Quantum state engineering by periodical two-step modulation in an atomic system

Abstract

By periodical two-step modulation, we demonstrate that the dynamics of multilevel system can still evolve even in multiple large detunings regime, and provide the effective Hamiltonian (of interest) for this system. We then illustrate this periodical modulation in quantum state engineering, including achieving direct transition from the ground state to the Rydberg state or the desired superposition of two Rydberg states without satisfying two-photon resonance condition, switching between Rydberg blockade regime and Rydberg antiblockade regime, stimulating distinct atomic transitions by the same laser field, and implementing selective transitions in the same multilevel system. Particularly, it is robust against perturbation of control parameters. Another advantage is that the waveform of laser field has simple square-wave form which is readily implemented in experiments. Thus, it offers us a novel method of quantum state engineering in quantum information processing.

Composite pulses for high fidelity population transfer in three-level systems

“…It is worth mentioning that similar energy-level structures can also be found in trapped ions [59], diamond nitrogen-vacancy centers [60], and superconducting circuits [61][62][63][64][65][66]. In addition, some complicated quantum systems, such as the electrons in semiconductors [67], the spin chain [68,69], neutral atoms interactions [70][71][72][73][74][75], and massive quantum particles in an optical Lieb lattice [76], can be reduced to the three-level physical model as well. Assume that the system is initially in the ground state |g .…”

Detecting a single atom in a cavity using the $χ^{(2)}$ nonlinear medium

“…Based on these models [5][6][7], the interaction of different types of atoms with various light fields [8][9][10][11][12][13] has been extensively studied and many interesting quantum optical phenomena have been probed, such as vacuum Rabi splitting [14], squeezing phenomena of optical fields [15][16][17], single photon blockade [18], and so on. Furthermore, many schemes for quantum information and quantum computation using atom-cavity-coupled systems have been proposed, for examples, realizations of quantum gates [19,20], generations of entangled states [21][22][23][24][25][26][27][28], operations of a quantum phase gate [29], and so on [30][31][32][33][34][35][36].…”

“…In the above schemes [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36], one premise of realizing quantum information and quantum computation using atom-cavity-coupled systems is to trap atoms in a cavity. Therefore, the ability to nondestructively detect the presence of atoms in a cavity is very important for quantum information processing.…”

Effective dynamics and applications in periodic kicks systems

“…Until now, the utility of periodic driving fields in quantum systems is still a popular and intuitive way of gaining insight into some novel physical effects, e.g., dynamical localization [10][11][12][13][14][15][16][17], quantum phase transition [18][19][20][21][22][23], and multiphoton resonances suppression [24]. Moreover, periodic driving fields have also been regarded as a convenient means for quantum coherent control [25][26][27][28][29][30], including special quantum states manipulation [31][32][33][34][35] and typical quantum gates implementation [36][37][38][39][40].…”