Abstract

We analyze the Einstein–Podolsky–Rosen (EPR) steering properties in a three-well Bose–Hubbard model under the mechanism of coherent transport of atomic population (CTAP). This process, also known as transport without transit (TWT), transfers condensed atoms from one well of a lattice potential to another, nonadjacent well, without macroscopic occupation of the middle well. The dynamics and entanglement properties of this system have previously been analyzed and shown to be dependent on the initial quantum state of the atoms in the first well. In this work we utilize the phase-space method of stochastic integration in the positive-P representation. The system demonstrated inseparability between the wells for Fock initial states, and we show that steering is also found only for an initial Fock state. Depending on how we write our steering inequalities, steering is seen at different times, showing a basic asymmetry. This means that for part of the evolution, Alice can steer Bob but not vice versa. After the midpoint of the population transfer, this situation reverses.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Decoherence of Einstein–Podolsky–Rosen steering

L. Rosales-Zárate, R. Y. Teh, S. Kiesewetter, A. Brolis, K. Ng, and M. D. Reid
J. Opt. Soc. Am. B 32(4) A82-A91 (2015)

Analog of the Clauser–Horne–Shimony–Holt inequality for steering

Eric G. Cavalcanti, Christopher J. Foster, Maria Fuwa, and Howard M. Wiseman
J. Opt. Soc. Am. B 32(4) A74-A81 (2015)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription