Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement

Abstract

Strongly interacting one-dimensional fermions form an effective spin chain in the absence of an external lattice potential. We show that the exchange coefficients of such a chain may be locally tuned by properly tailoring the transversal confinement. In particular, in the vicinity of a confinement-induced resonance (CIR) the exchange coefficients may have simultaneously opposite ferromagnetic and antiferromagnetic characters at different locations along the trap axis. Moreover, the local exchanges may be engineered to induce avoided crossings between spin states at the CIR, and hence a ramp across the resonance may be employed to create different spin states and to induce spin dynamics in the chain. We show that such unusual spin chains have already been realized in the experiment of Murmann et al. [Phys. Rev. Lett. 115, 215301 (2015)].

References in corpus (6)

• A one-dimensional liquid of fermions with tunable spin
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
• Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
• Strongly Interacting Quantum Gases in One-Dimensional Traps

Cited by in corpus (1)

• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap