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Laser Physics Letters

Controlled hole burning for a cavity field with a single atom

Pu Liu, Li-Tuo Shen, Zhen‐Biao Yang

Published May 4, 2018• 2 citations
Publisher

Abstract

Abstract We present a simple method of realizing controlled hole burning for a cavity mode in Fock space by using a single two-level atom. In the scheme, the atom is driven by a classical field and dispersively interacts with the cavity mode. Due to the photon number-dependent atomic transition frequency shift, the atom is excited only for a specific Fock state. As a result, the detection of the atom remaining in the ground state projects the cavity to the state with a desired hole in Fock space. An important feature of the scheme is that multiple holes can be burnt at the same time with a single atom driven by a pulse composed of multiple frequency components.

DOI
10.1088/1612-202x/aab81e

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Chinese Optics Letters•Jun 10, 2007•0 citations
Abstract We present a simple method of realizing controlled hole burning for a cavity mode in Fock space by using a single two-level atom. In the scheme, the atom is driven by a classical field and dispersively interacts with the cavity mode. Due to the photon number-dependent atomic transition frequency shift, the atom is excited only for a specific Fock state. As a result, the detection of the atom remaining in the ground state projects the cavity to the state with a desired hole in Fock space. An important feature of the scheme is that multiple holes can be burnt at the same time with a single atom driven by a pulse composed of multiple frequency components.
We propose a scheme for the generation of various nonclassical states for a cavity field with a driven atom. In the scheme the atom is sent through the cavity and driven by a classical field. The atom interacts dispersively with the cavity field, which induces photon-number dependent Stark shift. Only for a desired Fock state, the atomic transition is tuned in resonance with the classical field. Thus, the measurement of the atomic transition may directly collapse the cavity field onto the desired Fock state. For a two-mode cavity field, pair coherent states and SU(2) coherent states can be generated.
A single two-level atom can be used to prepare an arbitrary photon number state (Fock state) in a high Q cavity . The atom undergoes a controlled succession of interactions with two cavity modes. One of them contains a coherent field. The atom transfers photons one by one from this field to the initially empty second mode. The scheme can be extended to prepare a quantum superposition of the vacuum with a Fock state, a highly non-classical situation. We discuss the feasibility of the experiment with our present Rydberg-atom cavity QED set-up.
We propose experimental schemes for realizing frequency up- and down-conversion in two-mode cavity QED by considering the atom-cavity interaction in the presence of a strong driving classical field. In contrast to the recent paper based on dispersive atom-cavity interaction [Serra et al., Phys. Rev. A 71, 045802 (2005)], our scheme is based on resonant interaction of the cavity modes with a single driven three-level atom, so that the quantum dynamics operates at a high speed, which is important in view of decoherence. It is shown that, with the help of a strong driving classical field, frequency up- and down-conversion operations can be realized by initially preparing the atom in a certain state.
A scheme is reported for generating a multi-atom cluster state in thermal cavities, which is based on the simultaneous interaction of two two-level atoms with a single-mode cavity field driven by a classical field. The photon-number-dependent parts in the evolution operator are cancelled with the assistant of a strong classical field, so the scheme is insensitive to the thermal field. In the present scheme, the detuning between the atoms and the cavity is equal to the atom-cavity coupling strength, thus the operation speed is greatly improved, which is important in view of decoherence.