skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Intertwined superfluidity and density wave order in a p -orbital Bose condensate

Journal Article · · Physical Review B
 [1];  [2];  [1];  [3]
  1. Imperial College, London (United Kingdom)
  2. Univ. of London, Surrey (United Kingdom)
  3. Rutgers Univ., Piscataway, NJ (United States); Univ. of London, Surrey (United Kingdom)
+ Show Author Affiliations

We study a continuum model of the weakly interacting Bose gas in the presence of an external field with minima forming a triangular lattice. The second lowest band of the single-particle spectrum ( p band) has three minima at nonzero momenta. We consider a metastable Bose condensate at these momenta and find that, in the presence of interactions that vary slowly over the lattice spacing, the order parameter space is isomorphic to S5. We show that the enlarged symmetry leads to the loss of topologically stable vortices, as well as two extra gapless modes with quadratic dispersion. Here, the former feature implies that this non-Abelian condensate is a “failed superfluid” that does not undergo a Berezinskii-Kosterlitz-Thouless (BKT) transition. Order-by-disorder splitting appears suppressed, implying that signatures of the S5 manifold ought to be observable at low temperatures.

Research Organization:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-99ER45790
OSTI ID:
1610436
Alternate ID(s):
OSTI ID: 1489728
Journal Information:
Physical Review B, Vol. 99, Issue 1; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (29)

Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models journal November 1966
Existence of Long-Range Order in One and Two Dimensions journal June 1967
Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition journal June 2013
Unconventional Bose–Einstein Condensations Beyond the "No-Node" Theorem journal January 2009
Momentum-shell recursion relations, anisotropic spins, and liquid crystals in 2 + ε dimensions journal September 1977
Quasi-Nambu-Goldstone modes in nonrelativistic systems journal January 2015
Quantum phases from competing short- and long-range interactions in an optical lattice journal April 2016
Supersolid formation in a quantum gas breaking a continuous translational symmetry journal March 2017
Intertwined superfluid and density wave order in two-dimensional 4He journal February 2017
Counting rule of Nambu–Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach journal March 2015
Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance journal June 2012
Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions journal March 2006
Superpositions of SU (3) coherent states via a nonlinear evolution journal March 2001
Observation of roton mode population in a dipolar quantum gas journal March 2018
Ordering, metastability and phase transitions in two-dimensional systems journal April 1973
Mean-field and stability analyses of two-dimensional flowing soft-core bosons modeling a supersolid journal August 2012
Uniaxial and Biaxial Spin Nematic Phases Induced by Quantum Fluctuations journal April 2007
Order by disorder in spin-orbit-coupled Bose-Einstein condensates journal February 2012
Extended Bose-Hubbard models with ultracold magnetic atoms journal April 2016
Number of Nambu-Goldstone bosons and its relation to charge densities journal December 2011
Evidence for orbital superfluidity in the P-band of a bipartite optical square lattice journal December 2010
Unbinding of Giant Vortices in States of Competing Order journal October 2012
Nematic Order by Disorder in Spin-2 Bose-Einstein Condensates journal May 2007
Quantum Quasicrystals of Spin-Orbit-Coupled Dipolar Bosons journal October 2013
Atomic matter of nonzero-momentum Bose-Einstein condensation and orbital current order journal July 2006
Three-Dimensional Roton Excitations and Supersolid Formation in Rydberg-Excited Bose-Einstein Condensates journal May 2010
Multiflavor bosonic Hubbard models in the first excited Bloch band of an optical lattice journal November 2005
State Preparation and Dynamics of Ultracold Atoms in Higher Lattice Orbitals journal November 2007
Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities journal August 2018

Figures / Tables (4)

FIG. 1(p. 3)figure FIG. 1
FIG. 2(p. 4)figure FIG. 2
FIG. 3(p. 6)figure FIG. 3
FIG. 4(p. 10)figure FIG. 4

Similar Records

Vortex pairing in two-dimensional Bose gases
Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. A · OSTI ID:1610436
Observation of a 2D Bose Gas: From Thermal to Quasicondensate to Superfluid
Journal Article · Fri May 01 00:00:00 EDT 2009 · Physical Review Letters · OSTI ID:1610436
+2 more
Coherence properties of a two-dimensional trapped Bose gas around the superfluid transition
Journal Article · Thu Dec 15 00:00:00 EST 2011 · Physical Review. A · OSTI ID:1610436
+4 more

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
materials science
physics
Bose gases
cold and ultracold molecules
dipolar gases
vortices in superfluids