Power-law decay of the spatial correlation function in exciton-polariton condensates

Georgios Roumpos; Michael Lohse; Wolfgang H. Nitsche; Jonathan Keeling; Marzena Hanna Szymanska; Peter B. Littlewood; Andreas Loeffler; Sven Höfling; Lukas Worschech; Alfred Forchel; Yoshihisa Yamamoto

doi:10.1073/pnas.1107970109

Power-law decay of the spatial correlation function in exciton-polariton condensates

Georgios Roumpos^*, Michael Lohse, Wolfgang H. Nitsche, Jonathan Keeling, Marzena Hanna Szymanska, Peter B. Littlewood, Andreas Loeffler, Sven Höfling, Lukas Worschech, Alfred Forchel, Yoshihisa Yamamoto

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We create a large exciton-polariton condensate and employ a Michelson interferometer setup to characterize the short- and long-distance behavior of the first order spatial correlation function. Our experimental results show distinct features of both the two-dimensional and nonequilibrium characters of the condensate. We find that the gaussian short-distance decay is followed by a power-law decay at longer distances, as expected for a two-dimensional condensate. The exponent of the power law is measured in the range 0.9-1.2, larger than is possible in equilibrium. We compare the experimental results to a theoretical model to understand the features required to observe a power law and to clarify the influence of external noise on spatial coherence in nonequilibrium phase transitions. Our results indicate that Berezinskii-Kosterlitz-Thouless-like phase order survives in open-dissipative systems.

Original language	English
Pages (from-to)	6467-6472
Number of pages	6
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	109
Issue number	17
Early online date	11 Apr 2012
DOIs	https://doi.org/10.1073/pnas.1107970109
Publication status	Published - 24 Apr 2012

Keywords

quantum well excitons
semiconductor microcavities
BOSE-EINSTEIN CONDENSATION
MICROCAVITY
COHERENCE
GAS

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10.1073/pnas.1107970109

Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems
Wahl, P. (PI), Baumberger, F. (CoI), Davis, J. C. (CoI), Green, A. (CoI), Hooley, C. (CoI), Keeling, J. M. J. (CoI) & Mackenzie, A. (CoI)
EPSRC
1/09/11 → 31/08/17
Project: Standard
Macroscopic quantum coherence: Macroscopic quantum coherence in non-equilibrium and driven quantum systems
Keeling, J. M. J. (PI)
EPSRC
1/09/10 → 31/03/14
Project: Fellowship

Cite this

Roumpos, G., Lohse, M., Nitsche, W. H., Keeling, J., Szymanska, M. H., Littlewood, P. B., Loeffler, A., Höfling, S., Worschech, L., Forchel, A., & Yamamoto, Y. (2012). Power-law decay of the spatial correlation function in exciton-polariton condensates. Proceedings of the National Academy of Sciences of the United States of America, 109(17), 6467-6472. https://doi.org/10.1073/pnas.1107970109

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title = "Power-law decay of the spatial correlation function in exciton-polariton condensates",

abstract = "We create a large exciton-polariton condensate and employ a Michelson interferometer setup to characterize the short- and long-distance behavior of the first order spatial correlation function. Our experimental results show distinct features of both the two-dimensional and nonequilibrium characters of the condensate. We find that the gaussian short-distance decay is followed by a power-law decay at longer distances, as expected for a two-dimensional condensate. The exponent of the power law is measured in the range 0.9-1.2, larger than is possible in equilibrium. We compare the experimental results to a theoretical model to understand the features required to observe a power law and to clarify the influence of external noise on spatial coherence in nonequilibrium phase transitions. Our results indicate that Berezinskii-Kosterlitz-Thouless-like phase order survives in open-dissipative systems.",

keywords = "quantum well excitons, semiconductor microcavities, BOSE-EINSTEIN CONDENSATION, MICROCAVITY, COHERENCE, GAS",

author = "Georgios Roumpos and Michael Lohse and Nitsche, {Wolfgang H.} and Jonathan Keeling and Szymanska, {Marzena Hanna} and Littlewood, {Peter B.} and Andreas Loeffler and Sven H{\"o}fling and Lukas Worschech and Alfred Forchel and Yoshihisa Yamamoto",

year = "2012",

month = apr,

day = "24",

doi = "10.1073/pnas.1107970109",

language = "English",

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pages = "6467--6472",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

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Roumpos, G, Lohse, M, Nitsche, WH, Keeling, J, Szymanska, MH, Littlewood, PB, Loeffler, A, Höfling, S, Worschech, L, Forchel, A & Yamamoto, Y 2012, 'Power-law decay of the spatial correlation function in exciton-polariton condensates', Proceedings of the National Academy of Sciences of the United States of America, vol. 109, no. 17, pp. 6467-6472. https://doi.org/10.1073/pnas.1107970109

TY - JOUR

T1 - Power-law decay of the spatial correlation function in exciton-polariton condensates

AU - Roumpos, Georgios

AU - Lohse, Michael

AU - Nitsche, Wolfgang H.

AU - Keeling, Jonathan

AU - Szymanska, Marzena Hanna

AU - Littlewood, Peter B.

AU - Loeffler, Andreas

AU - Höfling, Sven

AU - Worschech, Lukas

AU - Forchel, Alfred

AU - Yamamoto, Yoshihisa

PY - 2012/4/24

Y1 - 2012/4/24

N2 - We create a large exciton-polariton condensate and employ a Michelson interferometer setup to characterize the short- and long-distance behavior of the first order spatial correlation function. Our experimental results show distinct features of both the two-dimensional and nonequilibrium characters of the condensate. We find that the gaussian short-distance decay is followed by a power-law decay at longer distances, as expected for a two-dimensional condensate. The exponent of the power law is measured in the range 0.9-1.2, larger than is possible in equilibrium. We compare the experimental results to a theoretical model to understand the features required to observe a power law and to clarify the influence of external noise on spatial coherence in nonequilibrium phase transitions. Our results indicate that Berezinskii-Kosterlitz-Thouless-like phase order survives in open-dissipative systems.

AB - We create a large exciton-polariton condensate and employ a Michelson interferometer setup to characterize the short- and long-distance behavior of the first order spatial correlation function. Our experimental results show distinct features of both the two-dimensional and nonequilibrium characters of the condensate. We find that the gaussian short-distance decay is followed by a power-law decay at longer distances, as expected for a two-dimensional condensate. The exponent of the power law is measured in the range 0.9-1.2, larger than is possible in equilibrium. We compare the experimental results to a theoretical model to understand the features required to observe a power law and to clarify the influence of external noise on spatial coherence in nonequilibrium phase transitions. Our results indicate that Berezinskii-Kosterlitz-Thouless-like phase order survives in open-dissipative systems.

KW - quantum well excitons

KW - semiconductor microcavities

KW - BOSE-EINSTEIN CONDENSATION

KW - MICROCAVITY

KW - COHERENCE

KW - GAS

U2 - 10.1073/pnas.1107970109

DO - 10.1073/pnas.1107970109

M3 - Article

SN - 0027-8424

VL - 109

SP - 6467

EP - 6472

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 17

ER -

Power-law decay of the spatial correlation function in exciton-polariton condensates

Abstract

Keywords

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Projects

Topological Protection and NonEquilibriu: Topological Protection and NonEquilibrium States in Strongly Correlated Electron Systems

Macroscopic quantum coherence: Macroscopic quantum coherence in non-equilibrium and driven quantum systems

Cite this