# Diffraction of entangled particles by light gratings

## Abstract

We analyze the diffraction regime of the Kapitza–Dirac effect for particles entangled in momentum. The detection patterns show two-particle interferences. In the single-mode case we identify a discontinuity in the set of joint detection probabilities, associated with the disconnected character of the space of non-separable states. For Gaussian multi-mode states we derive the diffraction patterns, providing an example of the dependence of the light–matter interaction on entanglement. When the particles are identical, we can explore the relation between exchange and entanglement effects. We find a complementary behavior between overlapping and Schmidt’s number. In particular, symmetric entanglement can cancel the exchange effects. - Highlights: • Kapitza–Dirac diffraction of entangled particles shows multiparticle interference. • There is a discontinuity in the set of joint detection patterns of entangled states. • We find a complementary behavior between overlapping and Schmidt’s number. • Symmetric entanglement can cancel the exchange effects.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22451149

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 355; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFRACTION; DIFFRACTION GRATINGS; INTERFERENCE; QUANTUM ENTANGLEMENT

### Citation Formats

```
Sancho, Pedro, E-mail: psanchos@aemet.es.
```*Diffraction of entangled particles by light gratings*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.02.010.

```
Sancho, Pedro, E-mail: psanchos@aemet.es.
```*Diffraction of entangled particles by light gratings*. United States. doi:10.1016/J.AOP.2015.02.010.

```
Sancho, Pedro, E-mail: psanchos@aemet.es. Wed .
"Diffraction of entangled particles by light gratings". United States. doi:10.1016/J.AOP.2015.02.010.
```

```
@article{osti_22451149,
```

title = {Diffraction of entangled particles by light gratings},

author = {Sancho, Pedro, E-mail: psanchos@aemet.es},

abstractNote = {We analyze the diffraction regime of the Kapitza–Dirac effect for particles entangled in momentum. The detection patterns show two-particle interferences. In the single-mode case we identify a discontinuity in the set of joint detection probabilities, associated with the disconnected character of the space of non-separable states. For Gaussian multi-mode states we derive the diffraction patterns, providing an example of the dependence of the light–matter interaction on entanglement. When the particles are identical, we can explore the relation between exchange and entanglement effects. We find a complementary behavior between overlapping and Schmidt’s number. In particular, symmetric entanglement can cancel the exchange effects. - Highlights: • Kapitza–Dirac diffraction of entangled particles shows multiparticle interference. • There is a discontinuity in the set of joint detection patterns of entangled states. • We find a complementary behavior between overlapping and Schmidt’s number. • Symmetric entanglement can cancel the exchange effects.},

doi = {10.1016/J.AOP.2015.02.010},

journal = {Annals of Physics},

number = ,

volume = 355,

place = {United States},

year = {Wed Apr 15 00:00:00 EDT 2015},

month = {Wed Apr 15 00:00:00 EDT 2015}

}