Quantum collapse-revival effect in a supersymmetric Jaynes–Cummings model and its possible application in supersymmetric qubits

Abstract

In the photon-atom interaction, one of the most interesting phenomena can be collapse-revival effect in population inversion of atomic levels. Since a single-photon-transition Jaynes–Cummings model can be generalized to a multiphoton-transition Jaynes–Cummings model, of which the Hamiltonian can exhibit a supersymmetric Lie algebra structure, in this paper, quantum collapse and revival in atomic population inversion, which is a collaborative effect of a variety of quantum Rabi oscillations with various quantum Rabi frequencies, is studied for the supersymmetric multiphoton-transition Jaynes–Cummings model. In the literature, it has been pointed out that quantum collapse and revival might find an application in qubit design. We expect that a supersymmetric two-level system might serve as such a kind of qubits. Compared with ordinary two-level qubits, more information could be stored in the basis vectors of supersymmetric qubits, and this could increase the degrees of freedom of tensor product (multi-component extension) of basis vectors of this multiphoton-atom interacting system. For this reason, some characteristics of the collapse-revival effect driven by ordinary coherent states and Yurke–Stoler coherent states will be addressed in this paper. The influence of various characteristic parameters of this supersymmetric Jaynes–Cummings model and the quantized optical fields on the quantum collapse and revival in the population inversion will be indicated in some numerical illustrative examples.

The role of thermal and squeezed photons in the entanglement dynamics of the double Jaynes–Cummings model

“…The Jaynes-Cummings model [28] is a simple and celebrated scheme, which describes the interaction between an atomic system and a field mode. This model plays a fundamental role in quantum optics and can be realized in practice with Rydberg atoms in high-Q superconducting cavities and trapped ions [29][30][31][32][33][34][35]. A generalization of the Jaynes-Cummings model known as double Jaynes-Cummings model (DJCM) was done in 2.1.…”

Multi-mode Jaynes–Cummings model results for the collapse and the revival of the quantum Rabi oscillations in a lossy resonant cavity

“…Collapse and revival (CR) of the quantum Rabi oscillations of a two-level system (atom/molecule) is an interesting area of research in the field of cavity quantum electrodynamics [1][2][3][4][5][6][7][8][9][10][11]. Eberly et al first predicted the phenomenon of the CR within the single-mode Jaynes-Cummings (J-C) model [12] for the quantum Rabi oscillations of a two-level system interacting with coherent photons in a cavity [1].…”

“…The CR was subsequently observed by investigating the dynamics of the interaction of a single Rydberg atom with the resonant mode of an electromagnetic field in a superconducting cavity [5]. The CR may find applications in supersymmetric qubits [11]. While the existing theories [1-4, 10, 11] for the CR usually require a large average number of photons (n 1) in the coherent field, a seminal experiment [7] on the same was carried out by Brune et al for a low average number of photons (n 1) in the coherent field.…”

Dynamics of a multipartite hybrid quantum system with beamsplitter, dipole-dipole and Ising interactions

“…An allied topic is entanglement transfer between subsystems, as for instance, between the qubit-qubit subsystem and the oscillator-oscillator subsystem. Since its first appearance, ESD and entanglement transfer has been studied extensively in the double JC model and other related models in cavity QED [60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77]. These phenomena are very sensitive to the precise nature of the initial atomic entanglement.…”