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arXiv:quant-ph/0211134 · Physical Review A

Deterministic optical Fock-state generation

Kenneth R. Brown, Keshav M. Dani, Dan Stamper-Kurn, K. Birgitta Whaley

Published Apr 28, 2003• 59 citations
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Abstract

We present a scheme for the deterministic generation of N-photon Fock states from N three-level atoms in a high-finesse optical cavity. The method applies an external laser pulse that generates an N-photon output state while adiabatically keeping the atom-cavity system within a subspace of optically dark states. We present analytical estimates of the error due to amplitude leakage from these dark states for general N, and compare it with explicit results of numerical simulations for $N<~5.$ The method is shown to provide a robust source of N-photon states under a variety of experimental conditions and is suitable for experimental implementation using a cloud of cold atoms magnetically trapped in a cavity. The resulting N-photon states have potential applications in fundamental studies of nonclassical states and in quantum information processing.

DOI
10.1103/physreva.67.043818

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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.
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 sequence of single photons is emitted on demand from a single three-level atom strongly coupled to a high-finesse optical cavity. The photons are generated by an adiabatically driven stimulated Raman transition between two atomic ground states, with the vacuum field of the cavity stimulating one branch of the transition, and laser pulses deterministically driving the other branch. This process is unitary and therefore intrinsically reversible, which is essential for quantum communication and networking, and the photons should be appropriate for all-optical quantum information processing.
The preparation of Fock states, as a fundamental problem in the research of quantum optics and quantum information, still faces challenges in achieving both unconditional preparation and large photon numbers. Here, we study the deterministic generation of large Fock states through the nonlinear interaction in coupled optical-optomechanical cavities. Under the condition that the mechanical frequency is twice the optical coupling strength, and much larger than the optomechanical coupling strength, there occurs a nonlinear interaction among two optical eigenmodes and the mechanical mode, i.e., a photon is annihilated, accompanied by the creation of another photon together with a phonon, and vice versa. It is analytically proved that, through this interaction, Fock states | n 〉 and | 1 〉 will generate | n + 1 〉 at specific evolution times if the mechanical mode is initially on the ground state. In addition, numerical results show that Fock states | n 〉 and | p 〉 can also generate | n + p 〉 with the fidelities larger than 94% ( 1 < p ≤ n ≤ 40 ). The proposed mechanism achieves deterministic generation of large Fock states, which can be applied to quantum metrology and quantum simulation.
\n We investigate how to deterministically generate symmetric Dicke states of many atomic qubits in a high-Q two-mode optical cavity via dark-state evolution. Our scheme is based on adiabatic evolution, which makes the relevant dynamics insensitive to randomness of the moderate fluctuations of experimental parameters. Assisted by the postselective process, our scheme could be of the fidelity of unity, and robust to imperfect factors such as dissipation, mismatch of cavity parameters, photon loss, and detector inefficiency.\n
The generation of high Fock states of light pulses and their superpositions with provable quantum non-Gaussian features is still very challenging, although the power of conditional methods to herald the approximate state from the available Gaussian states is growing. The atom-light interaction in the high- cavity has been considered a viable alternative to the heralded Fock states of the light pulses from nonlinear optics limited to three-photon Fock states for the last decade. Here, by optimizing the realistic protocol combining it with available optical delay elements, we conclusively predict filtering of Fock states up to ten photons with a high success rate of 20 % using a hierarchy of quantum non-Gaussian criteria. Moreover, the filtering protocol enables the preparation of superposition of Fock states, and we analyze this emerging case up to two photons with provable quantum non-Gaussian coherence and high success rate of 50 % . To demonstrate their quality for applications, we evaluate the robustness of such features, the bunching capability in a linear network, and the sensing capability to estimate the magnitude of unknown force, noise, and phase. These assessments outline the essential conditions and application criteria for realistic optical cavity QED interaction on light pulses to outperform photon detection methods.