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 interactions on the dynamics is scrutinized through the exact diagonalization. In particular, we investigate the occupation dynamics of such systems being initially prepared in experimentally accessible states in which opposite components occupy opposite wells. Moreover, to capture the role of interactions, we also inspect situations in which initial states contain an opposite-spin pair localized in a chosen well. Finally, to assess the amount of quantum correlations produced during the evolution, we analyze the behavior of the von Neumann entanglement entropy between components.
Highlights
We aim to investigate the dynamical behavior of the two-component mass-imbalanced few-fermion system confined in a one-dimensional double-well trapping potential
We have thoroughly investigated the unitary dynamics of mass-imbalanced two-flavors fermions in the double-well potential with a total number of particles up to six
Starting with a minimal system of just two particles we study the dynamics of other many-particle systems to understand the role of the initial state, interactions, mass-imbalance, and the quantum statistics
Summary
The monumental progress in the field of laser cooling and trapping of atomic gases has brought unprecedented prospects in the area of quantum engineering. Together with unprecedented tunability of mutual interactions and effective dimensionality, it provides a route to address many theoretical questions on the physical properties of the quantum mesoscopic systems which have so far not been completely understood [4, 5]. One of them is related to the properties of such few-body systems when they are confined in a double-well potential [6]. Importance of this direction is straightforwardly motivated by an intriguing analogy to the celebrated Josephson effect of coherent tunneling through a classically forbidden region [7, 8, 9]. Originally the effect was understood only as an effective and simplified description of the motion of Cooper pairs in superconducting junctions, it rapidly entered the canon of fundamental phenomena triggered by quantum description
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