Collisional Stability of a Three-Component Degenerate Fermi Gas

Ottenstein, T. B.; Lompe, Thomas; Kohnen, M.; Wenz, A. N.; Jochim, Selim

doi:10.1103/physrevlett.101.203202

Cited by 318 publications

(515 citation statements)

References 32 publications

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“…In the limits of high and low field strengths there are good asymptotic quantum numbers (Pethick & Smith 2008). Systems with two components corresponding to population of the lowest two hyperfine states (of two different given projections m F ) have been extensively studied (Ketterle & Zwierlein 2008), and recently also three-component systems (three different m F values) have been realized in experiments (Ottenstein et al 2008, Nakajima et al 2010). The hyperfine energy splitting for different m F due to the magnetic field is of order 10 −6 eV for the alkali atoms typically used in experiment (Pethick & Smith 2008).…”

Section: Two-component Atomic Fermi Gasesmentioning

confidence: 99%

“…Within the last five years a number of papers reported on experimental results obtained for cold atoms in traps and with Feshbach resonance techniques (Kraemer et al 2006, Ottenstein et al 2008, Zaccanti et al 2009, Gross et al 2009, Barontini et al 2009). The systems always consist of many particles and the Efimov states are only indirectly observed as enhanced (or depleted) probabilities for three-body decay of the trapped particles.…”

Section: Measurable Consequences In Physics Systemsmentioning

confidence: 99%

“…The three interactions between pairs in the same and in different hyperfine states should then be similar to an isospin 1 system. Also a threecomponent fermionic atomic system has three possible s-wave interactions (Ottenstein et al 2008) and could resemble an isospin 1 system. However, it must be kept in mind that generally the scattering lengths are different between different hyperfine components.…”

Section: Mapping Atomic and Nuclear Degrees Of Freedommentioning

confidence: 99%

See 2 more Smart Citations

Comparing and contrasting nuclei and cold atomic gases

Zinner¹,

Jensen²

2013

J. Phys. G: Nucl. Part. Phys.

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Abstract. The experimental revolution in ultracold atomic gas physics over the past decades have brought tremendous amounts of new insight to the world of degenerate quantum systems. Here we compare and constrast the developments of cold atomic gases with the physics of nuclei since many concepts, techniques, and nomenclatures are common to both fields. However, nuclei are finite systems with interactions that are typically much more complicated than those of ultracold atomic gases. The simularities and differences must therefore be carefully addressed for a meaningful comparison and to facilitate fruitful crossdisciplinary activity. We first consider condensates of bosonic and paired systems of fermionic particles with the mean-field description but take great care to point out potential problems in the limit of small particle numbers. Along the way we review some of the basic results of BEC and BCS theory, as well as the BCS-BEC crossover and the Fermi gas in the unitarity limit, all within the context of ultracold atoms. Subsequently, we consider the specific example of an atomic Fermi gas from a nuclear physics perspective, comparing degrees of freedom, interactions, and relevant length and energy scales of cold atoms and nuclei. Next we address some attempts in nuclear physics to transfer the concepts of condensates in nuclei that can in principle be built from bosonic alpha-particle constituents. We also consider Efimov physics, a prime example of nuclear physics transfered to cold atoms, and consider which systems are more likely to show interesting bound state spectra. Finally, we address some recent studies of the BCS-BEC crossover in light nuclei and compare them to the concepts used in ultracold atomic gases. While many-body concepts such as BEC or BCS states are applicable in both subfields, we find that the interactions and finite particle numbers in nuclei can obscure the clear meaning they have in cold atoms. On the other hand, universal results from atomic physics should have impact in certain limits of the nuclear domain. In particular, with advances in the trapping of few-body atomic systems we expect a more direct exchange of ideas and results.

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Section: Two-component Atomic Fermi Gasesmentioning

confidence: 99%

Section: Measurable Consequences In Physics Systemsmentioning

confidence: 99%

Section: Mapping Atomic and Nuclear Degrees Of Freedommentioning

confidence: 99%

See 1 more Smart Citation

Comparing and contrasting nuclei and cold atomic gases

Zinner¹,

Jensen²

2013

J. Phys. G: Nucl. Part. Phys.

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“…A peculiar property of spin- 3 2 fermions is the fact that even in presence of the quadratic Zeeman field, the high Sp (4) symmetry is lowered to SU (2) × SU (2) and thus remains quite high. 16 In this work, we study the magnetic phase diagram of spin- 3 2 fermions at quarter filling, in the limit of a strong on-site repulsion, on an anisotropic square lattice with hopping amplitudes in two spatial directions differing by the factor λ ∈ [0, 1], as depicted in Fig. 1.…”

Section: Introductionmentioning

confidence: 99%

“…II we present the derivation of the low-energy effective field theory for a system spin- 3 2 fermions at quarter filling in the regime of a Mott insulator (in other words, in the regime of the Sp(4) Heisenberg model). In Sect.…”

Section: Introductionmentioning

confidence: 99%

Magnetic phases of spin-32fermions on a spatially anisotropic square lattice

Kolezhuk¹,

Vekua²

2011

Phys. Rev. B

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We study the magnetic phase diagram of spin-3 2 fermions in a spatially anisotropic square optical lattice at quarter filling (corresponding to one particle per lattice site). In the limit of the large onsite repulsion the system can be mapped to the so-called Sp(N ) Heisenberg spin model with N = 4. We analyze the Sp(N ) spin model with the help of the large-N field-theoretical approach and show that the effective theory corresponds to the Sp(N ) extension of the CP N−1 model, with the Lorentz invariance generically broken. We obtain the renormalization flow of the model couplings and show that although the Sp(N ) terms are seemingly irrelevant, their presence leads to a renormalization of the CP N−1 part of the action, driving a phase transition. We further consider the influence of the external magnetic field (the quadratic Zeeman effect), and present the qualitative analysis of the ground state phase diagram.

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Near Threshold Effects on Recombination and Vibrational Relaxation in Efimov Systems

2016

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We investigate the energy dependence of inelastic processes in systems which possess Efimov states. We consider the three-body recombination rate K3 where three free atoms interact to produce an atom-dimer pair, and the relaxation rate K rel where an atom quenches a weakly bound state of a dimer near an Efimov resonance to more deeply bound levels. Using a model capturing the key features of the Efimov problem, we identify new energy regimes for K3, namely the NTR (Near Threshold Resonance) regime behavior E −2 for negative scattering lengths and the NTS (Near Threshold Suppression) regime behavior E 2 for positive scattering lengths. We also confirm a previously found oscillatory behavior of K3 at higher energy E. Finally, we find that K rel behaves as E −1 in the NTR regime.

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Collisional Stability of a Three-Component Degenerate Fermi Gas

Cited by 318 publications

References 32 publications

Comparing and contrasting nuclei and cold atomic gases

Comparing and contrasting nuclei and cold atomic gases

Magnetic phases of spin-32fermions on a spatially anisotropic square lattice

Near Threshold Effects on Recombination and Vibrational Relaxation in Efimov Systems

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