Radio-frequency dressing of multiple Feshbach resonances

Kaufman, Adam M.; Anderson, R. A.; Hanna, Thomas M.; Tiesinga, Eite; Julienne, Paul S.; Hall, D. S.

doi:10.1103/physreva.80.050701

Cited by 54 publications

(59 citation statements)

References 30 publications

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“…When one moves closer to the resonance, the inter-component scattering length decreases, providing better squeezing, but inter-component losses increase correspondingly [48], eliminating the coherence faster. Figure 4 shows the evolution of squeezing parameter in time for four different values of a 1 , where best results are achieved for a 12 = 90 a 0 .…”

Section: Large-scale Two-component Atom Interferometrymentioning

confidence: 97%

Quantum dynamics in ultracold atomic physics

Reid

Opanchuk

et al. 2012

Front. Phys.

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We review recent developments in the theory of quantum dynamics in ultracold atomic physics, including exact techniques and methods based on phase-space mappings that are applicable when the complexity becomes exponentially large. Phase-space representations include the truncated Wigner, positive-P and general Gaussian operator representations which can treat both bosons and fermions. These phase-space methods include both traditional approaches using a phase-space of classical dimension, and more recent methods that use a non-classical phase-space of increased dimensionality. Examples used include quantum Einstein-Podolsky-Rosen (EPR) entanglement of a four-mode BEC, time-reversal tests of dephasing in single-mode traps, BEC quantum collisions with up to 10 6 modes and 10 5 interacting particles, quantum interferometry in a multi-mode trap with nonlinear absorption, and the theory of quantum entropy in phase-space. We also treat the approach of variational optimization of the sampling error, giving an elementary example of a nonlinear oscillator.

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Section: Large-scale Two-component Atom Interferometrymentioning

confidence: 97%

Quantum dynamics in ultracold atomic physics

Reid

Opanchuk

et al. 2012

Front. Phys.

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“…no linear coupling, component |1 is pushed to the edge of the cloud. This results from the fact that the repulsive interaction of component |1 is larger than for the other component a 11 [9,23]); here, a xy represents the scattering length between the x, y components. It is important to note that this is not due to demixing dynamics resulting from an instability corresponding to ∆ < 1 [28] but has to be regarded as energetic separation of the two components.…”

Section: Fig 1: (Color Online)mentioning

confidence: 99%

“…In particular, early experimental efforts produced binary mixtures of two different hyperfine states of 23 Na [6] and of 87 Rb [7]. The progressively improving experimental control has enabled detailed observations of phase separation phenomena and associated multi-component dynamics [8][9][10][11][12][13].…”

mentioning

confidence: 99%

Nonlinear dressed states at the miscibility-immiscibility threshold

et al. 2015

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The dynamical evolution of spatial patterns in a complex system can reveal the underlying structure and stability of stationary states. As a model system we employ a two-component rubidium Bose-Einstein condensate at the transition from miscible to immiscible with the additional control of linear interconversion. Excellent agreement is found between the detailed experimental time evolution and the corresponding numerical mean-field computations. Analysing the dynamics of the system, we find clear indications of stationary states that we term nonlinear dressed states. A steady state bifurcation analysis reveals a smooth connection of these states with dark-bright soliton solutions of the integrable two-component Manakov model.Bose-Einstein condensates have been established over the past two decades as a prototypical testbed for exciting developments ranging from nonlinear dynamics and wave phenomena to superfluid features and quantum phase transitions [1][2][3][4][5]. Especially two-component ultracold gases are ideal for the study of the connection of topological solutions of integrable systems and their variants in the presence of different types of perturbations.The properties of multi-component Bose Einstein condensates have been studied in numerous contexts. In particular, early experimental efforts produced binary mixtures of two different hyperfine states of 23 Na [6] and of 87 Rb [7]. The progressively improving experimental control has enabled detailed observations of phase separation phenomena and associated multi-component dynamics [8][9][10][11][12][13]. More recently, the mixing-demixing dynamics has been controlled both in pseudo-spinor (twocomponent) [14] and spinor systems [15] via external coupling fields. As a result, formation of domain walls has been observed. In these systems additional topological excitations such as dark-bright solitons do exist. These have been experimentally realized building on dynamical instabilities present in the regime of two counterflowing superfluids [16]. The ability of phase imprinting offers a controlled path for the generation of individual such topological states [17]. All these observations are adequately captured by the mean-field description. Thus, the well established integrable Manakov model [18], i.e. two nonlinearly interacting classical fields in one dimension at the miscibility-immiscibility threshold, forms a basis for understanding the corresponding characteristics. This model is also examined in other physical systems such as nonlinear polarization optics where multiple dark-bright and dark-dark soliton solutions can be systematically constructed [19]. * nlds@matterwave.de As Ω increases further, the amplitude of the oscillatory dynamics decreases and in the large coupling limit the system is well approximated by stationary dressed states.Here, we study the nonlinear dynamics of a twocomponent Bose gas at the transition from miscible to immiscible, arising through linear interconversion between the two components. In particular, we utilize a Rabi c...

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“…This method is not well suited to typical rf-dressed traps, which use lower magnetic fields than those required to reach the Feshbach resonances of most species. We note that although rf fields may be used to control a Feshbach resonance this typically still requires a bias field or high frequencies [38][39][40], further complicated by the reduced freedom in these parameters when the rf field provides the confinement mechanism. Although the inter-species scattering lengths cannot be changed, the interaction between two species can be adjusted by varying their spatial overlap as above.…”

Section: Species Selectivity With Multiple Rfsmentioning

confidence: 99%

Species-selective confinement of atoms dressed with multiple radiofrequencies

Bentine

Harte

Luksch

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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Abstract.Methods to manipulate the individual constituents of an ultracold quantum gas mixture are essential tools for a number of applications, for example the direct quantum simulation of impurity physics. We investigate a scheme in which species-selective control is achieved using magnetic potentials dressed with multiple radiofrequencies, exploiting the different Landé g F -factors of the constituent atomic species. We describe a mixture dressed with two frequencies, where atoms are confined in harmonic potentials with a controllable degree of overlap between the two atomic species. This is then extended to a four radiofrequency scheme in which a double well potential for one species is overlaid with a single well for the other. The discussion is framed with parameters that are suitable for a 85 Rb and 87 Rb mixture, but is readily generalised to other combinations.arXiv:1701.05819v1 [cond-mat.quant-gas]

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Radio-frequency dressing of multiple Feshbach resonances

Cited by 54 publications

References 30 publications

Quantum dynamics in ultracold atomic physics

Quantum dynamics in ultracold atomic physics

Nonlinear dressed states at the miscibility-immiscibility threshold

Species-selective confinement of atoms dressed with multiple radiofrequencies

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