Optimal trajectories for efficient atomic transport without final excitation

Chen, Xi; Torrontegui, E.; Stefanatos, Dionisis; Li, Jr-Shin; Muga, J. G.

doi:10.1103/physreva.84.043415

Cited by 147 publications

(217 citation statements)

References 50 publications

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“…Among other approaches let us mention (i) a transitionless tracking algorithm or "counterdiabatic" approach that adds to the original Hamiltonian extra terms to cancel transitions in the adiabatic or superadiabatic bases [8][9][10][11][12][13]; (ii) inverse engineering of the external driving [3,4,6,[21][22][23][24][25][26] based on Lewis-Riesenfeldt invariants [27], which has been applied in several expansion experiments [25,26]; (iii) optimal control (OC) methods [5,7,14,16], sometimes combined with other methods to enhance their performance [4,5,7]; (iv) the fast-forward (FF) approach advocated by Masuda and Nakamura [19,28]; (v) parallel adiabatic passage [29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the practical need to accelerate quantum adiabatic processes in different contexts (transport [1][2][3][4][5], expansions [6,7], population inversion and control [8][9][10][11][12][13], cooling cycles [6,14,15], wavefunction splitting [16][17][18][19]), and by related fundamental questions (about the quantum limits to the speed of processes, the viability of adiabatic computing [20], or the third principle of thermodynamics [14,21]), a flurry of theoretical and experimental activity has been triggered by the proposal of several approaches to design "shortcuts to adiabaticity". Among other approaches let us mention (i) a transitionless tracking algorithm or "counterdiabatic" approach that adds to the original Hamiltonian extra terms to cancel transitions in the adiabatic or superadiabatic bases [8][9][10][11][12][13]; (ii) inverse engineering of the external driving [3,4,6,[21][22][23][24][25][26] based on Lewis-Riesenfeldt invariants [27], which has been applied in several expansion experiments [25,26]; (iii) optimal control (OC) methods [5,...…”

Section: Introductionmentioning

confidence: 99%

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Shortcuts to adiabaticity: Fast-forward approach

et al. 2012

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The "fast-forward" approach by Masuda and Nakamura generates driving potentials to accelerate slow quantum adiabatic dynamics. First we present a streamlined version of the formalism that produces the main results in a few steps. Then we show the connection between this approach and inverse engineering based on Lewis-Riesenfeld invariants. We identify in this manner applications in which the engineered potential does not depend on the initial state. Finally we discuss more general applications exemplified by wave splitting processes.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Shortcuts to adiabaticity: Fast-forward approach

et al. 2012

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“…We might also use nonadiabatic transport of an atom with shorter execution time compared to adiabatic transfer and improve the fidelity. This is realized by employing the Lewies-Riesenefeld invariant [26] associated with the Hamiltonian for example [27,28]. Application of nonadiabatic atom transport to the current problem will discuss in other paper.…”

Section: Numerical Calculationmentioning

confidence: 99%

Two-Qubit Gate Operation on Selected Nearest-Neighbor Neutral Atom Qubits

Lapasar

Kasamatsu

Chormaic³

et al. 2014

J. Phys. Soc. Jpn.

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We have previously discussed the design of a neutral atom quantum computer with an on-demand interaction [E. Hosseini Lapasar, et al., J. Phys. Soc. Jpn. 80, 114003 (2011)]. In this contribution, we propose an experimental method to demonstrate a selective two-qubit gate operation that is less demanding than our original proposal, although the gate operation is limited to act between two neighboring atoms. We evaluate numerically the process of a two-qubit gate operation that is applied to a selected pair of nearest-neighbor, trapped atoms and we estimate the upper bound of the gate operation time and corresponding gate fidelity. The proposed scheme is scalable and, though challenging, is feasible with current experimental capabilities.

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“…e.g. [26], by selecting among the fidelity-one protocols according to other physical requisites. As for interactions and nonlinearities, they will generally spoil a clean multiplexing/demultiplexing processes, so we have only examined linear dynamics here.…”

Section: /2mentioning

confidence: 99%

Vibrational Mode Multiplexing of Ultracold Atoms

et al. 2013

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Sending multiple messages on qubits encoded in different vibrational modes of cold atoms or ions along a transmission waveguide requires to merge first and then separate the modes at input and output ends. Similarly, different qubits can be stored in the modes of a trap and be separated later. We design the fast splitting of a harmonic trap into an asymmetric double well so that the initial ground vibrational state becomes the ground state of one of two final wells, and the initial first excited state becomes the ground state of the other well. This might be done adiabatically by slowly deforming the trap. We speed up the process by inverse engineering a double-function trap using dynamical invariants. The separation (demultiplexing) followed by an inversion of the asymmetric bias and then by the reverse process (multiplexing) provides a population inversion protocol based solely on trap reshaping. Introduction.-One of the main goals of atomic physics is to achieve an exhaustive control of atomic states and dynamics [1]. The ultra-cold domain is particularly suitable for this aim as it provides a rich scenario of quantum states and phenomena. Atom optics and atomtronics [2] intend to manipulate cold atoms in circuits and devices for applications in metrology, quantum information, or fundamental science. These devices are frequently inspired by electronics (e.g. the atom diode [3,4], the transistor [2], atom chips [5]), or optics (e.g. beam splitters [6], or multiplexing [7,8]).In this paper we shall focus on a cold-atom realization of multiplexing, a basic process in modern telecommunications. Multiplexing is the transmission of different messages via a single physical medium. A multiplexer combines signals from several emitters into a single medium whereas a demultiplexer performs the reverse operation. The concept of multiplexing is relevant for quantum information processing (for its use in quantum repeaters see [9,10], or for trapped ions [11]). We envision here optical or magnetic waveguides for atoms holding several transverse orthogonal modes [12][13][14][15]. If the qubit is encoded in the internal state of the atom, several qubits may be carried out simultaneously by different modes. To develop such a quantum-information architecture, fast mul-

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Optimal trajectories for efficient atomic transport without final excitation

Cited by 147 publications

References 50 publications

Shortcuts to adiabaticity: Fast-forward approach

Shortcuts to adiabaticity: Fast-forward approach

Two-Qubit Gate Operation on Selected Nearest-Neighbor Neutral Atom Qubits

Vibrational Mode Multiplexing of Ultracold Atoms

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