Programmable quantum simulations of spin systems with trapped ions

Monroe, Christopher; Campbell, W. C.; Duan, Liwei; Gong, Zhe-Xuan; Gorshkov, Alexey V.; Hess, Paul; Islam, Rajibul; Kim, K.; Linke, Norbert; Pagano, Guido; Richerme, Philip; Senko, Crystal; Yao, Norman Y.

doi:10.1103/revmodphys.93.025001

Cited by 528 publications

(363 citation statements)

References 376 publications

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“…Systems featuring long-range interactions are central in condensed matter and statistical physics, due to both their widespread presence in nature and the wide range of characteristic physical phenomena they display, the latter often being at odds with well-known predictions and results concerning short-range models (see, e.g, [1] for a review). Within the last decade, the interest in quantum long-range interacting models has further surged due to the progress in manipulating and controlling these systems at an unprecedented level [2][3][4][5][6]. Specifically, these experimental platforms naturally realize long-range quantum Ising or Heisenberg models, with the possibility to engineer many-body interaction potentials decaying proportionally to d −α as a function of distance d, ranging from van-der-Waals-like (α = 6) and dipolar interactions (α = 3) in the context of Rydberg atoms [3,6], to Coulomb (α = 1) and infinite-range (α = 0) potentials for trapped ions [2,5].…”

Section: Introductionmentioning

confidence: 99%

“…Within the last decade, the interest in quantum long-range interacting models has further surged due to the progress in manipulating and controlling these systems at an unprecedented level [2][3][4][5][6]. Specifically, these experimental platforms naturally realize long-range quantum Ising or Heisenberg models, with the possibility to engineer many-body interaction potentials decaying proportionally to d −α as a function of distance d, ranging from van-der-Waals-like (α = 6) and dipolar interactions (α = 3) in the context of Rydberg atoms [3,6], to Coulomb (α = 1) and infinite-range (α = 0) potentials for trapped ions [2,5].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

et al. 2021

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“…Trapped atomic ions combine the benefits of long storage time and excellent isolation from the environment, providing an attractive physical system for numerous applications in quantum technology [1,2]. Among the singly charged ions most commonly investigated, 171 Yb + has found applications in tests of fundamental physics [3,4], frequency metrology [5,6], and quantum information processing (QIP) [7][8][9][10]. All of these applications rely on a deep understanding of atomic structure theory, which is guided by and refined through precision measurements [11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Precision characterization of the D5/22 state and the quadratic Zeeman coefficient in Yb+17

et al. 2021

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We report measurements of the branching fraction, hyperfine constant, and second-order Zeeman coefficient of the D 5/2 level in 171 Yb + with up to a two-orders-of-magnitude reduction in uncertainty compared to previously reported values. We estimate the electric quadrupole reduced matrix element of the S 1/2 ↔ D 5/2 transition to be 12.5(4) ea 2 0 . Furthermore, we determine the transition frequency of the F 7/2 ↔ 1 D[3/2] 3/2 at 760 nm with a ∼25-fold improvement in uncertainty. These measurements provide benchmarks for quantum-many-body atomic-physics calculations and provide valuable data for efforts to improve quantum information processors based on 171 Yb + .

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“…Electron correlation is central to the electronic structures and properties of matter, and enhancing our understanding of strongly correlated electronic materials is a prominent theme of scientific grand challenges. The lanthanides (Ln) have proven to be fertile ground in this arena, 1 with Ln atomic ions, molecules, and materials finding applications in the areas of quantum simulators 2 and single molecule magnets, 3 the latter of which is associated with potential application in spintronics materials. 4 The Ln 4f n series is characterized by elements having similar chemical properties, for as the atomic number increases, the occupancy of the contracted and nuclear-shielding 4f n subshell increases.…”

Section: Introductionmentioning

confidence: 99%

Photoelectron Spectra of Gd2O2− and Non-Monotonic Photon-Energy Dependent Variations in Populations of Close-Lying Neutral States

Mason¹,

Harb²,

Taka³

et al. 2020

Preprint

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Photoelectron spectra of Gd2O2− obtained with photon energies from 2.033 eV to 3.495 eV exhibit numerous close-lying neutral states with photon-energy-dependent relative intensities. Transitions to states falling within the electron binding energy window of 0.9 and 1.6 eV are attributed to one- or two-electron transitions to the ground and low-lying excited neutral states. An additional, manifold of electronic states observed in the 2.1 to 2.8 eV window cannot be assigned to any simple one-electron transitions. Because of the relatively simple electronic structure from the half-filled 4f7 subshell occupancy in Gd2O2–, the numerous transitions observed in the spectra are fairly well-resolved, allowing a detailed view of the changes in relative intensities of individual transitions with photon energy. With supporting calculations on the numerous close-lying electronic states, we suggest a description of strong photoelectron-valence electron interactions that result in the photon-energy dependent shake-up transitions and switching between ferro- and antiferromagnetic coupling.

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Programmable quantum simulations of spin systems with trapped ions

Cited by 528 publications

References 376 publications

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

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

Precision characterization of the D5/22 state and the quadratic Zeeman coefficient in Yb+17

Photoelectron Spectra of Gd2O2− and Non-Monotonic Photon-Energy Dependent Variations in Populations of Close-Lying Neutral States

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