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Physical Review A

Simulation of quantum-state endoscopy

P. J. Bardroff, E. Mayr, W. P. Schleich, P. Domokos, M. Brune, J. M. Raimond, S. Haroche

Published Apr 1, 1996• 42 citations
Publisher

Abstract

We demonstrate the experimental feasibility of quantum-state endoscopy [P. J. Bardroff, E. Mayr, and W. P. Schleich, Phys. Rev. A 51, 4963 (1995)] to measure the complete quantum state of a single mode of the electromagnetic field in a cavity. We perform numerical simulations of an experiment in progress. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physreva.53.2736

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We demonstrate the experimental feasibility of quantum-state endoscopy [P. J. Bardroff, E. Mayr, and W. P. Schleich, Phys. Rev. A 51, 4963 (1995)] to measure the complete quantum state of a single mode of the electromagnetic field in a cavity. We perform numerical simulations of an experiment in progress. \textcopyright{} 1996 The American Physical Society.
Summary form only given, as follows. The subject of state reconstruction has recently become a major field of study in quantum optics [see Special issue on Quantum state preparation and measurement, J. Mod Opt., 11/12, (1997), edited by W.P. Schleich and M.G. Raymer]. The quasiprobability functions and density matrices have been measured experimentally for single-mode running fields using the homodyne scheme. However, most of the earlier reconstruction schemes are for single-mode fields. In this presentation the author is interested in reconstruction of a two-mode entangled cavity field.
We investigate the prospects of atomic interference using samples of Bose condensed atoms. First we show the ability of two independent Bose condensates to create an interference pattern. This holds even if both condensates are described by Fock states. Thus, the existence of an experimental signature for a broken gauge symmetry, seen in a single run of the experiment, is not necessarily reflected by a broken symmetry on the level of the quantum mechanical state vector. Based on these results, we simulate numerically a recent experiment with two independent Bose condensates [K. B. Davis et al., Phys. Rev. Lett. 75, 3969 (1995)]. The existence of interference fringes is predicted based on the nonlinear Schr\"odinger equation. Finally we study theoretically the influence of finite temperatures on the visibility of the interference in a double pinhole configuration. \textcopyright{} 1996 The American Physical Society.
We present an alternative and experimentally feasible scheme to realize the teleportation of a cavity mode in a coherent superposition of zero-, one-, and two-photon field states. Particular nonmaximally entangled states of two-level atoms and particular cavity modes are employed and their preparation is discussed. A Ramsey-type arrangement, together with pointer atoms, is required to prepare the atomic entangled states as well as to read out the cavity system. Basically, the pointer atoms induce the state-vector collapse of the field in the cavity system and indicate, through their detection, the measurement result. \textcopyright{} 1996 The American Physical Society.
We present a new indirect method to measure the quantum state of a single mode of the electromagnetic field in a cavity. Our proposal combines the idea of (endoscopic) probing and that of tomography in the sense that the signal field is coupled via a quantum-non-demolition Hamiltonian to a meter field on which then quantum state tomography is performed using balanced homodyne detection. This technique provides full information about the signal state. We also discuss the influence of the measurement of the meter on the signal field.