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Quantum and Semiclassical Optics Journal of the European Optical Society Part B

Double-slit experiments with correlated atom - photon states

Tilman Pfau, Christian Kurtsiefer, J. Mlynek

Published Jun 1, 1996• 8 citations
Publisher

Abstract

We report on an improved version of Young's double-slit experiment for thermal atoms, that allows two-particle correlation experiments to be performed with atom - photon pairs. We propose the use of single-photon scattering for the controlled preparation of highly entangled states of more than two particles. The principle is discussed for an entangled atom - photon pair, which offers the possibility of realizing a virtual double-slit experiment for atoms. Then the scheme is extended in an obvious way to prepare a so-called GHZ state made up of two photons and one atom. In general, highly entangled states can be built up involving the centre-of-mass wavefunction of an atom and the occupation of radiation modes by sequentially scattered photons.

DOI
10.1088/1355-5111/8/3/026

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We report on an improved version of Young's double-slit experiment for thermal atoms, that allows two-particle correlation experiments to be performed with atom - photon pairs. We propose the use of single-photon scattering for the controlled preparation of highly entangled states of more than two particles. The principle is discussed for an entangled atom - photon pair, which offers the possibility of realizing a virtual double-slit experiment for atoms. Then the scheme is extended in an obvious way to prepare a so-called GHZ state made up of two photons and one atom. In general, highly entangled states can be built up involving the centre-of-mass wavefunction of an atom and the occupation of radiation modes by sequentially scattered photons.
In this work, we study the role of quantum entanglement in a double-slit Young interference experiment that uses a pair of photons generated by parametric down-conversion. The quantum state of these photons is calculated for a general case, where they are transmitted through apertures placed in their paths. Considering those apertures as double-slits we show that is possible to treat this system as two qubits. In this way we relate the fourth-order interference patterns with the degree of entanglement of twin photons. 1
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Double-double-slit thought experiment provides profound insight on interference of quantum entangled particles. This paper presents a detailed experimental realisation of quantum double-double-slit thought experiment with momentum entangled photons and theoretical analysis of the experiment. Experiment is configured in such a way that photons are path entangled and each photon can reveal the which-slit path information of the other photon. As a consequence, single photon interference is suppressed. However, two-photon interference pattern appears if locations of detection of photons are correlated without revealing the which-slit path information. It is also shown experimentally and theoretically that two-photon quantum interference disappears when the which-slit path of a photon in the double-double-slit is detected.
We report a two-photon double-slit interference experiment. Two correlated photons, generated by spontaneous parametric downconversion and traveling in different directions, are made to pass through a double slit in such a way that the path of one photon can be identified with that of the other photon. No single-photon interference pattern is observed even if the path is not actually identified, but a spatial interference pattern appears in the joint detection counting rates of the photon pairs. It can easily be shown that these nonlocal phenomena cannot be exhibited by any kind of classical field.
After they have interacted, quantum particles generally behave as a single nonseparable entangled system. The concept of entanglement plays an essential role in quantum physics. We have performed entanglement experiments with Rydberg atoms and microwave photons in a cavity and tested quantum mechanics in situations of increasing complexity. Entanglement resulted either from a resonant exchange of energy between atoms and the cavity field or from dispersive energy shifts affecting atoms and photons when they were not resonant. With two entangled particles (two atoms or one atom and a photon), we have realized new versions of the Einstein-Podolsky-Rosen situation. The detection of one particle projected the other, at a distance, in a correlated state. This process could be viewed as an elementary measurement, one particle being a ``meter'' measuring the other. We have performed a ``quantum nondemolition'' measurement of a single photon, which we detected repeatedly without destroying it. Entanglement is also essential to understand decoherence, the process accounting for the classical appearance of the macroscopic world. A mesoscopic superposition of states (``Schr\"odinger cat'') gets rapidly entangled with its environment, losing its quantum coherence. We have prepared a Schr\"odinger cat made of a few photons and studied the dynamics of its decoherence, in an experiment which constitutes a glimpse at the quantum/classical boundary. We have also investigated entanglement as a resource for the processing of quantum information. By using quantum two-state systems (qubits) instead of classical bits of information, one can perform logical operations exploiting quantum interferences and taking advantage of the properties of entanglement. Manipulating as qubits atoms and photons in a cavity, we have operated a quantum gate and applied it to the generation of a complex three-particle entangled state. We finally discuss the perspectives opened by these experiments for further fundamental studies.
After they have interacted, quantum particles generally behave as a single nonseparable entangled system. The concept of entanglement plays an essential role in quantum physics. We have performed entanglement experiments with Rydberg atoms and microwave photons in a cavity and tested quantum mechanics in situations of increasing complexity. Entanglement resulted either from a resonant exchange of energy between atoms and the cavity field or from dispersive energy shifts affecting atoms and photons when they were not resonant. With two entangled particles (two atoms or one atom and a photon), we have realized new versions of the Einstein-Podolsky-Rosen situation. The detection of one particle projected the other, at a distance, in a correlated state. This process could be viewed as an elementary measurement, one particle being a ‘‘meter’’ measuring the other. We have performed a ‘‘quantum nondemolition’’ measurement of a single photon, which we detected repeatedly without destroying it. Entanglement is also essential to understand decoherence, the process accounting for the classical appearance of the macroscopic world. A mesoscopic superposition of states (‘‘Schrodinger cat’’) gets rapidly entangled with its environment, losing its quantum coherence. We have prepared a Schrodinger cat made of a few photons and studied the dynamics of its decoherence, in an experiment which constitutes a glimpse at the quantum/classical boundary. We have also investigated entanglement as a resource for the processing of quantum information. By using quantum two-state systems (qubits) instead of classical bits of information, one can perform logical operations exploiting quantum interferences and taking advantage of the properties of entanglement. Manipulating as qubits atoms and photons in a cavity, we have operated a quantum gate and applied it to the generation of a complex three-particle entangled state. We finally discuss the perspectives opened by these experiments for further fundamental studies.