Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems

Abstract

The interaction effects in ultracold Fermi gases with SU($N$) symmetry are studied non-perturbatively in half-filled one-dimensional lattices by employing quantum Monte Carlo simulations.We find that as $N$ increases, weak and strong interacting systems are driven to a crossover region, but from opposite directions as a convergence of itinerancy and Mottness.In the weak interaction region, particles are nearly itinerant,and inter-particle collisions are enhanced by $N$, resulting in the amplification of interaction effects. In contrast, in the strong coupling region, increasing $N$ softens the Mott-insulating background through the enhanced virtual hopping processes.The crossover region exhibits nearly $N$-independent physical quantities, including the relative bandwidth, Fermi distribution, and the spin structure factor.The difference between even-$N$ and odd-$N$ systems is most prominent at small $N$'s with strong interactions, since the odd case allows local real hopping with an energy scale much larger than the virtual one.The above effects can be experimentally tested in ultracold atom experiments with alkaline-earth (-like) fermions such as ${}^{87}$Sr (${}^{173}$Yb).

arXiv comment5+3 pages, 8 figures

References in corpus (50)

• Quantum Monte Carlo with Directed Loops
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Probing many-body states of ultra-cold atoms via noise correlations
• A one-dimensional liquid of fermions with tunable spin
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Short-range quantum magnetism of ultracold fermions in an optical lattice
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Ultracold fermions and the SU(N) Hubbard model
• Realization of SU(2)*SU(6) Fermi System
• Quantum computing with alkaline earth atoms
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Large N expansion for frustrated and doped quantum antiferromagnets
• Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
• Degenerate Fermi Gas of ${}^{87}$Sr
• Spin-orbital quantum liquid on the honeycomb lattice
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Quantum degenerate mixtures of alkali and alkaline-earth-like atoms
• An ytterbium quantum gas microscope with narrow-line laser cooling
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Pairing of Fermions with Arbitrary Spin
• Site-resolved imaging of ytterbium atoms in a two-dimensional optical lattice
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
• Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• SU(N) quantum spin models: A variational wavefunction study
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
• Enlarging and cooling the Néel state in an optical lattice
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Dynamical Symmetry Enlargement Versus Spin-Charge Decoupling in the One-Dimensional SU(4) Hubbard Model
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• The Local Spin Structure of Large Spin Fermions
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction

Cited by in corpus (18)

• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• Variational Quantum Eigensolver for SU($N$) Fermions
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice
• Itinerant ferromagnetism in dilute SU(N) Fermi gases
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
• Beyond universality in repulsive SU(N) Fermi gases
• State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• Persistent Current of SU(N) Fermions
• Partial suppression of magnetism in the square lattice SU(3) Hubbard model
• The Symmetry Principle in Condensed Matter Physics (I)
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients
• Trion formation and ordering in the attractive SU(3) Fermi-Hubbard model
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states