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High-efficiency Fock state productions via shortcuts to adiabatic passages

Xiaofeng Shi, L. F. Wei

Published Sep 12, 2013• 0 citations
OpenAlex

Abstract

Single photon source is one of the key devices for optical quantum information processings. Differing from the usual method to obtain single-photon radiations by using the spontaneous emissions of \pi-pulse excited atoms, here we propose an approach to produce optical Fock states on demand in the usual atom-cavity system by utilizing the technique of shortcuts to adiabatic passages.It is shown that, by applying auxiliary pulse(s) (besides the usual pumps to excite atom in the cavity), the desirable transitionless quantum drivings for Fock state productions (FSPs) could be implemented deterministically.Compared with the previous method based on stimulated Raman adiabatic passages for the FSPs [see, e.g., A. S. Parkins et. al., Phys. Rev. Lett. 71, 3095 (1993) for theoretical proposal; and A. Kuhn et. al., Phys. Rev. Lett. 89, 067901 (2002) for experimental demonstrations], the present proposal suppress effectively the unwanted but practically unavoidable nonadiabatic transitions in the previous schemes during the drivings. Therefore, the efficiency of FSPs by the present technique should be significantly high, even in the presence of various atomic and cavity dissipations.

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Single photon source is one of the key devices for optical quantum information processings. Differing from the usual method to obtain single-photon radiations by using the spontaneous emissions of \pi-pulse excited atoms, here we propose an approach to produce optical Fock states on demand in the usual atom-cavity system by utilizing the technique of shortcuts to adiabatic passages.It is shown that, by applying auxiliary pulse(s) (besides the usual pumps to excite atom in the cavity), the desirable transitionless quantum drivings for Fock state productions (FSPs) could be implemented deterministically.Compared with the previous method based on stimulated Raman adiabatic passages for the FSPs [see, e.g., A. S. Parkins et. al., Phys. Rev. Lett. 71, 3095 (1993) for theoretical proposal; and A. Kuhn et. al., Phys. Rev. Lett. 89, 067901 (2002) for experimental demonstrations], the present proposal suppress effectively the unwanted but practically unavoidable nonadiabatic transitions in the previous schemes during the drivings. Therefore, the efficiency of FSPs by the present technique should be significantly high, even in the presence of various atomic and cavity dissipations.
A single-photon source is one of the key devices for optical quantum information processing. Differing from the usual stimulated Raman adiabatic passage to obtain single-photon radiation, here we propose an approach to produce an optical Fock state on demand in the usual atom–cavity system by utilizing the technique of transitionless quantum driving. The present proposal effectively suppresses the unwanted but practically unavoidable nonadiabatic transitions in the previous adiabatic schemes. Therefore, the efficiency of Fock state production by the present technique could be significantly high, even in the presence of various atomic and cavity dissipations.
Stimulated Raman interaction of a classically pumped single three-level ΛΛΛ-type atom in a resonator cavity featuring both radiative and unwanted losses is studied. It is shown that in the regime of stimulated adiabatic Raman passage the excited outgoing wave packet of the cavity-assisted electromagnetic field can be prepared in a one-photon Fock state with high efficiency. In this regime, the spatio-temporal shape of the wave packet does not depend on the interaction shape of the pump field, provided that the interaction of the atom with the pump is time-delayed with respect to the interaction of the atom with the cavity-assisted field. Therefore, the scheme can be used to generate a sequence of identical radiation pulses each of almost one-photon Fock state. It is further shown that the spatio-temporal shape of the outgoing wave packet can be manipulated by controlling the time of interaction between the atom and the cavity-assisted electromagnetic field.
We propose an effective scheme of shortcuts to adiabaticity for generating a three-dimensional entanglement of two atoms trapped in a cavity using the transitionless quantum driving (TQD) approach. The key point of this approach is to construct an effective Hamiltonian that drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final state as that of an adiabatic process within a much shorter time. In this paper, the shortcuts to adiabatic passage are constructed by introducing two auxiliary excited levels in each atom and applying extra cavity modes and classical fields to drive the relevant transitions. Thereby, the three-dimensional entanglement is obtained with a faster rate than that in the adiabatic passage. Moreover, the influences of atomic spontaneous emission and photon loss on the fidelity are discussed by numerical simulation. The results show that the speed of entanglement implementation is greatly improved by the use of adiabatic shortcuts and that this entanglement implementation is robust against decoherence. This will be beneficial to the preparation of high-dimensional entanglement in experiment and provides the necessary conditions for the application of high-dimensional entangled states in quantum information processing.
A single rubidium atom trapped within a high-finesse optical cavity is an efficient source of single photons. We theoretically and experimentally study single-photon generation using a vacuum stimulated Raman adiabatic passage. We experimentally achieve photon generation efficiencies of up to 34% and 56% on the D1{D}_{1}D1​ and D2{D}_{2}D2​ line, respectively. Output coupling with 89% results in record-high efficiencies for single photons in one spatiotemporally well-defined propagating mode. We demonstrate that the observed generation efficiencies are constant in a wide range of applied pump laser powers and virtual level detunings. This allows for independent control over the frequency and wave packet envelope of the photons without loss in efficiency. In combination with the long trapping time of the atom in the cavity, our system constitutes a significant advancement toward an on-demand, highly efficient single-photon source for quantum information processing tasks.
In this paper, we propose an efficient scheme to drive three atoms in an optical cavity into a singlet state via adiabatic passage. Appropriate Rabi frequencies of the classical fields are selected to realize the present scheme. The scheme is robust against deviations in the pulse delay and laser intensity through some simple analysis of the adiabatic condition. It is notable that the estimated range of the effective adiabaticity condition coincides with the numerical results. When taking dissipation into account, we show that the process is immune to atomic spontaneous emission as the atomic excited states are never populated in adiabatic evolution. Moreover, under certain conditions, the cavity decay can also be efficiently suppressed.
We propose a mechanism for producing Fock states on demand leaking from a single mode optical cavity interacting with a single atom and a laser pulse. The number of photons can be chosen, as it is determined by the Zeeman substructure of the ground state of the atom and its initial state. The deterministic generation of a free-propagating Fock state of 1≤n≤2F1\leq n\leq2F1≤n≤2F photons is achieved, when a circularly polarized laser pulse completely transfers the atomic population between Zeeman sublevels of the ground hyperfine state FFF through far-detuned Raman scattering thus producing linearly polarized cavity photons. We describe analytically the evolution of optical field taking into account the spontaneous losses and the cavity damping. We demonstrate the possibility of production of Fock-state with different numbers of photons by using different transitions of the same atom. We show also that this technique provides a deterministic source of a train of identical multiphoton Fock-states, if a sequence of left- and right-circularly polarized laser pulses is applied. The resulting states have potential applications in quantum computation and simulation.