Few strongly interacting fermions of different mass driven in the vicinity of a critical point

Abstract

It was recently argued that one-dimensional systems of several strongly interacting fermions of different mass undergo critical transitions between different spatial orderings when the external confinement adiabatically changes its shape. In this work, we explore their dynamical properties when finite-time drivings are considered. By detailed analysis of many-body spectra, we show that the dynamics is typically guided only by the lowest eigenstates and may be well-understood in the language of the generalized Landau-Zener mechanism. In this way, we can capture precisely the dynamical response of the system to the external driving. As consequence, we show that by appropriate tailoring parameters of the driving one can target desired many-body state in a non-infinite time. Our theoretical predictions can be straightforwardly utilized in upcoming state-of-the-art experiments with ultracold atoms.

Authors' version accepted for publication

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Breakdown of thermalization in finite one-dimensional systems
• Quantum Phase Transitions and Bipartite Entanglement
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
• Fast optimal transition between two equilibrium states
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Cooling and thermometry of atomic Fermi gases
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Many body generalization of the Landau Zener problem
• Phase Separation in Mixtures of Repulsive Fermi Gases Driven by Mass Difference
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• A variational approach to repulsively interacting three-fermion systems in a one-dimensional harmonic trap