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Atoms 2016, 4(1), 1; doi:10.3390/atoms4010001

Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field

1
Physics Department, University of Illinois at Urbana-Champaign, West Green Street, Urbana, IL 61801-3080, USA
2
Physics Department, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India
*
Author to whom correspondence should be addressed.
Academic Editors: Jonathan Goldwin and Duncan O’Dell
Received: 31 July 2015 / Revised: 19 November 2015 / Accepted: 15 December 2015 / Published: 25 December 2015
(This article belongs to the Special Issue Cavity Quantum Electrodynamics with Ultracold Atoms)
View Full-Text   |   Download PDF [2585 KB, uploaded 29 December 2015]   |  

Abstract

In this article we present a pedagogical discussion of some of the optomechanical properties of a high finesse cavity loaded with ultracold atoms in laser induced synthetic gauge fields of different types. Essentially, the subject matter of this article is an amalgam of two sub-fields of atomic molecular and optical (AMO) physics namely, the cavity optomechanics with ultracold atoms and ultracold atoms in synthetic gauge field. After providing a brief introduction to either of these fields we shall show how and what properties of these trapped ultracold atoms can be studied by looking at the cavity (optomechanical or transmission) spectrum. In presence of abelian synthetic gauge field we discuss the cold-atom analogue of Shubnikov de Haas oscillation and its detection through cavity spectrum. Then, in the presence of a non-abelian synthetic gauge field (spin-orbit coupling), we see when the electromagnetic field inside the cavity is quantized, it provides a quantum optical lattice for the atoms, leading to the formation of different quantum magnetic phases. We also discuss how these phases can be explored by studying the cavity transmission spectrum. View Full-Text
Keywords: ultracold atoms; cavity optomechanics; synthetic gauge field; spin-orbit coupling ultracold atoms; cavity optomechanics; synthetic gauge field; spin-orbit coupling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Padhi, B.; Ghosh, S. Cavity Optomechanics with Ultra Cold Atoms in Synthetic Abelian and Non-Abelian Gauge Field. Atoms 2016, 4, 1.

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