Abstract
We use three bosons held in a depth-tilt combined-modulated double-well to study coherent control of quantum transitions between quasi-degenerate stationary-like states (QDSLSs) with the same quasienergy. Within the high-frequency approximation and for multiple-resonance conditions, we analytically obtain the different QDSLSs including the maximal bipartite entangled states, which enable us to manipulate the transitions between QDSLSs without the observable multiphoton absorption and to simulate a two-qubit system with the considered bosons. The analytical results are confirmed numerically and good agreement is shown. The quantum transitions between QDSLSs can be observed and controlled by adjusting the initial and the final atomic distributions in the currently proposed experimental setup, and possess potential applications in qubit control based on the bipartite entangled states and in engineering quantum dynamics for quantum information processing.
Highlights
Quantum transition between stationary states plays a crucial role in much of quantum mechanics, while the coherent control of quantum transition is a master key for its practical applications such as the quantum information processing1, precision measurement2 and so on
We consider three bosons held in a depth-tilt combined-modulated double-well and propose a new formalism to study coherent control of quantum transitions between quasi-degenerate stationary-like states (QDSLSs) without quasienergy difference
When the driving parameters and initial conditions are adjusted appropriately, a superposition state of Floquet states becomes one of the QDSLSs or a SCDT state33–35 that means the transitions between some states are suppressed selectively and the Rabi oscillations between the other QDSLSs occur
Summary
Quantum transition between stationary states plays a crucial role in much of quantum mechanics, while the coherent control of quantum transition is a master key for its practical applications such as the quantum information processing, precision measurement and so on. In order to eliminate the adverse decoherence arising from the spontaneous transitions, we hope to seek the quasi-degenerate bipartite states associated with the same energy and with the different external fields, and to control the transitions between them by adjusting the field parameters. We define SCDT (selective coherent destruction of tunneling) state as a superposition of n Fock states with time-dependent occupied probabilities, where n is less than the dimension of the considered Hilbert space. We consider three bosons held in a depth-tilt combined-modulated double-well and propose a new formalism to study coherent control of quantum transitions between QDSLSs without quasienergy difference. The transitions between the QDSLSs without quasi-level difference are equivalent to the related population transfers, and can be observed and controlled by adjusting the corresponding atomic distributions with the current experimental capability. The results may be used to simulate a two-qubit system with the considered bosons, which is useful in performing the two-qubit logical operations for quantum information processing
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