Dynamical properties of a few mass-imbalanced ultra-cold fermions confined in a double-well potential

Abstract

A comprehensive analysis of the exact unitary dynamics of two-component mass-imbalanced fermions in a one-dimensional double-well potential is accomplished by considering the total number of particles maximum up to six. The simultaneous effect of mass imbalance between the flavors and their mutual interaction on the particle dynamics is scrutinized through exact diagonalization. In particular, we investigate the occupation dynamics of such a system with two experimentally accessible initial states: spatially separated two-component systems and maximally one atom paired up scenario. Besides, the occupation dynamics we have also examined the evolution of the single-particle von Neumann entanglement entropy to assess the correlation of a fermionic impurity atom within the fermionic bath of the other component.

Dynamical resistivity of a few interacting fermions to the time-dependent potential barrier

“…When the barrier approaches the center of the trap (x 0 ≈ 0), a characteristic quasi-degeneracy of the spectrum is formed. This is a natural consequence of a quasi-degeneracy of the singleparticle spectrum in a double-well potential [22,40]. It is important to note that along with increasing interactions, the energy gap at x 0 = 0 between the ground-state and excited manybody states becomes smaller.…”

Analyzing the Time Evolution of a Particle by Decomposes the Initial State Confinement in 1D Well into the Lowest Eigenstates Energy

“…In the last ten years, models of spatially confined quantum particles by external potentials had great interest from various fields of physics and chemistry [8]. All practical applications which include atoms and molecules confined within cavities, charges in semiconductor wells and neutral, Excitons in quantum dots and Synthetic atoms, etc., are used as important models for the impurities or luminescence in solids, vibrational spectra of point defects, magnetic properties in semiconductor nanostructures [9,10], thermodynamic of nonideal gases, ionized plasmas, etc. [11].…”