Direct measurement of the Wigner function of atoms in an optical trap

Winkelmann, Falk-Richard; Weidner, Carrie A.; Ramola, Gautam; Alt, Wolfgang; Meschede, Dieter; Alberti, Andrea

doi:10.1088/1361-6455/ac8bb8

Cited by 9 publications

(2 citation statements)

References 50 publications

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“…( 8) is replaced by Θ + 𝛿/2 and the resulting intensity pattern becomes time-dependent and, so, it moves in space [20]. Such a functionality can be used to perform a displacement of trapped atoms over a known distance [21].…”

Section: Atom Transport Via Moving Trapsmentioning

confidence: 99%

Miniature atom bottle traps enabled by chiral doughnut light

Yuan¹,

Köksal²,

Lembessis³

et al. 2023

Preprint

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A novel optical set-up which enables cold atoms to be trapped in a finite set of miniature (sub-wavelength) bottle traps is highlighted. These bottle traps are formed when the atoms interact with a tightly focused standing wave due to two-counter propagating optical vortex beams possessing the same winding number $\ell=\pm1$ and the same circular polarization ($\sigma=\mp 1)$. Tight focusing generates strong longitudinal field components which become responsible for an on-axis standing wave. The resulting optical potential leads to the axial confinement of far blue-detuned atoms. This completes the formation of the bottle trap, since the off-axis radial confinement is, as usual, provided by the optical potential due to the interference of the transverse components of the light. The main characteristics of the bottle traps are illustrated using typical experimentally-accessible parameters. Due to the spin-orbit coupling the trap parameters are tunable by changing the ellipicity of the light.

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Section: Atom Transport Via Moving Trapsmentioning

confidence: 99%

Miniature atom bottle traps enabled by chiral doughnut light

Yuan¹,

Köksal²,

Lembessis³

et al. 2023

Preprint

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show abstract

“…Such a quantum state tomography [22] is a matter of great relevance to quantum computation and simulation. Several methods to solve that problem have been put forward, using, for example, mappings from the motional state to internal degrees of freedom [23][24][25], or, more recently, in the context of many-body systems, exploiting randomized measurements [26] or neural networks [27]. Here we implement state reconstruction for the atomic state in the lattice through a maximum likelihood iterative method inspired by quantum optics [28][29][30][31][32][33], using measurements of the free evolution of the prepared state in the lattice.…”

Section: Introductionmentioning

confidence: 99%

Phase-space distributions of Bose–Einstein condensates in an optical lattice: optimal shaping and reconstruction

et al. 2023

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We apply quantum optimal control to shape the phase-space distribution of Bose-Einstein condensates in a one-dimensional optical lattice. By a time-dependent modulation of the lattice position, determined from optimal control theory, we prepare, in the phase space of each lattice site, translated and squeezed Gaussian states, and superpositions of Gaussian states. Complete reconstruction of these non-trivial states is performed through a maximum likelihood state tomography. As a practical application of our method to quantum simulations, we initialize the atomic wavefunction in an optimal Floquet-state superposition to enhance dynamical tunneling signals.

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Wignerian symplectic covariance approach to the interaction-time problem

Woźniak,

Kalka,

Kołaczek

et al. 2024

Sci Rep

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The concept of the symplectic covariance property of the Wigner distribution function and the symplectic invariance of the Wigner–Rényi entropies has been leveraged to estimate the interaction time of the moving quantum state in the presence of an absolutely integrable time-dependent potential. For this study, the considered scattering centre is represented initially by the Gaussian barrier. Two modifications of this potential energy are considered: a sudden change from barrier to barrier and from barrier to well. The scattering state is prepared in the form of a Schrödinger cat, and the Moyal equation governs its further time evolution. The whole analysis of the considered scattering problem is conducted in the above-barrier regime using the phase-space representation of quantum theory. The presented concept shifts the focus from the dynamics of the quantum state to a symplectically invariant state functions in the form of the Wigner–Rényi entropies of order one and one-half. These quantities serve as indicators of the beginning and end of the interaction of the non-Gaussian state with the sufficiently fast decaying potential representing the scattering centre. The presented approach is significant because it provides a new way to estimate the interaction time of moving quantum states with the dynamical scattering centre. Moreover, it allows for studying scattering processes in various physical systems, including atoms, molecules, and condensed matter systems.

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Direct measurement of the Wigner function of atoms in an optical trap

Cited by 9 publications

References 50 publications

Miniature atom bottle traps enabled by chiral doughnut light

Miniature atom bottle traps enabled by chiral doughnut light

Phase-space distributions of Bose–Einstein condensates in an optical lattice: optimal shaping and reconstruction

Wignerian symplectic covariance approach to the interaction-time problem

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