Fermionic trimers in spin-dependent optical lattices

Orso, Giuliano; Jolicœur, Thierry

doi:10.1016/j.crhy.2010.10.008

Cited by 7 publications

(10 citation statements)

References 49 publications

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“…A mass-imbalanced system of attractively interacting fermions is no longer integrable. The phase diagram for the population and mass-imbalanced case was therefore obtained by using field theory and DMRG calculations [36,37,44,45,77]. In Ref.…”

Section: Mass-imbalanced Two-component Fermi Gases a Overview: Popula...mentioning

confidence: 99%

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Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

et al. 2012

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We present a systematic investigation of attractive binary mixtures in presence of both spin-and massimbalance in one dimensional setups described by the Hubbard model. After discussing typical cold atomic experimental realizations and the relation between microscopic and effective parameters, we study several many-body features of trapped Fermi-Fermi and Bose-Bose mixtures such as density profiles, momentum distributions and correlation functions by means of numerical density-matrix-renormalization-group and Quantum Monte Carlo simulations. In particular, we focus on the stability of Fulde-Ferrell-Larkin-Ovchinnikov, dimer and trimer fluids in inhomogeneous situations, as typically realized in cold gas experiments due to the harmonic confinement. We finally consider possible experimental signatures of these phases both in the presence of a finite polarization and of a finite temperature.

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Section: Mass-imbalanced Two-component Fermi Gases a Overview: Popula...mentioning

confidence: 99%

“…The phase diagram for the population and mass-imbalanced case was therefore obtained by using field theory and DMRG calculations [36,37,44,45,77]. In Ref.…”

Section: A Overview: Population-and Mass-imbalanced 1d Mixturesmentioning

confidence: 99%

Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

et al. 2012

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“…The spectral statistics and the response of 1D few-body systems with and without mass imbalance (nonintegrable and integrable, respectively) have been studied by Colomé-Tatché and Petrov (2011). The one-dimensional three-body problem on a lattice has recently been discussed by Orso et al (2011) and Valiente et al (2010), see also (Keilmann et al 2009).…”

Section: Final Remarks 41 Outlookmentioning

confidence: 99%

The few-atom problem

Petrov¹

2012

Many-Body Physics With Ultracold Gases

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1 Preface Few-body problem plays a very important role in the physics of ultra-cold gases. It describes the structure of molecules and their formation in three-body collisions (three-body recombination), atom-molecule and molecule-molecule collisional properties, structure of trimers and larger clusters, numerous phenomena which go under the name of Efimov physics, and many other problems.In ultracold gases we benefit from a remarkable separation of scales. The atomic de Broglie wavelengths are much larger than the range, R e , of the van der Waals interatomic potential. The ultracold regime is defined by the inequality kR e ≪ 1, where k is the typical atomic momentum. In this regime very few terms in the effective range expansion for the scattering amplitude suffice, and most of the time the interaction is characterized by a single parameter -the s-wave scattering length a. From the two-body viewpoint all short-range potentials are equivalent as long as they have the same scattering length, and, therefore, one can use an idealized zero-range potential (pseudopotential) with the same a. The zero-range model well describes the weakly interacting BEC (Huang 1963) as well as the whole range of the BCS-BEC crossover in fermionic mixtures (Giorgini et al. 2008).There is a class of few-body problems where both long and short lengthscales are important. For example, the knowledge of a is not sufficient for calculating the spectrum of Efimov trimers or the rates of recombination and relaxation to deeply bound molecular states. Such problems can be solved in the universal limit, |a| ≫ R e , by introducing the so-called three-body parameter, which absorbs all the short-range three-body physics in the same manner as the scattering length absorbs the shortrange two-body physics. Universality Hammer 2006, 2007) in this context reflects the amazing fact that different systems with the same scattering length and three-body parameter exhibit the same physics. The possibility to modify a in atomic gases by using Feshbach resonances makes ultracold gases an ideal playground to check the universal theory. The Efimov effect predicted 40 years ago (Efimov 1970) has been first observed in a cold gas of 133 Cs in Innsbruck (Kraemer et al. 2006, see also Ferlaino et al. 2011 for review) and subsequently in other alkali atoms and mixtures (Ottenstein et al. The few-body analysis, apart from being interesting on its own, can be used in many-body problems to integrate out few-body degrees of freedom, thus making the many-body problem more tractable. For example, a two-component fermionic mixture on the BEC side of the BCS-BEC crossover is actually a Bose gas of molecules (or an atom-molecule mixture in the density imbalanced case). If the molecules are sufficiently small (a is much smaller than the interparticle distance), we can forget about their composite nature and treat them as elementary objects as long as the atom-molecule Ú Preface and molecule-molecule scattering parameters are known, the latter being given by the solution of th...

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“…In spite of its simplicity, the few-particle Hubbard model contains a rich physics. In ordered lattices, important physical phenomena include the formation of particle bound states and correlated tunneling [14,15], robust bound states in the continuum [16,17], three-body bound states [18][19][20], resonantly enhanced co-tunneling and particle dissociation [21,22], fractional Bloch oscillations [23], and correlated Klein tunneling [24], to mention a few. In disordered lattices, great attention has been devoted to studying the role of particle interaction (both short-and long-range) on the localization properties of two correlated electrons [25][26][27][28][29][30][31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles

Longhi

2014

New J. Phys.

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We predict that two correlated particles hopping on a one-dimensional Hubbard lattice can show transient self-acceleration and self-induced Bloch oscillations as a result of anti-Newtonian dynamics. Self-propulsion occurs for two particles with opposite effective mass on the lattice and requires long-range particle interaction. A photonic simulator of the two-particle Hubbard model with controllable long-range interaction, where self-propulsion can be observed, is discussed.

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Fermionic trimers in spin-dependent optical lattices

Cited by 7 publications

References 49 publications

Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

The few-atom problem

Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles

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