Squeezing of atoms in a pulsed optical lattice

Leibscher, M.; Averbukh, Ilya Sh.

doi:10.1103/physreva.65.053816

Cited by 28 publications

(36 citation statements)

References 38 publications

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“…For the qudit case we follow Ref. [2], wherein the authors show that if one has a gate set consisting of arbitrary single qudit unitaries and a gate which is diagonal in the computational basis, V | jk = e iθ jk | jk , which satisfies θ jk + θ pq = θ jq + θ pk , mod 2π for some j, k, p, q, (13) then this suffices for exactly universal quantum computation. Exact universality means that any unitary evolution can be obtained by a finite sequence of gates, as opposed to a dense of set of unitaries that cover the group.…”

Section: B Summarymentioning

confidence: 99%

“…We can however achieve highly squeezed states by physically allowed global operations perhaps using the assistance of the associated data CV. Examples of such protocols include using using extremely short pulses of a standing wave potential [13] confining the spatial degree of freedom of the CV as demonstrated using trapped atoms in optical dipole potentials [14] We have considered here another chain, but we have purposely chosen only one of the chains to be capable of universally controllable such that we can also think of every q-site having two degrees of freedom, e.g. an oscillator in y and x, but considering that q-sites can only be coupled though one of the degrees of freedom.…”

Section: Initialization and Readoutmentioning

confidence: 99%

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Globally controlled universal quantum computation with arbitrary subsystem dimension

2009

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We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is developed over a one spatial dimension N-element array, requiring only mirror symmetric logical encoding and global pulses. A mechanism using ancillary degrees of freedom for subsystem specific measurement is also presented.PACS numbers: 03.67.Lx Quantum computation involves control at some level of a large number of quantum subsystems. The traditional circuit based approach is to have a set of subsystems for storing quantum information, denoted q-sites, which are fully addressable not only individually but in subsets [1]. It is known that universal quantum computation is possible, independent of subsystem dimension, when arbitrary single q-site unitaries and 2-q-site entangling gates are available [2, 3]. Yet addressing individual subsystems in large arrays is extremely challenging and can impose significant errors due to miss-alignment of the fields which unintentionally act on neighbors to the target (cross-talk) or miss the target. Thus as a mean to avoid it another option appeared: global control schemes [4,5,6].The philosophy behind global control is to reduce the interaction with the array of q-sites to require only global manipulation, implemented for instance through global fields homogeneously coupled with all q-sites. In general such global control schemes require a natural evolution (time step) for the array, and tailored sequences of global pulses which translate physical asymmetries in the array into control of particular sites or, equivalently, chronological control into spatial control. When the resultant evolution is a set of gates which act on small neighborhoods in parallel, this is also a quantum cellular automata (QCA) model. The models for global control have been so far concerned only with qubits [4,6], however with the development of higher dimensional computational models (using qudit computation and continuous variables(CV), also called qunat computation) that show advantages in terms of efficiency and robustness [7], the natural direction is to find a way to implement such models in a globally controlled fashion.The aim of this paper is to develop such a model in one spatial dimension, inspired by a previous protocol restricted to qubits [6] and recent results on globally controlled transport of qudits and qunats [8]. The main technical difficulty is the presence of more complex phases that appear in higher dimensions, in contrast with the {1, −1} phase in the qubit case, and solving equations for discrete variables which are defined modulo the dimension d of the logical q-site under consideration. Fortunately, in [8] we developed most of the tools we will need as well as revising some of the known results avail- * E-mail: gpazsil@ics.mq.edu.au able in the literature [9].The paper is organized as follows: in Sec.I we review some mathematical results on bases for the operator space particularly exploring a...

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Section: B Summarymentioning

confidence: 99%

Section: Initialization and Readoutmentioning

confidence: 99%

Globally controlled universal quantum computation with arbitrary subsystem dimension

2009

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“…From this point of view, enhanced focusing of the atomic beam can be considered as a squeezing process on atoms in the optical lattice. In recent work [16], novel squeezing technique has been introduced for atoms in a pulsed optical lattice. The approach considered a time modulation of the SW with a series of short laser pulses.…”

Section: Introductionmentioning

confidence: 99%

Atom nanolithography with multilayer light masks: Particle optics analysis

2005

Self Cite

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We study the focusing of atoms by multiple layers of standing light waves in the context of atom lithography. In particular, atomic localization by a double-layer light mask is examined using the optimal squeezing approach. Operation of the focusing setup is analyzed both in the paraxial approximation and in the regime of nonlinear spatial squeezing for the thin-thin as well as thinthick atom lens combinations. It is shown that the optimized double light mask may considerably reduce the imaging problems, improve the quality of focusing and enhance the contrast ratio of the deposited structures.

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“…For ⌫ = 0, the time dependence for O͑t͒ for arrangement (a) is identical to that for (b), because the two rotors are no longer correlated via dipolar interaction. In this case, the orientation factor yields a simple form [23] of…”

Section: A the Orientation Factormentioning

confidence: 99%

Orienting coupled quantum rotors by ultrashort laser pulses

Shima

Nakayama

2004

Phys. Rev. A

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We pointed out that the nonadiabatic orientation of quantum rotors, produced by ultrashort laser pulses, is remarkably enhanced by introducing dipolar interaction between the rotors. This enhanced orientation of quantum rotors is in contrast with the behavior of classical paired rotors, in which dipolar interactions prevent the orientation of the rotors. We demonstrate also that a specially designed sequence of pulses can most efficiently enhance the orientation of quantum paired rotors.

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Squeezing of atoms in a pulsed optical lattice

Cited by 28 publications

References 38 publications

Globally controlled universal quantum computation with arbitrary subsystem dimension

Globally controlled universal quantum computation with arbitrary subsystem dimension

Atom nanolithography with multilayer light masks: Particle optics analysis

Orienting coupled quantum rotors by ultrashort laser pulses

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