichler , Mikhail D. Lukin , Subir Sachdev

The experimental realization of the quantum Kibble-Zurek mechanism in arrays of trapped Rydberg atoms has brought the problem of commensurate-incommensurate transition back into the focus of active research. Relying on equilibrium…

Strongly Correlated Electrons · Physics 2024-10-04 Jose Soto Garcia , Natalia Chepiga

We investigate an ensemble of atoms which can be excited into a Rydberg state. Using a disordered quantum Ising model, we perform a numerical simulation of the experimental procedure and calculate the probability distribution function…

Quantum Gases · Physics 2012-10-08 David Breyel , Thomas L. Schmidt , Andreas Komnik