Tunable geometries from a sparse quantum spin network

Bentsen, Gregory; Hashizume, Tomohiro; Davis, Emily Jane; Buyskikh, Anton S.; Schleier-Smith, Monika; Daley, Andrew J.

doi:10.1117/12.2552602

Cited by 3 publications

(3 citation statements)

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“…Multimode cavities also establish connections to neural network and spin models, enabling investigations into dislocations, crystal boundaries, and phonon spectra. Initial investigations into this relationship were presented by [237,238], while extensions involving fermionic atoms [239,240] and local couplings using multimode cavity QED have been explored [35,241].…”

Section: Atoms In Optical Cavitiesmentioning

confidence: 99%

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Yago Malo,

Lepori,

Gentini

et al. 2024

Technologies

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Physics is living an era of unprecedented cross-fertilization among the different areas of science. In this perspective review, we discuss the manifold impact that state-of-the-art cold and ultracold-atomic platforms can have in fundamental and applied science through the development of platforms for quantum simulation, computation, metrology and sensing. We illustrate how the engineering of table-top experiments with atom technologies is engendering applications to understand problems in condensed matter and fundamental physics, cosmology and astrophysics, unveil foundational aspects of quantum mechanics, and advance quantum chemistry and the emerging field of quantum biology. In this journey, we take the perspective of two main approaches, i.e., creating quantum analogues and building quantum simulators, highlighting that independently of the ultimate goal of a universal quantum computer to be met, the remarkable transformative effects of these achievements remain unchanged. We wish to convey three main messages. First, this atom-based quantum technology enterprise is signing a new era in the way quantum technologies are used for fundamental science, even beyond the advancement of knowledge, which is characterised by truly cross-disciplinary research, extended interplay between theoretical and experimental thinking, and intersectoral approach. Second, quantum many-body physics is unavoidably taking center stage in frontier’s science. Third, quantum science and technology progress will have capillary impact on society, meaning this effect is not confined to isolated or highly specialized areas of knowledge, but is expected to reach and have a pervasive influence on a broad range of society aspects: while this happens, the adoption of a responsible research and innovation approach to quantum technologies is mandatory, to accompany citizens in building awareness and future scaffolding. Following on all the above reflections, this perspective review is thus aimed at scientists active or interested in interdisciplinary research, providing the reader with an overview of the current status of these wide fields of research where cold and ultracold-atomic platforms play a vital role in their description and simulation.

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Section: Atoms In Optical Cavitiesmentioning

confidence: 99%

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Yago Malo,

Lepori,

Gentini

et al. 2024

Technologies

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“…1c we obtain translational invariance in the treelike geometry, i.e. d tree (i + 1, j + 1) = d tree (i, j) [17,[48][49][50][51][52].…”

Section: Probing Emergent Geometry With Entanglement Entropymentioning

confidence: 99%

Tunable Geometries in Sparse Clifford Circuits

Hashizume,

Kuriyattil,

Daley

et al. 2022

Preprint

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“…Specifically, while both measures of distance satisfy the usual mathematical axioms required for a metric, the 2-adic measure is ultrametric, meaning that it satisfies a much stronger form of the triangle inequality |i − j| 2 ≤ max(|i − k| 2 , |j − k| 2 ) for all i, j, k. Additionally, while both geometries are translation-invariant (i, j) → (i + , j + ) mod N, the treelike geometry is also invariant under a much larger number of nested permutation symmetries which exchange the left and right halves of any subtree. In particular, by consecutively applying exchange permutations at each level of the tree in Figure 1c we obtain translational invariance in the treelike geometry, i.e., d tree (i + 1, j + 1) = d tree (i, j) [17,18,[48][49][50][51].…”

Section: Probing Emergent Geometry With Entanglement Entropymentioning

confidence: 99%

Tunable Geometries in Sparse Clifford Circuits

et al. 2022

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We investigate the emergence of different effective geometries in stochastic Clifford circuits with sparse coupling. By changing the probability distribution for choosing two-site gates as a function of distance, we generate sparse interactions that either decay or grow with distance as a function of a single tunable parameter. Tuning this parameter reveals three distinct regimes of geometry for the spreading of correlations and growth of entanglement in the system. We observe linear geometry for short-range interactions, treelike geometry on a sparse coupling graph for long-range interactions, and an intermediate fast scrambling regime at the crossover point between the linear and treelike geometries. This transition in geometry is revealed in calculations of the subsystem entanglement entropy and tripartite mutual information. We also study emergent lightcones that govern these effective geometries by teleporting a single qubit of information from an input qubit to an output qubit. These tools help to analyze distinct geometries arising in dynamics and correlation spreading in quantum many-body systems.

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Tunable geometries from a sparse quantum spin network

Cited by 3 publications

References 0 publications

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications

Tunable Geometries in Sparse Clifford Circuits

Tunable Geometries in Sparse Clifford Circuits

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