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arXiv:2103.03273 · Physical Review A

Manipulating phonons of a trapped-ion system using optical tweezers

Yi Hong Teoh, Manas Sajjan, Zewen Sun, Fereshteh Rajabi, Rajibul Islam

Published Aug 19, 2021• 22 citations
arXivHTMLPDF

Abstract

We propose an experimental architecture where an array of optical tweezers affords site-dependent control over the confining potential of a conventional radio-frequency ion trap. The site-dependent control enables programmable manipulation of phonon modes of ions, with many potential applications in quantum information processing (QIP) and thermodynamics. We describe protocols for programming the array of optical tweezers to attain a set of target phonon modes with high accuracy. We propose applications of such controls in simulating quantum thermodynamics of a particle of programmable effective mass via Jarzynski's equality and improving the efficiency of sympathetic cooling and quantum logic gates in a multispecies ion system of disparate masses. We discuss the required optical parameters in a realistic ion trap system and potential adverse effects of optical tweezers in QIP. Our scheme extends the utility of trapped ions as a platform for quantum computation and simulation.

DOI
10.1103/physreva.104.022420

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We propose an experimental architecture where an array of optical tweezers affords site-dependent control over the confining potential of a conventional radio-frequency ion trap. The site-dependent control enables programmable manipulation of phonon modes of ions, with many potential applications in quantum information processing (QIP) and thermodynamics. We describe protocols for programming the array of optical tweezers to attain a set of target phonon modes with high accuracy. We propose applications of such controls in simulating quantum thermodynamics of a particle of programmable effective mass via Jarzynski's equality and improving the efficiency of sympathetic cooling and quantum logic gates in a multispecies ion system of disparate masses. We discuss the required optical parameters in a realistic ion trap system and potential adverse effects of optical tweezers in QIP. Our scheme extends the utility of trapped ions as a platform for quantum computation and simulation.
Abstract As it has been demonstrated that trapped ion systems have unmatched long-lived quantum-bit (qubit) coherence and can support high-fidelity quantum manipulations, how to scale up the system size becomes an inevitable task for practical purposes. In this work, we theoretically analyse the physical limitation of scalability with a trapped ion array, and propose a feasible scheme of architecture that in principle allows an arbitrary number of ion qubits, for which the overhead only scales linearly with the system size. This scheme relies on the combined ideas of a trap architecture of tunable size, stabilisation of an ion crystal by optical tweezers, and continuous sympathetic cooling without touching the stored information. We demonstrate that illumination of optical tweezers modifies the motional spectrum by effectively pinning the ions, lifting the frequencies of the motional ground modes. By doing so, we make the structure of the array less vulnerable from thermal excitations, and suppress the position fluctuations to insure faithful gate operations. Finally, we also explore the local behaviour of cooling when a sub-array is isolated by optical tweezers from other parts of the crystal.
We propose a quantum computer architecture based on ions confined in optical tweezer arrays, combining the long coherence times of trapped-ion qubits with the reconfigurability and parallel operation enabled by tweezer platforms. Selected ions are transported to local interaction zones, where excitation to an auxiliary state with a displaced optical potential generates a controllable effective electric dipole. We develop and analyze entangling-gate mechanisms mediated by the Coulomb interaction between such effective dipoles, and show that they enable precise, temperature-robust closure of the center-of-mass and relative motional trajectories, leaving no residual entanglement between the qubits and the motion. We further outline a concrete implementation with barium ions based on state-selective polarizability, and study the suppression of cross-talk during parallel gate execution, with relevance to transversal gates in quantum error correction. Our results thereby establish a realistic route toward scalable ion-tweezer quantum processors.
Ion traps and optical tweezers have emerged as highly promising technologies in the development of quantum computing, enabling precise control over qubits through electromagnetic and optical confinement. This paper explores the fundamental principles, advantages, and limitations of ion traps, including Paul and Penning configurations, and evaluates their role in modern quantum architectures. Particular emphasis is placed on coherence time, fidelity, and all-to-all connectivity, which make trapped ions a leading qubit candidate despite challenges in scalability and optical complexity. The work also examines optical tweezers, which use tightly focused laser beams to trap and manipulate ions and atoms with high precision, facilitating scalable arrays of qubits. Furthermore, hybrid traps that integrate optical tweezers with Paul traps are discussed as promising solutions to mitigate Radio-Frequency (RF) micromotion and enhance stability for cold ion–atom systems. Python-based simulations are presented to illustrate ion dynamics under Brownian motion, electric fields, and Gaussian laser traps, demonstrating how trap strength directly affects oscillation amplitude and confinement. Results confirm that stronger optical potentials reduce oscillation amplitude, while weaker traps lead to ion escape, aligning with theoretical predictions. Overall, this study highlights how the interplay of electromagnetic and optical techniques advances the frontier of quantum information science, with direct implications for computation, communication, and simulation.
In recent years, quantum simulators have been the focus of intense research due to their potential in unraveling the inner workings of complex quantum systems. The exponential scaling of the Hilbert space of quantum systems limits the capabilities of classical approaches. Quantum simulators, on the other hand, are suited to efficiently emulate these quantum systems for in-depth research. Out of the various platforms for quantum simulators, trapped-ions have been prized for their long coherence times, exceptional initialization and detection fidelities and their innate full-connectivity. In the development of the trapped-ion apparatus as a quantum simulator, numerous optimization problems emerge. In this thesis, we examine, develop and refine the strategies available to us for addressing such problems. A class of techniques of particular interest to us is the set of machine learning algorithms. This can be attributed to their capabilities at identifying correlations in massive data sets. \nSpecifically, we describe how artificial neural networks can be employed to assist in the programming of the trapped-ion system as an arbitrary spin model quantum simulator. In addition, we present an augmentation to the trapped-ion architecture, utilizing optical tweezers, that enables the programmable manipulation of phonon modes. We describe the protocols developed to effectively program the phonon modes and propose an application of the scheme for enhancing the performance of multi-species systems. Finally, we explore the use of machine learning algorithms to perform state readout of the trapped-ion system. The work in this thesis extends the utility of the trapped-ion system for performing quantum information processing experiments.
Over the years, trapped ion have emerged as one of the premier candidates for universal \nquantum simulation due to its long coherence time, low initialization and detection errors, \nrobust high-fidelity gate sets and fully connected yet tunable spin-graph. In this thesis \nwe exclusively focus on the generation of the trapping potential in a four-rod trap, one of \nthe most commonly studied ion-trapping architecture. We elaborate the fabrication of the \ntrapping electrodes using electro-etching techniques and explore the underlying mechanism \nin details. We discuss how these electrodes are powered by DC and RF field to generate \nthe confining potential responsible for trapping the ions of interest in 3D. We conclude by \nstudying how this trapping potential can be modified by external means like using an optical \ntweezer. Employing such an optical tweezer we propose a new quantum-thermodynamic \nprotocol which shall allow us to experimentally access the thermal properties of a mixed specie \nion chain using a single-specie ion chain. The scheme is based on Jarynski's equality \nand obviates the need to trap dual-ionic species as far as illustrating the mechanical properties \nof the chain are concerned. We present results ratifying the utility of the proposal. \nThe scheme is useful to obtain mode-specific thermal properties hitherto unexplored experimentally.
We propose a tunable phonon laser prototype with a large trapped ion array, where some of the ions are effectively pinned by optical tweezers, thus isolating a subset of ions that mimics an acoustic cavity used as a phonon lasing resonator. The cavity loss can then be controlled by the tweezer strength and the ``wall thickness'', the number of pinned ions for isolation. We pump the resonator by applying blue-sideband lasers, and investigate the lasing dynamics of the ``cavity'' motional modes such as threshold behavior, population distribution, the second-order coherence, and linewidth narrowing. This scheme can be generalized to multimode resonators, for which we report the mode competition phenomenon and lasing mode multistability. Our work provides an excellent platform for acoustic quantum state manipulation, paving the way towards phonon-mediated quantum computing, communications, and metrology.