Dissipationless flow and sharp threshold of a polariton condensate with long lifetime

Physical Review X

Volumn 3, Issue 4, 2014, Pages

  Nelsen, Bryan ^a   Liu, Gangqiang ^a   Steger, Mark ^a   Snoke, David W ^a   Balili, Ryan ^b,d   West, Ken ^c   Pfeiffer, Loren ^c  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b MINDANAO STATE UNIVERSITY ILIGAN INSTITUTE OF TECHNOLOGY   (Philippines)

^c Princeton University   (United States)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

HIGH QUALITY FACTORS; INCOHERENT PUMP; LOCAL POTENTIALS; LONG LIFETIME; NEW RESULTS; POLARITON CONDENSATES; POLARITONS; SHARP THRESHOLD;

BOSE-EINSTEIN CONDENSATION; PHONONS; PHOTONS; SOLIDS;

QUANTUM THEORY;

EID: 84892391195     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.3.041015     Document Type: Article

References (45)

1. K. G. Lagoudakis, F. Manni, B. Pietka, M. Wouters, T. C. H. Liew, V. Savona, A.V. Kavokin, R. André, and B. Deveaud-Plédran, Probing the Dynamics of Spontaneous Quantum Vortices in Polariton Superfluids, Phys. Rev. Lett. 106, 115301 (2011).
2. K. G. Lagoudakis, B. Pietka, M. Wouters, R. André, and B. Deveaud-Plédran, Coherent Oscillations in an Exciton-Polariton Josephson Junction, Phys. Rev. Lett. 105, 120403 (2010).
3. J. Kasprzak et al., Bose-Einstein Condensation of Exciton Polaritons, Nature (London) 443, 409 (2006).
4. R. Balili, V. Hartwell, D. Snoke, L. Pfeiffer, and K. West, Bose-Einstein Condensation of Microcavity Polaritons in a Trap, Science 316, 1007 (2007).
5. S. Utsunomiya et al., Observation of Bogoliubov Excitations in Exciton-Polariton Condensates, Nat. Phys. 4, 700 (2008).
6. V. Kohnle, Y. Léger, M. Wouters, M. Richard, M. T. Portella-Oberli, and B. Deveaud-Plédran, Single Particle to Superfluid Excitations in a Dissipative Polariton Gas, Phys. Rev. Lett. 106, 255302 (2011).
7. M. Aßmann, J.-S. Tempel, F. Veit, M. Bayer, A. Rahimi-Iman, A. Löffler, S. Höfling, S. Reitzenstein, L.Worschech, and A. Forchel, From Polariton Condensates to Highly Photonic Quantum Degenerate States of Bosonic Matter, Proc. Natl. Acad. Sci. U.S.A. 108, 1804 (2011).
8. D. Snoke and P. Littlewood, Polariton Condensates, Phys. Today 63, No. 8, 42 (2010).
9. H. Deng, H. Haug, and Y. Yamamoto, Exciton-Polariton Bose-Einstein Condensation, Rev. Mod. Phys. 82, 1489 (2010).
10. A. Kavokin, J. J. Baumberg, G. Malpuech, and F. P. Laussy, Microcavities (Oxford University Press, New York, 2011).
11. D.W. Snoke, in Exciton Polaritons in Microcavities, edited by V. Timofeev and D. Sanvitto, Springer Series in Solid State Sciences Vol. 172 (Springer, New York, 2012).
12. A. Amo et al., Collective Fluid Dynamics of a Polariton Condensate in a Semiconductor Microcavity, Nature (London) 457, 291 (2009).
13. E. Wertz et al., Spontaneous Formation and Optical Manipulation of Extended Polariton Condensates, Nat. Phys. 6, 860 (2010).
14. I. Carusotto and C. Ciuti, Quantum Fluids of Light, Rev. Mod. Phys. 85, 299 (2013).
15. P. Nozierés, in Bose-Einstein Condensation, edited by A. Griffin, D.W. Snoke, and S. Stringari (Cambridge University Press, Cambridge, England, 1995).
16. M. Combescot and D.W. Snoke, Stability of a Bose-Einstein Condensate Revisited for Composite Bosons, Phys. Rev. B 78, 144303 (2008).
17. G. Tosi, G. Christmann, N. G. Berloff, P. Tsotsis, T. Gao, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Sculpting Oscillators with Light within a Nonlinear Quantum Fluid, Nat. Phys. 8, 190 (2012).
18. G. Christmann, G. Tosi, N. G. Berloff, P. Tsotsis, P. S. Eldridge, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Polariton Ring Condensates and Sunflower Ripples in an Expanding Quantum Liquid, Phys. Rev. B 85, 235303 (2012).
19. R. Balili, B. Nelsen, D.W. Snoke, L. Pfeiffer, and K.West, Role of the Stress Trap in the Polariton Quasiequilibrium Condensation in GaAs Microcavities, Phys. Rev. B 79, 075319 (2009).
20. M. Steger, B. Nelsen, G. Liu, D.W. Snoke, L. Pfeiffer, and K. West, Long Range Ballistic Motion and Coherent Flow of Long Lifetime Polaritons (unpublished).
21. H. Deng, D. Press, S. Götzinger, G. S. Solomon, R. Hey, K. H. Ploog, and Y. Yamamoto, Quantum Degenerate Exciton-Polaritons in Thermal Equilibrium, Phys. Rev. Lett. 97, 146402 (2006).
22. P.Wen, B. Nelsen, D.W. Snoke, K. Nelsen, L. Pfeiffer, and K.West, Phase Diagram of Bose-Einstein Condensation of Long-Lifetime Polaritons in Equilibrium (unpublished).
23. The importance of a stabilized laser has been shown by A. P. D. Love et al., Intrinsic Decoherence Mechanisms in the Microcavity Polariton Condensate, Phys. Rev. Lett. 101, 067404 (2008).
24. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.3.041015 for details of the calibration of the k-space data.
25. We are also able to select single spatial regions for k-space resolution using a pinhole in a secondary image plane as opposed to integrating over all space as in Fig. 1 here. Cf. Ref. [13].
26. V. E. Hartwell and D.W. Snoke, Numerical Simulations of the Polariton Kinetic Energy Distribution in GaAs Quantum-Well Microcavity Structures, Phys. Rev. B 82, 075307 (2010).
27. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.3.041015 for an image of the polariton flow in this sample over a very long distance under similar experimental conditions.
28. M.Wouters, I. Carusotto, and C. Ciuti, Spatial and Spectral Shape of Inhomogeneous Nonequilibrium Exciton-Polariton Condensates, Phys. Rev. B 77, 115340 (2008).
29. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevX.3.041015 for experimental data showing the coherence of the propagating polaritons and a theoretical model for their propagation.
30. M. Richard, J. Kasprzak, R. Romestain, R. André, and Le Si Dang, Spontaneous Coherent Phase Transition of Polaritons in CdTe Microcavities, Phys. Rev. Lett. 94, 187401 (2005).
31. J. Kasprzak, Ph.D. thesis, University Joseph Fourier, 2006.
32. Similar trapping behavior has been reported recently by P. Cristofolini, A. Dreismann, G. Christmann, G. Franchetti, N. G. Berloff, P. Tsotsis, Z. Hatzopoulos, P. G. Savvidis, and J. J. Baumberg, Optical Superfluid Phase Transitions and Trapping of Polariton Condensates, Phys. Rev. Lett. 110, 186403 (2013). Although no evidence of a sharp jump in sharp spectral narrowing or coherence time was reported in that work, and the distances involved were much shorter, it is likely that the effect of trapping is related to that reported here.
33. N. G. Berloff (private communication).
34. A. Amo et al., Polariton Superfluids Reveal Quantum Hydrodynamic Solitons, Science 332, 1167 (2011).
35. H. Saito, T. Aioi, and T. Kadokura, Benard-von Kármán Vortex Street in an Exciton-Polariton Superfluid, Phys. Rev. B 86, 014504 (2012).
36. B. Nelsen, R. Balili, D.W. Snoke, L. Pfeiffer, and K.West, Lasing and Polariton Condensation: Two Distinct Transitions in GaAs Microcavities with Stress Traps, J. Appl. Phys. 105, 122414 (2009).
37. J.-S. Tempel et al., Characterization of Two-Threshold Behavior of the Emission from a GaAs Microcavity, Phys. Rev. B 85, 075318 (2012).
38. See M. J. David, S. A. Gardiner, T.M. Hanna, N. Nygaard, N. P. Proukakis, and M. H. Szymanska, Quantum Gases (Imperial College Press, London, 2013), Sec. 4.7.
39. L. Pitaevskii and S. Stringari, Bose-Einstein Condensation (Oxford University Press, New York, 2003).
40. O. L. Berman, Yu. E. Lozovik, and D.W. Snoke, Theory of Bose-Einstein Condensation and Superfluidity of Two-Dimensional Polaritons in an In-Plane Harmonic Potential, Phys. Rev. B 77, 155317 (2008).
41. M. Holzmann, G. Baym, J.-P. Blaizot, and F. Laloë, Superfluid Transition of Homogeneous and Trapped Two-Dimensional Bose Gases, Proc. Natl. Acad. Sci. U.S.A. 104, 1476 (2007).
42. M. Aßmann, F. Veit, M. Bayer, A. Löffler, S. Höfling, M. Kamp, and A. Forchel, All-Optical Control of Quantized Momenta on a Polariton Staircase, Phys. Rev. B 85, 155320 (2012).
43. B. Sermage, G. Malpuech, A.V. Kavokin, and V. Thierry-Mieg, Polariton Acceleration in a Microcavity Wedge, Phys. Rev. B 64, 081303(R) (2001).
44. R. B. Balili, D.W. Snoke, L. Pfeiffer, and K. West, Actively Tuned and Spatially Trapped Polaritons, Appl. Phys. Lett. 88, 031110 (2006).
45. A. Hayat, C. Lange, L. A. Rozema, A. Darabi, H. M. van Driel, A. M. Steinberg, B. Nelsen, D.W. Snoke, L. N. Pfeiffer, and K.W. West, Dynamic Stark Effect in Strongly Coupled Microcavity Exciton Polaritons, Phys. Rev. Lett. 109, 033605 (2012).