Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms

Scholl, Pascal; Schuler, Michael; Williams, H. J.; Eberharter, Alexander A.; Barredo, Daniel; Schymik, Kai-Niklas; Lienhard, Vincent; Henry, Louis-Paul; Lang, Thomas C.; Lahaye, Thierry; Läuchli, Andreas M.; Browaeys, Antoine

doi:10.1038/s41586-021-03585-1

Cited by 522 publications

(291 citation statements)

References 55 publications

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“…For delocalized wave functions, S q = L ln 2; oppositely, localized wave functions are characterized by a system size independent value of S q , whereas for the multifractal wave functions S q = D q L where D q < ln 2 is a q-dependent multifractal dimension. Before discussing the relevance of participation entropies for the physics we are interested in, it is worth noting that those may be of experimental relevance since the stochastic sampling of wave functions has become available in atomic as well as in solid state platforms [141][142][143][144][145][146][147][148].…”

Section: Multifractality In the Steady State Regimementioning

confidence: 99%

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Sierant

Chiriacò

Surace

et al. 2022

Quantum

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Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions, arising from the competition between unitary evolution and measurements. Dissipative phase transitions in steady states of time-independent Liouvillians and measurement induced phase transitions at the level of quantum trajectories are two primary examples of such transitions. Investigating a many-body spin system subject to periodic resetting measurements, we argue that many-body dissipative Floquet dynamics provides a natural framework to analyze both types of transitions. We show that a dissipative phase transition between a ferromagnetic ordered phase and a paramagnetic disordered phase emerges for long-range systems as a function of measurement probabilities. A measurement induced transition of the entanglement entropy between volume law scaling and sub-volume law scaling is also present, and is distinct from the ordering transition. The two phases correspond to an error-correcting and a quantum-Zeno regimes, respectively. The ferromagnetic phase is lost for short range interactions, while the volume law phase of the entanglement is enhanced. An analysis of multifractal properties of wave function in Hilbert space provides a common perspective on both types of transitions in the system. Our findings are immediately relevant to trapped ion experiments, for which we detail a blueprint proposal based on currently available platforms.

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Section: Multifractality In the Steady State Regimementioning

confidence: 99%

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Sierant

Chiriacò

Surace

et al. 2022

Quantum

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“…Recent experiments in such long-range interacting models have mostly centered on the investigation of inherent dynamical phenomena, such as many-body localization [7], discrete time crystals [8,9], prethermalization [10], Kibble-Zurek mechanism [11,12], or dynamical quantum phase transitions [13,14]. Despite of recent progress [15,16] one key question has, however, remained open: especially in the limit of small interaction exponents, it is not known whether these long-range systems follow the fundamental principle of thermalization as expected for generic short-range models.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature critical behavior of long-range quantum Ising models

et al. 2021

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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 \alphaα, 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<1α>1 up to small deviations in some critical exponents. We also address the elusive regime \alpha < 1α<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 = 0α=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.

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“…Over the past few years, tweezer atom arrays have emerged as a very versatile platform for quantum science, with applications ranging from quantum simulation of many-body systems [2] to quantum metrology [3,4] and quantum computing [5,6]. Large arrays with up to approximately 200 atoms are now used for quantum simulation of spin systems [7,8]. They are assembled atom by atom, using moving optical tweezers, from an initially disordered configuration.…”

Section: Introductionmentioning

confidence: 99%

Single Atoms with 6000-Second Trapping Lifetimes in Optical-Tweezer Arrays at Cryogenic Temperatures

et al. 2021

Self Cite

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We report on the trapping of single Rb atoms in tunable arrays of optical tweezers in a cryogenic environment at approximately 4 K. We describe the design and construction of the experimental apparatus, based on a custom-made UHV-compatible closed-cycle cryostat with optical access. We demonstrate the trapping of single atoms in cryogenic arrays of optical tweezers, with lifetimes up to 6000 s, despite the fact that the vacuum system has not been baked out. These results open the way to large arrays of single atoms with extended coherence, for applications in large-scale quantum simulation of many-body systems and, more generally, in quantum science and technology.

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Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms

Cited by 522 publications

References 55 publications

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains

Finite-temperature critical behavior of long-range quantum Ising models

Single Atoms with 6000-Second Trapping Lifetimes in Optical-Tweezer Arrays at Cryogenic Temperatures

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