Transparent control of an exactly solvable two-level system via combined modulations

Abstract

Analytically exact solutions of a driven two-level system are extremely important to many areas of physics (E. Barnes and S. Das Sarma, Phys. Rev. Lett. 109, 060401, 2012), we here present a simple method of synchronous and asynchronous combined-modulations to generate a lot of new exact solutions, and apply the simplest several solutions to perform the coherent control of quantum states. The physical interesting phenomena such as the arbitrary population transfers between the different and/or asymptotic stationary states and the controlled coherent population oscillation are achieved analytically and numerically. Simplicities of the exact solutions and the modulated fields render the control strategies more transparent and the qubit manipulation more convenient in experiments.

Second-order tunneling of two interacting bosons in a driven triple well

“…The results agree with the above analysis on figure 5(a). The plots similar to figures 5(a) and (b) can also be given for the parameter regions ω ∈ [10, 80] and U 0 ∈ [10,200], respectively, which are not shown here. It is worth noting that in the plot similar to figure 5(a), lower frequency ω is associated with a smaller |u m | value.…”

“…Research attempting to manipulate quantum states has been underway for a long time [3,4]. The timeperiodic driving field is a powerful tool to control the tunneling dynamics and can lead to important phenomena, such as dynamic localization [5,6], coherent destruction of tunneling (CDT) [7][8][9][10] and photon-assisted tunneling [11][12][13]. In recent years, the effects of interparticle interaction have attracted much attention.…”

Coherent destruction of tunneling and dark Floquet state

“…Its understanding is related to the dynamical localization [5], which occurs at isolated degenerate points of the quasi-energies [4,6]. The CDT has thus far generated significant interest, and has been theoretically extended into various forms [7][8][9][10][11][12][13][14][15][16][17][18][19][20]. It has also been observed experimentally in many physical systems, including modulated optical coupler [21], driven double-well potentials for single-particle tunneling [22] and a single electron spin in diamond [23].…”

Pseudo-parity–time symmetry in periodically high-frequency driven systems: perturbative analysis

“…Most previous studies focused on the unmodulated  -symmetric systems [3][4][5][6][7][8][9][10][11][12][13][14][15][16]. However, due to the fact that periodic modulation is an important and effective tool for controlling tunneling dynamics [17][18][19][20][21][22][23][24][25][26][27][28][29][30], recently increasing attention has been paid to the  symmetry of the periodically modulated systems, such as simply  -symmetric dimeric systems [31][32][33][34],  -symmetric kicked rotor models [35], and  -symmetric tight-binding lattices [36].…”