Universität zu Köln

Mumford, Jesse, O'Dell, D. H. J. and Larson, Jonas (2015). Dicke-type phase transition in a multimode optomechanical system. Ann. Phys.-Berlin, 527 (1-2). S. 115 - 131. WEINHEIM: WILEY-V C H VERLAG GMBH. ISSN 1521-3889

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Abstract

We consider the membrane in the middle optomechanical model consisting of a laser pumped cavity which is divided in two by a flexible membrane that is partially transmissive to light and subject to radiation pressure. Steady state solutions at the mean-field level reveal that there is a critical strength of the light-membrane coupling above which there is a symmetry breaking bifurcation where the membrane spontaneously acquires a displacement either to the left or the right. This bifurcation bears many of the signatures of a second order phase transition and we compare and contrast it with that found in the Dicke model. In particular, by studying limiting cases and deriving dynamical critical exponents using the fidelity susceptibility method, we argue that the two models share very similar critical behaviour. For example, the obtained critical exponents indicate that they fall within the same universality class. Away from the critical regime we identify, however, some discrepancies between the two models. Our results are discussed in terms of experimentally relevant parameters and we evaluate the prospects for realizing Dicke-type physics in these systems.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mumford, Jesse UNSPECIFIED UNSPECIFIED UNSPECIFIED O'Dell, D. H. J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Larson, Jonas UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-416936
DOI:	10.1002/andp.201400105
Journal or Publication Title:	Ann. Phys.-Berlin
Volume:	527
Number:	1-2
Page Range:	S. 115 - 131
Date:	2015
Publisher:	WILEY-V C H VERLAG GMBH
Place of Publication:	WEINHEIM
ISSN:	1521-3889
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BOSE-EINSTEIN CONDENSATE; OPTICAL BISTABILITY; CAVITY OPTOMECHANICS; QUANTUM-THEORY; RADIATION; DYNAMICS; MIRROR Multiple languages Physics, Multidisciplinary Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41693