Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice

Abstract

We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. We show that in an appropriate parameter regime this system can be mapped onto a spin model with all-to-all SU($n$)-symmetric couplings. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling, which can act as a synthetic inhomogeneous magnetic field that competes with the SU($n$) exchange interactions. We investigate the mean-field dynamical phase diagram of the resulting model as a function of $n$ and different initial configurations that are accessible with Raman pulses. Consistent with previous studies for $n=2$, we find that for some initial states the spin model exhibits two distinct dynamical phases that obey simple scaling relations with $n$. Moreover, for $n>2$ we find that dynamical behavior can be highly sensitive to initial intra-spin coherences. Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.

arXiv comment12 pages, 8 figures (21 pages, 10 figures with appendices)

References in corpus (58)

• Non-Abelian Anyons and Topological Quantum Computation
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Quantum spin squeezing
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• Schrieffer-Wolff transformation for quantum many-body systems
• 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
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Synthetic dimensions and spin-orbit coupling with an optical clock transition
• Spin-orbit coupled fermions in an optical lattice clock
• 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
• A Class of $P,T$-Invariant Topological Phases of Interacting Electrons
• Direct observation of coherent inter-orbital spin-exchange dynamics
• Dynamical vanishing of the order parameter in a fermionic condensate
• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• Synthetic spin-orbit coupling in an optical lattice clock
• Nonequilibrium Cooper pairing in the nonadiabatic regime
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Quantum quench phase diagrams of an s-wave BCS-BEC condensate
• Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Non-equilibrium dynamics of Ising models with decoherence: an exact solution
• Spin squeezing with short-range spin-exchange interactions
• Exact Diagonalization of Heisenberg SU(N) models
• Thermodynamics of a deeply degenerate SU($N$)-symmetric Fermi gas
• Dynamics of interacting fermions under spin-orbit coupling in an optical lattice clock
• Quantum optimal control via gradient ascent in function space and the time-bandwidth quantum speed limit
• Chiral spin liquids in triangular lattice SU(N) fermionic Mott insulators with artificial gauge fields
• 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
• Integrable and chaotic dynamics of spins coupled to an optical cavity
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Synthetic gauge fields stabilize a chiral spin liquid phase
• A cavity-QED quantum simulator of dynamical phases of a BCS superconductor
• Selective insulators and anomalous responses in correlated fermions with synthetic extra dimensions
• Degenerate quantum gases of strontium
• Evidence for Bosonization in a three-dimensional gas of SU($N$) fermions
• Exact diagonalization of Heisenberg $SU(N)$ chains in the fully symmetric and antisymmetric representations
• Theory of SU(N) Fermi liquid
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• The Weyl-Wigner-Moyal Formalism for Spin
• Spin qudit tomography and state reconstruction error
• Effective multi-body SU($N$)-symmetric interactions of ultracold fermionic atoms on a 3-D lattice
• Short-time expansion of Heisenberg operators in open collective quantum spin systems

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• State Preparation in the Heisenberg Model through Adiabatic Spiraling
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• Two emitters coupled to a bath with Kerr-like non-linearity: Exponential decay, fractional populations, and Rabi oscillations
• Intertwining of lasing and superradiance under spintronic pumping
• Spectroscopic evidence for engineered hadron formation in repulsive fermionic $\text{SU}(N)$ Hubbard Models
• Bipartite Sachdev-Ye Models with Read-Saleur Symmetries
• Disentangling Pauli blocking of atomic decay from cooperative radiation and atomic motion in a 2D Fermi gas
• Dark spin-cats as biased qubits
• Effective light-induced Hamiltonian for atoms with large nuclear spin
• Fluctuation-induced first-order superfluid transition in unitary $\mathrm{SU}(N)$ Fermi gases