Manipulation of Motional Quantum States of Neutral Atoms

Morinaga, Makoto; Bouchoule, Isabelle; Karam, J.-C.; Salomon, C.

doi:10.1103/physrevlett.83.4037

Cited by 103 publications

(85 citation statements)

References 15 publications

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“…Such transitions between vibrational levels are routinely employed in ion trap QIP [27] and have been demonstrated in optical dipole traps [35]. Similar experiments with neutral atoms in chip traps still have to be performed.…”

Section: Motional Qubitsmentioning

confidence: 98%

Quantum computing implementations with neutral particles

Negretti

Treutlein

Calarco

2011

Quantum Inf Process

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We review quantum information processing with cold neutral particles, that is, atoms or polar molecules. First, we analyze the best suited degrees of freedom of these particles for storing quantum information, and then we discuss both single- and two-qubit gate implementations. We focus our discussion mainly on collisional quantum gates, which are best suited for atom-chip-like devices, as well as on gate proposals conceived for optical lattices. Additionally, we analyze schemes both for cold atoms confined in optical cavities and hybrid approaches to entanglement generation, and we show how optimal control theory might be a powerful tool to enhance the speed up of the gate operations as well as to achieve high fidelities required for fault tolerant quantum computation.Comment: 19 pages, 12 figures; From the issue entitled "Special Issue on Neutral Particles

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Section: Motional Qubitsmentioning

confidence: 98%

Quantum computing implementations with neutral particles

Negretti

Treutlein

Calarco

2011

Quantum Inf Process

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“…Typically, the effect of dephasing is dominating decoherence [6][7][8][9][10][11][12][13], so that a direct determination of the coherence time is not possible. Here, we show how these limitations can be overcome: For the case of symmetrical oscillations, Bulatov et al [14] have recently proposed and numerically simulated an echo-mechanism to reverse the effect of dephasing and stimulate the revival of the wave packet oscillations by means of two successive non-adiabatic changes in the depth of the lattice potential.…”

Section: 80pj 4250vkmentioning

confidence: 99%

Wave Packet Echoes in the Motion of Trapped Atoms

et al. 2000

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We experimentally demonstrate and systematically study the stimulated revival (echo) of motional wave packet oscillations. For this purpose, we prepare wave packets in an optical lattice by non-adiabatically shifting the potential and stimulate their reoccurence by a second shift after a variable time delay. This technique, analogous to spin echoes, enables one even in the presence of strong dephasing to determine the coherence time of the wave packets. We find that for strongly bound atoms it is comparable to the cooling time and much longer than the inverse of the photon scattering rate.32.80. Pj, 42.50.Vk The process of decoherence, i.e. the collapse of superposition states due to the dissipative interaction with their environment is one of the basic concepts for our understanding of the connection between classical and quantum physics. In order to study the effect of decoherence unambiguously, one has to be able to distinguish it from other, non-dissipative effects. The macroscopic (i.e. ensemble-or time-averaged) response of a quantum system prepared in a superposition state typically decays not only due to the loss of coherence (homogeneous decay) but also due to dephasing resulting from local variations in the evolution of the quantum system (inhomogeneous decay). In many cases decoherence cannot be studied directly because the inhomogeneous decay is by far the dominating process.This limitation has been overcome in a famous series of experiments by introducing the techniques of spin echo for nuclear magnetic resonance (NMR) and photon echo for optical resonance, respectively [1][2][3]. These techniques are based on the observation that inhomogeneous decay due to dephasing is a reversible process. Thus, by appropriately modifying superposition states at a time ∆t after their preparation, the dephasing can be partially or fully reversed and a stimulated macroscopic response (echo) is induced at 2∆t. This effect enables one to measure the coherence time even in the presence of strong dephasing. We have, for the first time, applied this method to the investigation of the decoherence of motional wave packets of trapped atoms (Fig. 1). The method can be used independent of the specific experimental realization of the confining potential (e.g. a single dipole potential, periodic dipole potentials, magnetic trapping potentials, inhomogeneous arrays of atom traps, etc.).The specific system investigated here consists of motional wave packets of neutral atoms in a one-dimensional optical lattice. Optical lattices are periodic dipole potentials for atoms created by the interference of multiple laser beams [4]. Atoms can be trapped and cooled at the potential minima (mean position spread z rms =λ/18[5]). In optical lattices symmetrically and asymmetrically oscillating motional wave packets can be induced by nonadiabatically changing the lattice potential [6][7][8][9][10][11]. Quantum mechanically, the original atomic wave function is projected onto a coherent superposition of the eigenstates of the new potential a...

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“…Indeed, the motion of a Rydberg electron [15], the center-of-mass motion of an ion stored in a Paul trap [16] or an atom in a standing wave [17] together with the periodic exchange of excitation between an atom and the photon field in a high-Q cavity [18] represent only a few examples of wave packets which are now almost routinely realized experimentally in many laboratories around the world. Central to these observations is the autocorrelation function representing the time-dependent overlap between the time-evolved state and the initial state of the quantum system of interest.…”

Section: A Inverse Spectral Problemmentioning

confidence: 99%

“…(17)] is a thermal phase state in the anharmonic oscillator with the logarithmic energy spectrum [Eq. (1)].…”

Section: B Thermal Phase Statesmentioning

confidence: 99%

Riemannζfunction from wave-packet dynamics

et al. 2010

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We show that the time evolution of a thermal phase state of an anharmonic oscillator with logarithmic energy spectrum is intimately connected to the generalized Riemann ζ function ζ (s,a). Indeed, the autocorrelation function at a time t is determined by ζ (σ + iτ,a), where σ is governed by the temperature of the thermal phase state and τ is proportional to t. We use the JWKB method to solve the inverse spectral problem for a general logarithmic energy spectrum; that is, we determine a family of potentials giving rise to such a spectrum. For large distances, all potentials display a universal behavior; they take the shape of a logarithm. However, their form close to the origin depends on the value of the Hurwitz parameter a in ζ (s,a). In particular, we establish a connection between the value of the potential energy at its minimum, the Hurwitz parameter and the Maslov index of JWKB. We compare and contrast exact and approximate eigenvalues of purely logarithmic potentials. Moreover, we use a numerical method to find a potential which leads to exact logarithmic eigenvalues. We discuss possible realizations of Riemann ζ wave-packet dynamics using cold atoms in appropriately tailored light fields.

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Manipulation of Motional Quantum States of Neutral Atoms

Cited by 103 publications

References 15 publications

Quantum computing implementations with neutral particles

Quantum computing implementations with neutral particles

Wave Packet Echoes in the Motion of Trapped Atoms

Riemannζfunction from wave-packet dynamics

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