Adiabatic radio-frequency potentials for the coherent manipulation of matter waves

Lesanovsky, Igor; Schumm, Thorsten; Hofferberth, Sebastian; Andersson, L. Mauritz; Krüger, Peter; Schmiedmayer, Jörg

doi:10.1103/physreva.73.033619

Cited by 146 publications

(221 citation statements)

References 35 publications

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Section: Rf Dressed State Potentialsmentioning

confidence: 99%

“…The coupled states are the magnetic sub-states of an atomic hyperfine ground state and a spatially dependent Zeeman-shift can be used to locally change the coupling strength. Furthermore, the coupling is magnetic and of vector nature, hence not only the amplitudes but also the (local) orientation of the involved RF and static magnetic fields determine the coupling strength [10].For our experiments we create the RF dressed state potentials by combining a static Ioffe magnetic trap (B S (r)) with a two component homogeneous RF-field (B RF ) with frequency ω RF and relative phase shift δ.B S (r) = Gxe x − Gye y + B I e z (1) B RF = B A e x cos(ω RF t)+B B e y cos(ω RF t + δ).G is the gradient of the underlying static quadrupol field and B I the magnitude of the Ioffe field. Following [10] the adiabatic RF-potential created can be written as…”

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confidence: 99%

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Radiofrequency-dressed-state potentials for neutral atoms

et al. 2006

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Potentials for atoms can be created by external fields acting on properties like magnetic moment, charge, polarizability, or by oscillating fields which couple internal states. The most prominent realization of the latter is the optical dipole potential formed by coupling ground and electronically excited states of an atom with light. Here we present an experimental investigation of the remarkable properties of potentials derived from radio-frequency (RF) coupling between electronic ground states. The coupling is magnetic and the vector character allows to design state dependent potential landscapes. On atom chips this enables robust coherent atom manipulation on much smaller spatial scales than possible with static fields alone. We find no additional heating or collisional loss up to densities approaching 10 15 atoms / cm 3 compared to static magnetic traps. We demonstrate the creation of Bose-Einstein condensates in RF potentials and investigate the difference in the interference between two independently created and two coherently split condensates in identical traps. All together this makes RF dressing a powerful new tool for micro manipulation of atomic and molecular systems. Dressing of internal states of an atom with an external field is a well known technique in quantum optics [1]. The coupling of atomic states to an oscillating field leads to new eigenstates and eigenenergies in the combined system. These dressed states can form adiabatic potentials, which can be employed for atom trapping and manipulation. The most prominent example is the optical dipole potential [2] created when intense coherent light couples ground and electronically excited states of an atom. To create conservative potentials for coherent manipulation spontaneous relaxation of the excited state has to be avoided and hence the light field has to be far detuned. Consequently the magnitude and shape of the dipole potential is given by the local intensity of the light field. Such far detuned dipole potentials are widely used in ultra cold atom experiments [3].Dressing can also be achieved by coupling hyperfine components of the electronic ground state by a magnetic radio-frequency (RF) or micro-wave (MW) field. Dressed state potentials resulting from RF coupling of two spin states in a magnetic field have been studied in neutron optics [4]. Adiabatic potentials induced by coupling hyperfine states with a micro wave have been proposed in Ref. [5], and a detuned micro-wave has been used for trapping ultra cold Cs atoms [6]. The trapping of neutral atoms with RF induced potentials was proposed in [7] and first demonstrated for thermal Rb atoms [8]. Recently RF dressed state potentials were employed for coherent splitting of a one-dimensional Bose-Einstein condensate and matter-wave interference [9]. In this paper, we give for the first time a full experimental demonstra- * Electronic address: hofferberth@atomchip.org tion and analysis of the remarkable properties of these adiabatic RF dressed state potentials, which make them a versatile ...

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Section: Rf Dressed State Potentialsmentioning

confidence: 99%

mentioning

confidence: 99%

Radiofrequency-dressed-state potentials for neutral atoms

et al. 2006

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“…They not only allow us to create standard trapping potentials [12] but can also be used to coherently manipulate matter waves [13,14] or create complicated, nonstandard trapping geometries [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Coherent adiabatic transport of atoms in radio-frequency traps

Morgan

O’Sullivan²,

Busch³

2011

Phys. Rev. A

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Coherent transport by adiabatic passage has recently been suggested as a high-fidelity technique to engineer the center-of-mass state of single atoms in inhomogeneous environments. While the basic theory behind this process is well understood, several conceptual challenges for its experimental observation have still to be addressed. One of these is the difficulty that currently available optical or magnetic micro-trap systems have in adjusting the tunneling rate time dependently while keeping resonance between the asymptotic trapping states at all times. Here we suggest that both requirements can be fulfilled to a very high degree in an experimentally realistic setup based on radio-frequency traps on atom chips. We show that operations with close to 100% fidelity can be achieved and that these systems also allow significant improvements for performing adiabatic passage with interacting atomic clouds

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“…The control parameter λ(t) determines the variation of the confining potential when changing the external parameters [18,19] (for details see below). Through λ(t) it is possible to manipulate the trapped Bose-Einstein condensate, e.g.…”

Section: Model Systemsmentioning

confidence: 99%

“…For instance, v = @( lambda ) ( 0.5 * k * ( grid.x -lambda ) .^2 ); % harmonic confinement potential defines a harmonic confinement potential whose origin is shifted by the control parameter. As another example, we consider the potential of Lesanovsky et al [19] for the transition from a single well to a double well, as shown in Fig. 5.…”

Section: Control Parametermentioning

confidence: 99%

OCTBEC—A Matlab toolbox for optimal quantum control of Bose–Einstein condensates

Hohenester

2014

Computer Physics Communications

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OCTBEC is a Matlab toolbox designed for optimal quantum control, within the framework of optimal control theory (OCT), of Bose-Einstein condensates (BEC). The systems we have in mind are ultracold atoms in confined geometries, where the dynamics takes place in one or two spatial dimensions, and the confinement potential can be controlled by some external parameters. Typical experimental realizations are atom chips, where the currents running through the wires produce magnetic fields that allow to trap and manipulate nearby atoms. The toolbox provides a variety of Matlab classes for simulations based on the Gross-Pitaevskii equation, the multi-configurational Hartree method for bosons, and on generic few-mode models, as well as optimization problems. These classes can be easily combined, which has the advantage that one can adapt the simulation programs flexibly for various applications.

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Adiabatic radio-frequency potentials for the coherent manipulation of matter waves

Cited by 146 publications

References 35 publications

Radiofrequency-dressed-state potentials for neutral atoms

Radiofrequency-dressed-state potentials for neutral atoms

Coherent adiabatic transport of atoms in radio-frequency traps

OCTBEC—A Matlab toolbox for optimal quantum control of Bose–Einstein condensates

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