Probing many-body dynamics on a 51-atom quantum simulator

Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander; Levine, Harry; Omran, Ahmed; Pichler, Hannes; Choi, Soonwon; Zibrov, A. S.; Endres, Manuel; Greiner, Markus; Vuletić, Vladan; Lukin, Mikhail D.

doi:10.1038/nature24622

Cited by 2,224 publications

(2,426 citation statements)

References 65 publications

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“…We note that similar oscillations of excitation density of a Rydberg chain which has similar critical points following a quantum quench have been experimentally observed in Ref. 3. We therefore expect that the measurement of D av (t) following a periodic drive shall lead to experimental observation of the freezing phenomenon discussed in this work.…”

Section: Discussionmentioning

confidence: 61%

“…These observations provides an experimental route to verification of dynamic freezing phenomenon using similar measurements as those which have been already carried out in Ref. 3 for sudden quench protocol. Finally, we compare numerical results for periodic drive protocols obtained using dipole Hamiltonian (Eq.…”

Section: Introductionmentioning

confidence: 93%

“…The second, which mimics the experimental procedure carried out in Ref. 3, involves driving the system with E = E(t) (Eq. 11) till t = T followed by tracking its evolution with H 0 (t = 0) = H 0 (t = T ) for t > T when the drive is switched off.…”

Section: Periodic Drivementioning

confidence: 99%

“…More recently, such Z 3 and Z 4 symmetry broken states has been experimentally realized using a chain of Rydberg atoms with L ≤ 51 sites 3 . The effective Hamiltonian describing such atoms can be written as…”

Section: Introductionmentioning

confidence: 99%

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Ramp and periodic dynamics across non-Ising critical points

2018

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We study ramp and periodic dynamics of ultracold bosons in an one-dimensional (1D) optical lattice which supports quantum critical points separating a uniform and a Z3 or Z4 symmetry broken density-wave ground state. Our protocol involves both linear and periodic drives which takes the system from the uniform state to the quantum critical point (for linear drive protocol) or to the ordered state and back (for periodic drive protocols) via controlled variation of a parameter of the system Hamiltonian. We provide exact numerical computation, for finite-size boson chains with L ≤ 24 using exact-diagonalization (ED), of the excitation density D, the wavefunction overlap F , and the excess energy Q at the end of the drive protocol. For the linear ramp protocol, we identify the range of ramp speeds for which D and Q shows Kibble-Zurek scaling. We find, based on numerical analysis with L ≤ 24, that such scaling is consistent with that expected from critical exponents of the q-state Potts universality class with q = 3, 4. For periodic protocol, we show that the model display near-perfect dynamical freezing at specific frequencies; at these frequencies D, Q → 0 and |F | → 1. We provide a semi-analytic explanation of such freezing behavior and relate this phenomenon to a many-body version of Stuckelberg interference. We suggest experiments which can test our theory.

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Section: Discussionmentioning

confidence: 61%

Section: Introductionmentioning

confidence: 93%

Section: Periodic Drivementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Ramp and periodic dynamics across non-Ising critical points

2018

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“…For cold atoms, where Floquet control has so far been applied only to single-particle band strucarXiv:1610.07611v3 [cond-mat.quant-gas] 22 Sep 2017 2 tures [29][30][31][37][38][39], recent advances in optically controlling interactions [40][41][42][43][44][45][46][47] offer new opportunities for accessing strongly correlated phases [48][49][50][51]. Notably, coherent spin-spin interactions with a range of several microns [42,43,46,47] can be introduced via Rydberg dressing [42-44, 46, 47, 52-55]. However, prospects for modulating such dressing light in order to Floquet engineer many-body Hamiltonians has remained largely unexplored.…”

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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Everything You Always Wanted to Know about Quantum Circuits

Muñoz‐Coreas¹,

Thapliyal²

2022

Wiley Encyclopedia of Electrical and Electronics Engineering

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Quantum circuits are needed to realize the performance gains offered by quantum algorithms. We introduce the design and resource cost assessment of quantum circuits. We illustrate the design process through the development of quantum circuits for arithmetic computations as well as quantum datapaths for the image rotation task. This article opens by introducing physical properties unique to quantum computation. We then turn to quantum gates, quantum circuits, and how we measure the resource costs of a given quantum circuit. Resource cost measures for both NISQ computation and fault‐tolerant quantum computation are shown. We then present quantum circuits for arithmetic operations. Architectures for addition, subtraction, multiplication, and division are shown. The operation and design of each quantum arithmetic circuit are outlined. Using the arithmetic circuits presented as examples, we show how to calculate quantum circuit resource costs for both NISQ and fault‐tolerant quantum computation. This article concludes by illustrating the design of quantum datapaths for the image rotation operation.

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Probing many-body dynamics on a 51-atom quantum simulator

Cited by 2,224 publications

References 65 publications

Ramp and periodic dynamics across non-Ising critical points

Ramp and periodic dynamics across non-Ising critical points

Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems

Everything You Always Wanted to Know about Quantum Circuits

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