Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices

Abstract

We have systematically studied the thermodynamic properties of a two-dimensional half-filled SU(2N) Hubbard model on a square lattice by using the determinant quantum Monte Carlo method. The entropy-temperature relation, the isoentropy curve, and the probability distribution of the onsite occupation number are calculated in both SU(4) and SU(6) cases, which exhibit prominent features of the Pomeranchuk effect. We analyze these thermodynamic behaviors based on charge and spin energy scales. In the charge channel, the interaction strength that marks the crossover from the weak to strong interaction regimes increases with the number of fermion components. In the spin channel, increasing the number of fermion components enhances quantum spin fluctuations, which is shown in the simulations of uniform spin susceptibilities and antiferromagnetic structure factors.

arXiv comment10 pages, 6 figures

References in corpus (45)

• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
• A one-dimensional liquid of fermions with tunable spin
• 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
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Large N expansion for frustrated and doped quantum antiferromagnets
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Degenerate Fermi Gas of ${}^{87}$Sr
• Interaction-induced adiabatic cooling and antiferromagnetism of cold fermions in optical lattices
• Spin-orbital quantum liquid on the honeycomb lattice
• 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
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• Fermions in 2D Optical Lattices: Temperature and Entropy Scales for Observing Antiferromagnetism and Superfluidity
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Superfluidity and magnetism in multicomponent ultracold fermions
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Signatures of Spin and Charge Energy Scales in the Local Moment and Specific Heat of the Two-Dimensional Hubbard Model
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• BCS pairing in Fermi systems with several flavors
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism
• Interaction-Induced Adiabatic Cooling for Antiferromagnetism in Optical Lattices
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• SU(N) quantum spin models: A variational wavefunction study
• High temperature thermodynamics of fermionic alkaline earth atoms in optical lattices
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice
• Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Liquids in multi-orbital SU(N) Magnets with Ultracold Alkaline Earth Atoms
• Exotic magnetic orders for high spin ultracold fermions
• Engineering spin waves in a high-spin ultracold Fermi gas
• Mott made easy
• Universality class of quantum criticality in the two-dimensional Hubbard model at intermediate temperatures ($t^2/U\ll T\ll t$)

Cited by in corpus (29)

• Geometry Dependence of the Sign Problem
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Exact diagonalization of Heisenberg $SU(N)$ chains in the fully symmetric and antisymmetric representations
• A beginner's guide to non-abelian iPEPS for correlated fermions
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Variational Monte-Carlo investigation of SU($N$) Heisenberg chains
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Exact diagonalization of $\mathrm{SU}(N)$ Heisenberg and AKLT chains using the full $\mathrm{SU}(N)$ symmetry
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• Trion states and quantum criticality of attractive SU(3) Dirac fermions
• Spin-incoherent Luttinger liquid of one-dimensional SU($\kappa$) fermions
• Spin-incoherent Luttinger liquid of one-dimensional spin-1 Tonks-Girardeau Bose gas: Spin-dependent properties
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Critical exponents of nonlinear sigma model on Grassmann manifold $U(N)/U(m)U(N-m)$ by $1/N$ expansion
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Quantum Monte Carlo simulations of thermodynamic properties of attractive SU($3$) Dirac fermions
• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Trion ordering in the attractive three-color Hubbard model on a $\pi$-flux square lattice