Quench dynamics of dipolar fermions in a one-dimensional harmonic trap

Abstract

We study a system of few fermions in a one-dimensional harmonic trap, and focus on the case of dipolar majority particles in contact with a single impurity. The impurity is used both for quenching the system, and for tracking the system evolution after the quench. Employing exact diagonalization, we investigate relaxation and thermalization properties. In the absence of dipolar interactions, the system is near integrability, and the dynamics remains oscillatory even on long time scales. On the other hand, repulsive as well as attractive dipolar interactions lead to quick relaxation to the diagonal ensemble average which is significantly different from corresponding thermal averages. A Wigner-shaped level spacing distribution indicates level repulsion and thus chaotic dynamical behavior due to the presence of dipolar interactions.

10 pages, 6 figures

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Cited by in corpus (6)

• One-dimensional mixtures of several ultracold atoms: a review
• Coherent Oscillations in Small Fermi Polaron Systems
• Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap