Cold Matter Assembled Atom-by-Atom

Endres, Manuel; Bernien, Hannes; Keesling, Alexander; Levine, Harry; Anschuetz, Eric R.; Krajenbrink, Alexandre; Senko, Crystal; Vuletić, Vladan; Greiner, Markus; Lukin, Mikhail D.

doi:10.48550/arxiv.1607.03044

Cited by 7 publications

(12 citation statements)

References 28 publications

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“…Experimental realization-Both the ESPT and FSPT Hamiltonians can be implemented in a chain of Rydbergdressed alkali-metal atoms [43,44,46,49,50] trapped in a 1D optical lattice or tweezer array [83,84] (Fig. 1).…”

Section: Espt (mentioning

confidence: 99%

Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems

et al. 2017

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We propose and analyze two distinct routes toward realizing interacting symmetry-protected topological (SPT) phases via periodic driving. First, we demonstrate that a driven transversefield Ising model can be used to engineer complex interactions which enable the emulation of an equilibrium SPT phase. This phase remains stable only within a parametric time scale controlled by the driving frequency, beyond which its topological features break down. To overcome this issue, we consider an alternate route based upon realizing an intrinsically Floquet SPT phase that does not have any equilibrium analog. In both cases, we show that disorder, leading to many-body localization, prevents runaway heating and enables the observation of coherent quantum dynamics at high energy densities. Furthermore, we clarify the distinction between the equilibrium and Floquet SPT phases by identifying a unique micromotion-based entanglement spectrum signature of the latter. Finally, we propose a unifying implementation in a one-dimensional chain of Rydbergdressed atoms and show that protected edge modes are observable on realistic experimental time scales.The discovery of topological insulators-materials which are insulating in their interior but can conduct on their surface-has led to a multitude of advances at the interface of condensed matter physics and materials engineering [1][2][3][4][5]. At their core, such insulators are characterized by the existence of nontrivial topology in their underlying single-particle electronic band structure [6, 7]. Generalizing our understanding of topological phases to the presence of strong many-body interactions represents one of the central questions in modern physics. Some of the simplest generalizations that have emerged along this direction are symmetry-protected topological (SPT) phases [8][9][10], which represent the minimal extension of topological band insulators to include many-body correlations. Featuring short-range entanglement, SPT phases do not exhibit anyonic excitations in their bulk, but nevertheless possess protected edge modes on their surface; as a result, they represent a particularly fertile ground for studying the interplay between symmetry, topology, and interactions.While indirect signatures of certain ground state SPTs have been observed in the solid state [11][12][13], directly probing the quantum coherence of their underlying edge modes represents an outstanding experimental challenge. In principle, cold-atom quantum simulations could offer a powerful additional tool set-including locally-resolved measurements and interferometric protocols-for probing the robustness of edge modes and systematically exploring their stability to specific perturbations [14][15][16][17][18]. Moreover, such platforms could also enable the controlled storage and transmission of quantum information [19][20][21]. Despite these advantages, and owing to the complexity of typical model SPT Hamiltonians, it remains difficult to engineer and stabilize SPT phases in coldatom systems. One approach to t...

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Section: Espt (mentioning

confidence: 99%

Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems

et al. 2017

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“…1, qubits are encoded in two long-lived hyperfine ground states |+ s , |s of 87 Rb and |a , |+ a of 133 Cs, representing physical and ancilla spins, respectively. These states are trapped in a deep optical or magnetic square lattice with unity filling [17,18] and frozen motion [14,15,19,20]. In particular, we choose the |F = 1, m F = 1 and |F = 2, m F = 2 hyperfine states of the 5 2 S 1/2 ground state manifold of 87 Rb and the |F = 4, m F = 4 and |F = 3, m F = 3 hyperfine states of the 6 2 S 1/2 ground state manifold of 133 Cs.…”

Section: Rydberg Implementationmentioning

confidence: 99%

A coherent quantum annealer with Rydberg atoms

et al. 2017

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There is a significant ongoing effort in realizing quantum annealing with different physical platforms. The challenge is to achieve a fully programmable quantum device featuring coherent adiabatic quantum dynamics. Here we show that combining the well-developed quantum simulation toolbox for Rydberg atoms with the recently proposed Lechner–Hauke–Zoller (LHZ) architecture allows one to build a prototype for a coherent adiabatic quantum computer with all-to-all Ising interactions and, therefore, a platform for quantum annealing. In LHZ an infinite-range spin-glass is mapped onto the low energy subspace of a spin-1/2 lattice gauge model with quasi-local four-body parity constraints. This spin model can be emulated in a natural way with Rubidium and Caesium atoms in a bipartite optical lattice involving laser-dressed Rydberg–Rydberg interactions, which are several orders of magnitude larger than the relevant decoherence rates. This makes the exploration of coherent quantum enhanced optimization protocols accessible with state-of-the-art atomic physics experiments.

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“…The present work defines a novel light-matter interface, where incoming photons are stored in delocalized atomic excitations in an atomic medium, with spin focusing providing the link and mapping to storage of qubits in single atoms. We note that existing experimental setups with Rydberg atoms [20][21][22][23] enabling the physical realization of 1D and 2D XY -spin models can provide first proof-of-principle experiments: here a single delocalized spin excitation as initial condition could be generated using the Rydberg-blockade mechanism in an atomic lattice [38,43,47], and with focusing dynamics implemented as described in the present work. This scenario could also be demonstrated with the spin models realized with trapped ions [7,8].…”

Section: Discussionmentioning

confidence: 95%

“…The quantum spin lenses proposed in the previous sections can be implemented with atoms stored in optical trap arrays, including large spacing optical lattices and and optical tweezers [38][39][40] in 1D, 2D and 3D, or alternatively with trapped ions in 1D [5][6][7][8].…”

Section: Implementation With Rydberg Atoms In 2d and 3d Arraysmentioning

confidence: 99%

Quantum Spin Lenses in Atomic Arrays

et al. 2017

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We propose and discuss quantum spin lenses, where quantum states of delocalized spin excitations in an atomic medium are focused in space in a coherent quantum process down to (essentially) single atoms. These can be employed to create controlled interactions in a quantum light-matter interface, where photonic qubits stored in an atomic ensemble are mapped to a quantum register represented by single atoms. We propose Hamiltonians for quantum spin lenses as inhomogeneous spin models on lattices, which can be realized with Rydberg atoms in 1D, 2D, and 3D, and with strings of trapped ions. We discuss both linear and nonlinear quantum spin lenses: in a nonlinear lens, repulsive spin-spin interactions lead to focusing dynamics conditional to the number of spin excitations. This allows the mapping of quantum superpositions of delocalized spin excitations to superpositions of spatial spin patterns, which can be addressed by light fields and manipulated. Finally, we propose multifocal quantum spin lenses as a way to generate and distribute entanglement between distant atoms in an atomic lattice array.

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Cold Matter Assembled Atom-by-Atom

Cited by 7 publications

References 28 publications

Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems

Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems

A coherent quantum annealer with Rydberg atoms

Quantum Spin Lenses in Atomic Arrays

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