Controlling migration of a pair of correlated particles by doubly modulated fields

Abstract

The resonant tunneling of correlated bosons in optical lattices is investigated in the presence of doubly modulated AC-fields. The effective hopping coefficients are density-dependent. We can make use of this property to control the migration of a pair of strongly interacting particles in one-or twodimensional uniform lattices via properly manipulating the phases, frequencies and amplitudes of the driven fields. We design a bifurcating quantum motion of the pair in contrast to the coherent quantum walk of the correlated pair in the absence of external fields. OPEN ACCESS RECEIVED

Unidirectional quantum walk of two correlated particles: Manipulating bound-pair and unbound wave-packet components

“…One is associated to unbound states, while the other is governed by boundpair states. A similar behavior was reported for correlated bosons in optical lattices in the presence of doubly modulated AC-fields [29]. The on-site interaction and the lattice shaking displays independent modulating frequencies, that when properly adjusted can offer a bifurcating quantum motion of pair correlated particles propagating in opposite directions.…”

“…Within the studies involving quantum dynamics under the influence of external fields, the unidirectional transport of wavepackets promoted by superposed static and harmonic fields has been greatly explored [24][25][26][27][28][29]. A weakly interacting Bose-Einstein condensate of Cs atoms in a tilted lattice potential was used to demonstrate that harmonic driving can lead to matter-wave transport over macroscopic distances [26].…”

Producing directed migration with correlated atoms in a tilted ac-driven lattice

“…In a previous work we have investigated the directed migration of a pair of strongly correlated atoms in opti- * Corresponding author: yangshijie@tsinghua.org.cn cal lattices driven by doubly modulated ac-fields [39]. In this paper we demonstrate the migration of a correlated particle pair in a one-dimensional (1D) tilted optical lattice driving by a modulated ac-field.…”

Controllable movement and entanglement of atoms on an optical lattice

“…The high tunability of optical lattices also provides an ideal platform for periodically driven systems which lead to various effective Hamiltonians based on the Floquet theory [11]. The dynamical localization (DL) [12,13], photonassisted tunneling [14] as well as coherent destructive tunneling (CDT) [15][16][17][18] were utilized to induce the superfluid to Mott insulator transition [19][20][21], quantum control of selective tunneling [22,23], directed migration of atoms or the creation of quantum entanglement [24,25], etc.…”