Broad Feshbach Resonance in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Li</mml:mi><mml:mprescripts /><mml:none /><mml:mn>6</mml:mn></mml:mmultiscripts><mml:mtext mathvariant="normal">−</mml:mtext><mml:mmultiscripts><mml:mi mathvariant="bold">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>40</mml:mn></mml:mmultiscripts></mml:math>Mixture

Tiecke, Tobias; Goosen, Maikel; Ludewig, Anna-Dorothea; Gensemer, S. D.; Kraft, Stephan; Kokkelmans, Sjjmf Servaas; Walraven, J.T.M.

doi:10.1103/physrevlett.104.053202

Cited by 92 publications

(106 citation statements)

References 38 publications

(25 reference statements)

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“…(a) Various quantum-degenerate mixtures have been realized by multiple groups [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. (b) Recently, the localization of minority atoms by an optical lattice was demonstrated with an imbalanced Bose-Bose mixture of 87 Rb and 41 K atoms [95].…”

Section: Discussionmentioning

confidence: 99%

“…The OC will manifest itself, e.g., in the RF-spectroscopy experiments, which are commonly used to probe mixtures of cold atoms. Suitable mixtures with a large mass ratio are 40 An alternative experimental route to accessing the nonequilibrium response of the Fermi gas to an impurity that is introduced suddenly is to create a local scattering potential by a narrow laser beam. This has been demonstrated in recent experiments [97,98].…”

Section: Discussionmentioning

confidence: 99%

“…The basic ingredients required for the experimental implementation of our proposal are the following: (a) a quantum-degenerate Bose-Fermi [29][30][31][32][33][34][35][36] or Fermi-Fermi [37][38][39][40][41][42][43] mixture, (b) the ability to trap one type of atom by a strong optical-lattice potential, (c) the control of the interaction strength between the impurity and host atom, which is achieved by changing the impurity hyperfine state, and (d) the ability to achieve temperatures that are low enough to observe the OC.…”

Section: Discussionmentioning

confidence: 99%

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Time-Dependent Impurity in Ultracold Fermions: Orthogonality Catastrophe and Beyond

et al. 2012

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The recent experimental realization of strongly imbalanced mixtures of ultracold atoms opens new possibilities for studying impurity dynamics in a controlled setting. In this paper, we discuss how the techniques of atomic physics can be used to explore new regimes and manifestations of Anderson's orthogonality catastrophe (OC), which could not be accessed in solid-state systems. Specifically, we consider a system of impurity atoms, localized by a strong optical-lattice potential, immersed in a sea of itinerant Fermi atoms. We point out that the Ramsey-interference-type experiments with the impurity atoms allow one to study the OC in the time domain, while radio-frequency (RF) spectroscopy probes the OC in the frequency domain. The OC in such systems is universal, not only in the long-time limit, but also for all times and is determined fully by the impurity-scattering length and the Fermi wave vector of the itinerant fermions. We calculate the universal Ramsey response and RF-absorption spectra. In addition to the standard power-law contributions, which correspond to the excitation of multiple particle-hole pairs near the Fermi surface, we identify a novel, important contribution to the OC that comes from exciting one extra particle from the bottom of the itinerant band. This contribution gives rise to a nonanalytic feature in the RF-absorption spectra, which shows a nontrivial dependence on the scattering length, and evolves into a true power-law singularity with the universal exponent 1=4 at the unitarity. We extend our discussion to spin-echo-type experiments, and show that they probe more complicated nonequilibirum dynamics of the Fermi gas in processes in which an impurity switches between states with different interaction strength several times; such processes play an important role in the Kondo problem, but remained out of reach in the solid-state systems. We show that, alternatively, the OC can be seen in the energy-counting statistics of the Fermi gas following a sudden quench of the impurity state. The energy distribution function, which can be measured in time-of-flight experiments, exhibits characteristic power-law singularities at low energies. Finally, systems in which the itinerant fermions have two or more hyperfine states provide an even richer playground for studying nonequilibrium impurity physics, allowing one to explore the nonequilibrium OC and even to simulate quantum transport through nanostructures. This provides a previously missing connection between cold atomic systems and mesoscopic quantum transport.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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Time-Dependent Impurity in Ultracold Fermions: Orthogonality Catastrophe and Beyond

et al. 2012

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“…The fact that the ABM is computationally light provides the possibility to map out the available Feshbach resonance positions and widths for a certain system, as has been shown in Ref. [9]. Throughout the paper we will use the 6 Li-40 K mixture as a model system to illustrate all introduced aspects.…”

Section: Introductionmentioning

confidence: 99%

“…[8], and extended in Ref. [9], was successfully applied to the Fermi-Fermi mixture of 6 Li and 40 K. In Ref. [8] the observed loss features were assigned to 13 Feshbach resonances with high accuracy, and the obtained parameters served as an input to a full coupled-channel analysis.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic-bound-state model for Feshbach resonances

et al. 2010

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We present an asymptotic-bound-state model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The model is based on analytic properties of the two-body Hamiltonian and on asymptotic properties of uncoupled bound states in the interaction potentials. In its most simple version, the only necessary parameters are the least bound state energies and actual potentials are not used. The complexity of the model can be stepwise increased by introducing threshold effects, multiple vibrational levels, and additional potential parameters. The model is extensively tested on the 6 Li-40 K system and additional calculations on the 40 K-87 Rb system are presented.

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Liberating Efimov Physics from Three Dimensions

Nishida

Tan

2011

Few-Body Syst

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When two particles attract via a resonant short-range interaction, three particles always form an infinite tower of bound states characterized by a discrete scaling symmetry. It has been considered that this Efimov effect exists only in three dimensions. Here we review how the Efimov physics can be liberated from three dimensions by considering two-body and three-body interactions in mixed dimensions and four-body interaction in one dimension. In such new systems, intriguing phenomena appear, such as confinement-induced Efimov effect, Bose-Fermi crossover in Efimov spectrum, and formation of interlayer Efimov trimers. Some of them are observable in ultracold atom experiments and we believe that this study significantly broadens our horizons of universal Efimov physics.

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Broad Feshbach Resonance in theLi6−K40Mixture

Cited by 92 publications

References 38 publications

Time-Dependent Impurity in Ultracold Fermions: Orthogonality Catastrophe and Beyond

Time-Dependent Impurity in Ultracold Fermions: Orthogonality Catastrophe and Beyond

Asymptotic-bound-state model for Feshbach resonances

Liberating Efimov Physics from Three Dimensions

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