Abstract

The far-field patterns of atoms diffracted from a classical light field or from a quantum one in a photon-number state are identical. On the other hand, diffraction from a field in a coherent state, which shares many properties with classical light, displays a completely different behavior. We show that in contrast to the diffraction patterns, the interference signal of an atom interferometer with light-pulse beam splitters and mirrors in intense coherent states does approach the limit of classical fields. However, low photon numbers reveal the granular structure of light, leading to a reduced visibility since welcher-Weg (which-way) information is encoded into the field. We discuss this effect for a single photon-number state as well as a superposition of two such states.

Highlights

  • During the last decades, the interaction of atoms with quantized light fields1 has led to landmark experimental achievements, such as the one-atom maser2,3 or the generation of Schrödinger-cat states.4 At the same time, light-pulse atom interferometers5 have become unique instruments for precision measurements

  • We demonstrate that (i) the phase of a coherent state contributes to the phase of a Mach–Zehnder interferometer in the same way as the phase of classical light. (ii) The visibility of the interference signal generated by diffraction from coherent states approaches the limit of diffraction from classical light pulses for high average photon numbers.30 (iii) for diffraction from a Fock state, the visibility vanishes,31 since complete welcher-Weg12,32–35 information can be inferred. (iv) Even for a superposition of two Fock states in every light field, we observe a significant loss of visibility

  • We have determined the interference signal of a Mach– Zehnder atom interferometer taking into account the quantized nature of the light fields interacting with the atoms

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Summary

INTRODUCTION

The interaction of atoms with quantized light fields has led to landmark experimental achievements, such as the one-atom maser or the generation of Schrödinger-cat states. At the same time, light-pulse atom interferometers have become unique instruments for precision measurements. The interaction of atoms with quantized light fields has led to landmark experimental achievements, such as the one-atom maser or the generation of Schrödinger-cat states.. Light-pulse atom interferometers have become unique instruments for precision measurements. We analyze the interference signal of a Mach–Zehnder atom interferometer where we have replaced the classical light creating the beam splitters and mirrors by quantum fields. The most classical state, that is, a coherent state, causes a momentum distribution that is utterly different. We study whether such a behavior transfers to the interference signal observed in atom interferometers generated from light pulses.

Classical vs quantum field
Overview and outline
ATOMIC DIFFRACTION
Scattering operator
Rabi oscillations
MACH–ZEHNDER ATOM INTERFEROMETER
Classical light fields
Quantized light fields
EXAMPLES OF QUANTUM LIGHT
Coherent state in each pulse
Fock state in one pulse
Superposition of two Fock states in each pulse
CONCLUSIONS

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