Floquet-Engineered Vibrational Dynamics in a Two-Dimensional Array of Trapped Ions

Kiefer, Philip M.; Hakelberg, Frederick; Wittemer, Matthias; Bermúdez, A.; Porras, Diego; Warring, U.; Schaetz, Tobias

doi:10.1103/physrevlett.123.213605

Cited by 40 publications

(35 citation statements)

References 41 publications

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“…Similar models, now with exact Z(2) gauge symmetry, were studied theoretically [256] and realised recently in a cold-atom experiment [257]. Peierls states and phases were also studied in models of Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions [258]. Recently, density-dependent Peierls phases were realised coupling dynamical gauge fields to matter [259].…”

Section: Interacting Bosons On Dynamical Lattices [250-253]mentioning

confidence: 99%

Simulating lattice gauge theories within quantum technologies

et al. 2020

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Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the reliable quantum simulation of currently intractable aspects of QCD itself, lattice gauge theories also play an important role in condensed matter physics and in quantum information science. In this way, lattice gauge theories provide both motivation and a framework for interdisciplinary research towards the development of special purpose digital and analog quantum simulators, and ultimately of scalable universal quantum computers. In this manuscript, recent results and new tools from a quantum science approach to study lattice gauge theories are reviewed. Two new complementary approaches are discussed: first, tensor network methods are presented-a classical simulation approachapplied to the study of lattice gauge theories together with some results on

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Section: Interacting Bosons On Dynamical Lattices [250-253]mentioning

confidence: 99%

Simulating lattice gauge theories within quantum technologies

et al. 2020

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“…The presented (and rather general) theory paves the way for the experimental detection of chiral currents in trimers of meta-atoms in the latest quantum metamaterials, including with photonic [69][70][71][72] and plasmonic [73][74][75][76] excitations, as well as with circuit QED platforms [77][78][79], clusters of ions [80], and Rydberg [81,82] and ultracold [83][84][85][86] atoms. The tantalizing prospect of the realization of a building block of future non-reciprocal nanophotonic circuitry, such as a circulator or isolator [15][16][17][18][19][20][21][22], is within reach.…”

Section: Discussionmentioning

confidence: 99%

Non-reciprocal population dynamics in a quantum trimer

Downing

Zueco

2021

Proc. R. Soc. A.

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We study a quantum trimer of coupled two-level systems beyond the single-excitation sector, where the coherent coupling constants are ornamented by a complex phase. Accounting for losses and gain in an open quantum systems approach, we show how the mean populations of the states in the system crucially depend on the accumulated phase in the trimer. Namely, for non-trivial accumulated phases, the population dynamics and the steady states display remarkable non-reciprocal behaviour in both the singly and doubly excited manifolds. Furthermore, while the directionality of the resultant chiral current is primarily determined by the accumulated phase in the loop, the sign of the flow may also change depending on the coupling strength and the amount of gain in the system. This directionality paves the way for experimental studies of chiral currents at the nanoscale, where the phases of the complex hopping parameters are modulated by magnetic or synthetic magnetic fields.

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“…The coupling strengths and efficiencies are tunable via mode parameters and the inter‐site phonon dynamics can be steered by Floquet‐engineering. [ 38 ] iii) The final state of the array can be reconstructed when inter‐site couplings are turned off and local detection of all quantum states is concluded. Typically, such sequences are repeated 100 to 1000 times for identical parameter settings within a few seconds of data taking.…”

Section: Design Features and Prototypesmentioning

confidence: 99%

Trapped Ion Architecture for Multi‐Dimensional Quantum Simulations

et al. 2020

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A rich and powerful toolbox for individually trapped atomic ions is available for quantum information processing, including quantum metrology and quantum simulation, demonstrating control with highest fidelities. Building on this success, a novel architecture for analog quantum simulations aims at setting up fully controlled and reconfigurable quantum lattices by individually trapped ions in multi‐dimensional arrangements. In this article, an overview of recent developments and demonstrations of prototype operations is given. The features and limitations of the architecture are discussed and crucial steps toward mid and long‐term simulation applications are laid out.

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Floquet-Engineered Vibrational Dynamics in a Two-Dimensional Array of Trapped Ions

Cited by 40 publications

References 41 publications

Simulating lattice gauge theories within quantum technologies

Simulating lattice gauge theories within quantum technologies

Non-reciprocal population dynamics in a quantum trimer

Trapped Ion Architecture for Multi‐Dimensional Quantum Simulations

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