TY - JOUR
T1 - Intertwined and vestigial order with ultracold atoms in multiple cavity modes
AU - Gopalakrishnan, Sarang
AU - Shchadilova, Yulia E.
AU - Demler, Eugene
N1 - Funding Information:
The authors acknowledge support from Harvard-MIT CUA, NSF Grant No. DMR-1308435, AFOSR Quantum Simulation MURI, and AFOSR Grant No. FA9550-16-1-0323.
Funding Information:
The authors thank E. Dalla Torre, T. Donner, T. Esslinger, M. Fleischauer, J. Keeling, J. Léonard, B. Lev, A. Morales, G. Morigi, L. Radzihovsky, and P. Zupancic for helpful discussions. We also thank T. Shi and I. Cirac for many valuable insights into the analysis of Gaussian wave functions. The authors acknowledge support from Harvard-MIT CUA, NSF Grant No. DMR-1308435, AFOSR Quantum Simulation MURI, and AFOSR Grant No. FA9550-16-1-0323. APPENDIX A:
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/12/19
Y1 - 2017/12/19
N2 - Atoms in transversely pumped optical cavities "self-organize" by forming a density wave and emitting superradiantly into the cavity mode(s). For a single-mode cavity, the properties of this self-organization transition are well characterized both theoretically and experimentally. Here, we explore the self-organization of a Bose-Einstein condensate in the presence of two cavity modes - a system that recently was realized experimentally [Léonard, Nature (London) 543, 87 (2017)NATUAS0028-083610.1038/nature21067]. We argue that this system can exhibit a "vestigially ordered" phase in which neither cavity mode exhibits superradiance but the cavity modes are mutually phase locked by the atoms. We argue that this vestigially ordered phase should generically be present in multimode cavity geometries.
AB - Atoms in transversely pumped optical cavities "self-organize" by forming a density wave and emitting superradiantly into the cavity mode(s). For a single-mode cavity, the properties of this self-organization transition are well characterized both theoretically and experimentally. Here, we explore the self-organization of a Bose-Einstein condensate in the presence of two cavity modes - a system that recently was realized experimentally [Léonard, Nature (London) 543, 87 (2017)NATUAS0028-083610.1038/nature21067]. We argue that this system can exhibit a "vestigially ordered" phase in which neither cavity mode exhibits superradiance but the cavity modes are mutually phase locked by the atoms. We argue that this vestigially ordered phase should generically be present in multimode cavity geometries.
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U2 - 10.1103/PhysRevA.96.063828
DO - 10.1103/PhysRevA.96.063828
M3 - Article
AN - SCOPUS:85039862837
SN - 2469-9926
VL - 96
JO - Physical Review A
JF - Physical Review A
IS - 6
M1 - 063828
ER -