Dynamical Critical Exponents in Driven-Dissipative Quantum Systems

Year: 2018

Authors: Comaron P., Dagvadorj G., Zamora A., Carusotto I., Proukakis NP., Szymanska MH.

Autors Affiliation: Newcastle Univ, Sch Math Stat & Phys, Joint Quantum Ctr JQC Durham Newcastle, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England; UCL, Dept Phys & Astron, Gower St, London WC1E 6BT, England; Univ Warwick, Dept Phys, Coventry CV4 7AL, W Midlands, England; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.

Abstract: We study the phase ordering of parametrically and incoherently driven microcavity polaritons after an infinitely rapid quench across the critical region. We confirm that the system, despite its driven-dissipative nature, satisfies the dynamical scaling hypothesis for both driving schemes by exhibiting self-similar patterns for the two-point correlator at late times of the phase ordering. We show that polaritons are characterized by the dynamical critical exponent z approximate to 2 with topological defects playing a fundamental role in the dynamics, giving logarithmic corrections both to the power-law decay of the number of vortices and to the associated growth of the characteristic length scale.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 121 (9)      Pages from: 95302-1  to: 95302-6

More Information: We thank George W. Stagg and Kean Loon Lee for computational assistance and Michal Matuszewski and Leticia Cugliandolo for fruitful discussions. We acknowledge financial support from Engineering and Physical Science Research Council: Grants No. EP/I028900/2 and No. EP/K003623/2 (A.Z.,G.D., and M.H.S.) and EP/L504828/1 (P.C. and N.P.P. for DTA support). This work was supported by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). Data supporting this publication are openly available under an Open Data Commons Open Database License.
KeyWords: Phase-ordering Kinetics; Xy Model
DOI: 10.1103/PhysRevLett.121.095302

Citations: 46
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