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Oxford University Press eBooks

Seeing light in subtle ways

S. Haroche, J. M. Raimond

Published Aug 10, 2006• 0 citations
Publisher

Abstract

This chapter describes two cavity quantum electrodynamics (CQED) studies guided by the spirit of thought experiments. The first one is a direct implementation of the recoiling slit interferometer imagined by Bohr. Section 6.1 discusses a closely related experiment, in which a Ramsey interferometer is used instead of the unrealistic Young's one proposed by Bohr. The second experiment, described in Section 6.2, realizes another dream of early quantum mechanics by achieving a non-destructive detection of a single photon. Section 6.3 shows that the quantum non-demolition (QND) measurement of a single photon by a Rydberg atom corresponds to the operation of a control-not quantum gate in which the photon is the control bit and the atom the target. Section 6.4 discusses the extension of the atom-field manipulations to larger fields, based on the dispersive atom-cavity interaction. Section 6.5 describes an alternative statistical method, also based on the atom-field dispersive interaction. The method relies on the preliminary translation of the field in phase space by controlled complex amplitudes.

DOI
10.1093/acprof:oso/9780198509141.003.0006

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•Jan 1, 2001•90 citations
This chapter describes two cavity quantum electrodynamics (CQED) studies guided by the spirit of thought experiments. The first one is a direct implementation of the recoiling slit interferometer imagined by Bohr. Section 6.1 discusses a closely related experiment, in which a Ramsey interferometer is used instead of the unrealistic Young's one proposed by Bohr. The second experiment, described in Section 6.2, realizes another dream of early quantum mechanics by achieving a non-destructive detection of a single photon. Section 6.3 shows that the quantum non-demolition (QND) measurement of a single photon by a Rydberg atom corresponds to the operation of a control-not quantum gate in which the photon is the control bit and the atom the target. Section 6.4 discusses the extension of the atom-field manipulations to larger fields, based on the dispersive atom-cavity interaction. Section 6.5 describes an alternative statistical method, also based on the atom-field dispersive interaction. The method relies on the preliminary translation of the field in phase space by controlled complex amplitudes.
Bohr played a central role in the interpretation of quantum mechanics.He based many discussions of its strange consequences on thought experiments.He imagined moving slit interferometers, able to record which-path information, he played with photon boxes, storing photons for such long times that they could be weighed.The technological progress provided by quantum physics itself now make it possible to realize some of these thought experiments.We describe in this paper a few experiments based on microwave Cavity Quantum Electrodynamics (CQED) techniques.We trap photons in boxes and weigh them with scales at the atomic level.We are able to count the number of photons in the box without absorbing them in an ideal Quantum Non Demolition measurement of the field intensity.We can record which-path information in an atomic interferometer and directly illustrate complementarity.We can also prepare mesoscopic quantum superpositions reminiscent of the famous Schrödinger cat.We can get insight into the decoherence of these states and into ways to protect them, for instance by quantum feedback strategies.
This chapter discusses the experimental methods developed in the field of cavity quantum electrodynamics (CQED). Section 5.1 presents a short history of CQED. Section 5.2 describes the circular Rydberg atoms and the superconducting cavities that are the two ‘partners’ in these experiments, and analyses the coupling between them. As first examples, Section 5.3 presents two basic experiments unveiling in a dramatic way the quantumness of the atom-field system. Section 5.4 describes entanglement procedures in CQED, showing how the resonant Rabi oscillation is used to entangle one atom and the field, two atoms, or two field modes. The chapter concludes by describing non-resonant atom-cavity experiments that provide an alternative recipe for atom-atom entanglement.
Microwave photons trapped in a superconducting cavity constitute an ideal system to realize some of the thought experiments imagined by the founding fathers of quantum physics. The interaction of these trapped photons with Rydberg atoms crossing the cavity illustrates fundamental aspects of measurement theory. The experiments performed with this "photon box" at the Ecole Normale Supérieure (ENS) belong to the domain of quantum optics called "Cavity Quantum Electrodynamics." We have realized the non-destructive counting of photons, the recording of field quantum jumps, the preparation and reconstruction of "Schrödinger cat" states of radiation and the study of their decoherence, which provides a striking illustration of the transition from the quantum to the classical world. These experiments have also led to the demonstration of basic steps in quantum information processing, including the deterministic entanglement of atoms and the realization of quantum gates using atoms and photons as quantum bits. This lecture starts with an introduction stressing the connection between the ENS photon box and the ion trap experiments of David Wineland, whose accompanying lecture recalls his own contribution to the field of single particle control. I give then a personal account of the early days of Cavity Quantum Electrodynamics before describing the main experiments performed at ENS during the last twenty years and concluding with a discussion comparing our work to other research dealing with the control of single quantum particles.
Microwave photons trapped in a superconducting cavity constitute an ideal system to realize some of the thought experiments imagined by the founding fathers of quantum physics. The interaction of these trapped photons with Rydberg atoms crossing the cavity illustrates fundamental aspects of measurement theory. The experiments performed with this at the Ecole Normale Superieure (ENS) belong to the domain of quantum optics called Quantum Electrodynamics. We have realized the non-destructive counting of photons, the recording of field quantum jumps, the preparation and reconstruction of Schrodinger cat states of radiation and the study of their decoherence, which provides a striking illustration of the transition from the quantum to the classical world. These experiments have also led to the demonstration of basic steps in quantum information processing, including the deterministic entanglement of atoms and the realization of quantum gates using atoms and photons as quantum bits. This lecture starts with an introduction stressing the connection between the ENS photon box and the ion trap experiments of David Wineland, whose accompanying lecture recalls his own contribution to the field of single particle control. I give then a personal account of the early days of Cavity Quantum Electrodynamics before describing the main experiments performed at ENS during the last twenty years and concluding with a discussion comparing our work to other research dealing with the control of single quantum particles.
Circular Rydberg atoms, detected by the very sensitive and state selective field ionization method, can be used to measure and manipulate quantum fields stored in a cavity. The method is based on an interferometric detection of the dispersive energy shifts experienced by these atoms when they interact with a slightly off‐resonant field mode sustained by a cavity which the atoms cross one at a time. These shifts give rise to a translation of the Ramsey fringe pattern observed in the field ionization signal of the atoms. The method consitutes a non‐destructive way of photon counting. In this experiment, non local correlations between the atom and the cavity field are created, which could be used to perform new types of Einstein‐Podolsky‐Rosen experiments. Non classical fields could also be generated, which would display some of the properties discussed by Schrödinger in his famous ‘‘cat paradox.’’ We present the theory of these experiments which until very recently would have been considered as mere ‘‘gedanken’’ ones and we describe the operation of a Rydberg atom interferometer which has already enabled us to detect subphoton fields and to measure vacuum field effects in a cavity.
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.