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Related papers: Trion and Dimer Formation of Three-Color Fermions

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Fermionic artificial matter realized with cold atoms grants access to an unprecedented degree of control on sophisticated many-body effects with an enhanced flexibility of the operating conditions. We consider three-component fermions with…

Quantum Gases · Physics 2023-06-14 Wayne J. Chetcuti , Juan Polo , Andreas Osterloh , Paolo Castorina , Luigi Amico

We study fermionic atoms of three different internal quantum states (colors) in an optical lattice, which are interacting through attractive on site interactions, U<0. Using a variational calculation for equal color densities and small…

Strongly Correlated Electrons · Physics 2008-11-26 Akos Rapp , Gergely Zarand , Carsten Honerkamp , Walter Hofstetter

To investigate ultracold fermionic atoms of three internal states (colors) in an optical lattice, subject to strong attractive interaction, we study the attractive three-color Hubbard model in infinite dimensions by using a variational…

Superconductivity · Physics 2008-04-24 Akos Rapp , Walter Hofstetter , Gergely Zarand

In optical lattices attractive ultracold fermions with three hyperfine-spin components (colors) can form three fermionic configurations depending on interactions: unbound fermion, on-site trion and off-site trion, leading to the coexistence…

Quantum Gases · Physics 2025-02-11 Xiang Li , Yu Wang

A three-fermion problem in a three-dimensional lattice with anisotropic hopping is solved by discretizing the Schroedinger equation in momentum space. Interparticle interaction comprises on-site Hubbard repulsion and in-plane…

Superconductivity · Physics 2020-04-22 Pavel Kornilovitch

We pursue three-body bound states in a one-dimensional tight-binding lattice described by the Bose-Hubbard model with strong on-site interaction. Apart from the simple strongly-bound "trimer" state corresponding to all three particles…

Other Condensed Matter · Physics 2010-01-05 Manuel Valiente , David Petrosyan , Alejandro Saenz

Ultracold multicomponent fermions (atoms/molecules) loaded in optical lattices provide an ideal platform for simulating SU($N$) Hubbard models that host unconventional many-body quantum states beyond SU(2). A prime example is the attractive…

Quantum Gases · Physics 2025-12-23 Xiang Li , Yumeng Li , Quan Fu , Yu Wang

We investigate different ground-state phases of attractive spin-imbalanced populations of fermions in 3-dimensional optical lattices. Detailed numerical calculations are performed using Hartree-Fock-Bogoliubov theory to determine the…

Quantum Gases · Physics 2015-05-20 Peter Rosenberg , Simone Chiesa , Shiwei Zhang

We investigate the trion formation and the effective trionic properties in the attractive Hubbard model with three fermionic colors using exact diagonalization. The crossover to the trionic regime with colorless compound fermions upon…

Quantum Gases · Physics 2010-10-18 Guido Klingschat , Carsten Honerkamp

Strongly-interacting ultra-cold atoms in tight-binding optical lattice potentials provide an ideal platform to realize the fundamental Hubbard model. Here, after outlining the elementary single particle solution, we review and expand our…

Quantum Gases · Physics 2017-08-23 David Petrosyan , Manuel Valiente

We investigate the strong-coupling limit of a three-component Fermi mixture in an optical lattice with attractive interactions. In this limit bound states (trions) of the three components are formed. We derive an effective Hamiltonian for…

Quantum Gases · Physics 2012-07-26 S. Backes , I. Titvinidze , A. Privitera , W. Hofstetter

We study the phase diagram of an SU(3)-symmetric mixture of three-component ultracold fermions with attractive interactions in an optical lattice, including the additional effect on the mixture of an effective three-body constraint induced…

We study the zero-energy collision of three fermions, two of which are in the spin-down ($\downarrow$) state and one of which is in the spin-up ($\uparrow$) state. Assuming that the two-body and the three-body interactions have a finite…

Quantum Gases · Physics 2025-03-17 Jiansen Zhang , Zipeng Wang , Shina Tan

We consider the three-body problem in a generic multiband lattice, and analyze the dispersion of the trimer states that are made of two spin-$\uparrow$ fermions and a spin-$\downarrow$ fermion due to an onsite attraction in between. Based…

Quantum Gases · Physics 2022-06-14 M. Iskin

We investigate the three-body properties of two identical "up" fermions and one distinguishable "down" atom interacting in a strongly confined two-dimensional geometry. We compute exactly the atom-dimer scattering properties and the…

Quantum Gases · Physics 2013-04-24 V. Ngampruetikorn , Meera M. Parish , J. Levinsen

Three quantum particles with on-site repulsion and nearest-neighbour attraction on a one-dimensional lattice are considered. The three-body Schroedinger equation is reduced to a set of single-variable integral equations. Energies of…

Strongly Correlated Electrons · Physics 2015-06-16 Pavel E. Kornilovitch

We investigate the formation of trimers in an infinite one-dimensional lattice model of hard-core particles with single-particle hopping $t$ and and nearest-neighbour two-body $U$ and three-body $V$ interactions of relevance to Rydberg…

Quantum Physics · Physics 2021-01-12 Arthur Christianen , John Sous

We study the physics of a three-component Fermi gas in an optical lattice, in the presence of a strong three-body constraint arising due to three-body loss. Using analytical and numerical techniques, we show that an atomic color superfluid…

Quantum Gases · Physics 2011-12-22 A. Privitera , I. Titvinidze , S. -Y. Chang , S. Diehl , A. J. Daley , W. Hofstetter

The properties of the one-dimensional $SU(3)$ population-imbalanced fermions are discussed. The system is assumed to be in the two-body resonance where all two-body scattering lengths diverge, and the only interaction between fermions that…

Quantum Gases · Physics 2024-02-13 O. Hryhorchak , G. Panochko , V. Pastukhov

Fermions and hardcore bosons share the same restriction: no more than one particle can occupy a single site in a lattice system. Specifically, in one dimension, two systems can share the same matrix representation. In this work, we…

Strongly Correlated Electrons · Physics 2025-01-20 C. H. Zhang , Z. Song
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