On the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in a one-dimensional optical lattice by laser frequency sweeps

Petrosyan, David; Mølmer, Klaus; Fleischhauer, Michael

doi:10.1088/0953-4075/49/8/084003

Cited by 12 publications

(24 citation statements)

References 38 publications

(80 reference statements)

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“…To prepare the system in these phases, we control the detuning ∆(t) of the driving lasers dynamically to adiabatically transform the ground state of the Hamiltonian from a product state of all atoms in |g to crystalline states [22,33]. In contrast to prior work where Rydberg crystals are prepared via a sequence of avoided crossings [22,33,34], the operation at a finite Ω and welldefined atom separation allows us to move across a single phase transition into the desired phase directly [32].…”

Section: Programmable Quantum Simulatormentioning

confidence: 99%

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

Bernien

Schwartz

Keesling

et al. 2017

Nature

2,224

2,268

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Controllable, coherent many-body systems can provide insights into the fundamental properties of quantum matter, enable the realization of new quantum phases and could ultimately lead to computational systems that outperform existing computers based on classical approaches. Here we demonstrate a method for creating controlled many-body quantum matter that combines deterministically prepared, reconfigurable arrays of individually trapped cold atoms with strong, coherent interactions enabled by excitation to Rydberg states. We realize a programmable Ising-type quantum spin model with tunable interactions and system sizes of up to 51 qubits. Within this model, we observe phase transitions into spatially ordered states that break various discrete symmetries, verify the high-fidelity preparation of these states and investigate the dynamics across the phase transition in large arrays of atoms. In particular, we observe robust many-body dynamics corresponding to persistent oscillations of the order after a rapid quantum quench that results from a sudden transition across the phase boundary. Our method provides a way of exploring many-body phenomena on a programmable quantum simulator and could enable realizations of new quantum algorithms.

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Section: Programmable Quantum Simulatormentioning

confidence: 99%

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

Bernien

Schwartz

Keesling

et al. 2017

Nature

2,224

2,268

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“…The experiment in Ref. [46] employed a carefully designed adiabatic pulse scheme [22,[48][49][50], slowly evolving the initial ground state with no Rydberg excitations into the desired crystalline state.…”

Section: Introductionmentioning

confidence: 99%

Optimal control of Rydberg lattice gases

Cui

Bijnen

Pohl

et al. 2017

Quantum Sci. Technol.

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We present optimal control protocols to prepare different many-body quantum states of Rydberg atoms in optical lattices. Specifically, we show how to prepare highly ordered many-body ground states, GHZ states as well as some superposition of symmetric excitation number Fock states, that inherit the translational symmetry from the Hamiltonian, within sufficiently short excitation times minimising detrimental decoherence effects. For the GHZ states, we propose a two-step detection protocol to experimentally verify the optimized preparation of the target state based only on standard measurement techniques. Realistic experimental constraints and imperfections are taken into account by our optimisation procedure making it applicable to ongoing experiments.

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“…Some of these advances rely on the use of optical tweezer arrays, which permit the creation of various lattice geometries [11] and were recently used to deterministically obtain an optical lattice with close-to-unit filling [12,13]. Importantly, techniques allowing for addressing a single atom in such arrays have been developed [14][15][16][17] opening new possibilities for non-adiabatic quantum state engineering, which might help to overcome limitations imposed by the required timescales for adiabatic procedures, where detrimental relaxation effects may become important [18]. First steps in this direction were taken e.g.…”

Section: Introductionmentioning

confidence: 99%

Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms

et al. 2017

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Motivated by recent progress in the experimental manipulation of cold atoms in optical lattices, we study three different protocols for non-adiabatic quantum state preparation and state transport in chains of Rydberg atoms. The protocols we discuss are based on the blockade mechanism between atoms which, when excited to a Rydberg state, interact through a van der Waals potential, and rely on single-site addressing. Specifically, we discuss protocols for efficient creation of an antiferromagnetic GHZ state, a class of matrix product states including a so-called Rydberg crystal and for the state transport of a single-qubit quantum state between two ends of a chain of atoms. We identify system parameters allowing for the operation of the protocols on timescales shorter than the lifetime of the Rydberg states while yielding high fidelity output states. We discuss the effect of positional disorder on the resulting states and comment on limitations due to other sources of noise such as radiative decay of the Rydberg states. The proposed protocols provide a testbed for benchmarking the performance of quantum information processing platforms based on Rydberg atoms. for example using ultracold ions [23]. Similarly, MPSs play a central role in classical simulations of quantum Hamiltonians in one dimension [24][25][26] and are naturally realized as ground states of some finite-range interaction spin chains [27][28][29] which are related to the problem of classical hardcore dimers [30]. For that reason we refer to the class of MPSs considered in this article as dimer-MPS. Importantly, the dimer-MPS feature the so-called Rydberg crystal as a special case [7,[31][32][33]. Finally, faithful transport of a quantum state between different nodes of a quantum network is an essential requirement for QIP schemes such as quantum computation [34]. Various methods to achieve quantum state transport between spatially separated qubits have been proposed [45][46][47]. These include schemes based on atoms connected through an optical link [35] or Rydberg atoms, where the transport is achieved through interactions between the Rydberg atoms and atomic ensembles which communicate through a photon exchange [36].In this paper, the QIP is based on the so-called 'Rydberg blockade' mechanism which relies on the strong repulsive interaction between atoms excited to a Rydberg state [3]. We first introduce the protocols for GHZ state and dimer-MPS generation and quantum state transport in the idealized limit of perfect blockade in section 2. In this regime the blockade mechanism can be effectively described by a three-body Hamiltonian which constitutes the basic building block of the studied protocols. Next, we investigate the influence of more realistic conditions, such as the non-perfect blockade due to the finite value of the interaction energy and the tails of the interaction or the positional disorder of the atoms held in optical tweezers [37] in section 3. There, we relax the requirement of strict blockade and consider instead an evolution guide...

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On the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in a one-dimensional optical lattice by laser frequency sweeps

Cited by 12 publications

References 38 publications

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

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

Optimal control of Rydberg lattice gases

Non-adiabatic quantum state preparation and quantum state transport in chains of Rydberg atoms

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