Tunneling of ultracold Bose gases in multiple wells

Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space

“…Figure 22 displays 1D density slices of Fig. 21 along the x axis and, additionally, three functions of the form (11) fitted to this density profile as in Fig. 2 previously.…”

“…Paredes [11] studied the dynamics of an ultracold interacting Bose gas confined in a 1D potential composed of a finite number of wells. His goal was to investigate Josephson tunneling and argued that only a finite number of wells is needed for this purpose.…”

“…Particularly the role of interparticle interactions in determining the tunneling amplitude has only been given few investigations [2,3,6,10] and to the best of our knowledge. Tunneling in multiple wells has also been given consideration [11].…”

Three-Mode Approximation of Symmetrical Triple-Square Wells

“…As a bridge between the simple double well and the multi-well systems, the triple-well system has been being extensively systems, the triple-well system has been being extensively investigated in various branches of physics, for example, adiabatic transport [1][2][3][4] in triple-well solid-state systems (quantum dots [1], ionized donors and superconductors [2]), and quantum phase transition and quantum dynamics in cold atoms with triple-well [5][6][7][8][9]. Compared with the double well, one more well provides a additional energy level to make solid systems realize one kind of electrons coherent population transfer, which amounts to transporting electron coherently from one end of well to the other by various methods, an analogy of Stimulated Raman Adiabatic Passage (STRIRAP) protocol in quantum optics (coherently transfer electron population between two long-lived atomic or molecular energy levels); in the other hand, the effect of next-nearest-neighbor coupling on quantum tunneling allows novel quantum dynamics, nonlinear Josephson oscillation [7], macroscopic quantum self trapping and dipolar quantum gases has been explored in cold atom field [10].…”

“…Compared with the double well, one more well provides a additional energy level to make solid systems realize one kind of electrons coherent population transfer, which amounts to transporting electron coherently from one end of well to the other by various methods, an analogy of Stimulated Raman Adiabatic Passage (STRIRAP) protocol in quantum optics (coherently transfer electron population between two long-lived atomic or molecular energy levels); in the other hand, the effect of next-nearest-neighbor coupling on quantum tunneling allows novel quantum dynamics, nonlinear Josephson oscillation [7], macroscopic quantum self trapping and dipolar quantum gases has been explored in cold atom field [10]. In coherent tunneling adiabatic passage of solid-state system, macroscopic quantum self trapping and even quantum phase transition in cold atom physics, spatial dark state plays an important role and can be determined from the energy spectrum of triple-well.…”