Effective spin quantum phases in systems of trapped ions

Deng, Xiaolong; Porras, Diego; Cirac, J. I.

doi:10.1103/physreva.72.063407

Cited by 193 publications

(266 citation statements)

References 30 publications

(55 reference statements)

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“…More subtly, we find that in the presence of the dipolar interactions an algebraic tail is visible in the long-distance decay of correlation functions even in the gapped phase. A similar effect has been reported previously for Ising systems with dipolar interactions [62,63], for longrange interacting p-wave superconductors with Majorana edge modes [64], and for systems with quadratic algebraically decaying interactions it can be proven that in such systems the correlation functions decay with the same exponent as the one of the interaction [65]. Here we report such an effect in an intriguing regime.…”

Section: Introductionsupporting

confidence: 62%

“…Indeed, Hastings and Koma proved this [77] for general short-range interacting spin systems. In contrast, recent theoretical studies have found that long-range interacting systems can have algebraically decaying correlation functions despite the existence of a gap [62,63,65]. In this section we explore this behavior in our model, where especially interesting features emerge.…”

Section: Role Of Dipolar Interactionsmentioning

confidence: 81%

“…We provide a simple analytic framework for understanding this behavior as well as that of other models, such as those in prior theoretical studies [62,63,65] and including dimensions d > 1. Figure 13 compares the DMRG results for S + i S − j obtained using a cutoff of the interaction range at distances of three and ten sites and keeping the full range of interactions.…”

Section: B Algebraic Tail In Spin Correlation Functionsmentioning

confidence: 99%

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Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Manmana¹,

Möller²,

Gezzi³

et al. 2017

Phys. Rev. A

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We compute physical properties across the phase diagram of the t-J ⊥ chain with long-range dipolar interactions, which describe ultracold polar molecules on optical lattices. Our results obtained by the density-matrix renormalization group indicate that superconductivity is enhanced when the Ising component J z of the spin-spin interaction and the charge component V are tuned to zero and even further by the long-range dipolar interactions. At low densities, a substantially larger spin gap is obtained. We provide evidence that long-range interactions lead to algebraically decaying correlation functions despite the presence of a gap. Although this has recently been observed in other long-range interacting spin and fermion models, the correlations in our case have the peculiar property of having a small and continuously varying exponent. We construct simple analytic models and arguments to understand the most salient features.

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Section: Introductionsupporting

confidence: 62%

Section: Role Of Dipolar Interactionsmentioning

confidence: 81%

Section: B Algebraic Tail In Spin Correlation Functionsmentioning

confidence: 99%

See 1 more Smart Citation

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Manmana¹,

Möller²,

Gezzi³

et al. 2017

Phys. Rev. A

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show abstract

“…[86,87]. While in the early theory studies [85,[88][89][90] spin interactions decaying with the third power of the distance were considered, it was experimentally demonstrated that management of phonon dispersion allows to achieve powers between 0.1 and 3 in the 2D arrays of traps [91]. Recent state of art represents the work on experimental realization of a quantum integer-spin chain with controllable interactions [92].…”

Section: Discussionmentioning

confidence: 99%

Nonlocality in many-body quantum systems detected with two-body correlators

et al. 2015

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Contemporary understanding of correlations in quantum many-body systems and in quantum phase transitions is based to a large extent on the recent intensive studies of entanglement in many-body systems. In contrast, much less is known about the role of quantum nonlocality in these systems, mostly because the available multipartite Bell inequalities involve high-order correlations among many particles, which are hard to access theoretically, and even harder experimentally. Standard, "theorist-and experimentalist-friendly" many-body observables involve correlations among only few (one, two, rarely three...) particles. Typically, there is no multipartite Bell inequality for this scenario based on such low-order correlations. Recently, however, we have succeeded in constructing multipartite Bell inequalities that involve two-and one-body correlations only, and showed how they revealed the nonlocality in many-body systems relevant for nuclear and atomic physics [Science 344, 1256[Science 344, (2014. With the present contribution we continue our work on this problem. On the one hand, we present a detailed derivation of the above Bell inequalities, pertaining to permutation symmetry among the involved parties. On the other hand, we present a couple of new results concerning such Bell inequalities. First, we characterize their tightness. We then discuss maximal quantum violations of these inequalities in the general case, and their scaling with the number of parties. Moreover, we provide new classes of two-body Bell inequalities which reveal nonlocality of the Dicke states-ground states of physically relevant and experimentally realizable Hamiltonians. Finally, we shortly discuss various scenarios for nonlocality detection in mesoscopic systems of trapped ions or atoms, and by atoms trapped in the vicinity of designed nanostructures.

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“…It would be particularly interesting to follow Refs. 69,[76][77][78][79][80][81][82] and study how all of these spin Hamiltonians and the underlying phase transitions are affected by the long-range nature of the interactions.…”

Section: Applications To Exotic Quantum Magnetismmentioning

confidence: 99%

Controllable quantum spin glasses with magnetic impurities embedded in quantum solids

et al. 2013

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Magnetic impurities embedded in inert solids can exhibit long coherence times and interact with one another via their intrinsic anisotropic dipolar interaction. We argue that, as a consequence of these properties, disordered ensembles of magnetic impurities provide an effective platform for realizing a controllable, tunable version of the dipolar quantum spin glass seen in LiHoxY1−xF4.Specifically, we propose and analyze a system composed of dysprosium atoms embedded in solid helium. We describe the phase diagram of the system and discuss the realizability and detectability of the quantum spin glass and antiglass phases.

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Effective spin quantum phases in systems of trapped ions

Cited by 193 publications

References 30 publications

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Nonlocality in many-body quantum systems detected with two-body correlators

Controllable quantum spin glasses with magnetic impurities embedded in quantum solids

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