Quantum field theory for the three-body constrained lattice Bose gas. II. Application to the many-body problem

Journal Article · Sun Aug 01 00:00:00 EDT 2010 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.82.064510· OSTI ID:21421390

Diehl, S; Daley, A J; Zoller, P ^[1]; Baranov, M ^[1]

---

1. Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, A-6020 Innsbruck (Austria)

We analyze the ground-state phase diagram of attractive lattice bosons, which are stabilized by a three-body onsite hardcore constraint. A salient feature of this model is an Ising-type transition from a conventional atomic superfluid to a dimer superfluid with vanishing atomic condensate. The study builds on an exact mapping of the constrained model to a theory of coupled bosons with polynomial interactions, proposed in a related paper [S. Diehl, M. Baranov, A. Daley, and P. Zoller, Phys. Rev. B 82, 064509 (2010).]. In this framework, we focus by analytical means on aspects of the phase diagram which are intimately connected to interactions, and are thus not accessible in a mean-field plus spin-wave approach. First, we determine shifts in the mean-field phase border, which are most pronounced in the low-density regime. Second, the investigation of the strong coupling limit reveals the existence of a 'continuous supersolid', which emerges as a consequence of enhanced symmetries in this regime. We discuss its experimental signatures. Third, we show that the Ising-type phase transition, driven first order via the competition of long-wavelength modes at generic fillings, terminates into a true Ising quantum critical point in the vicinity of half filling.

• OSTI ID: 21421390
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevB.82.064510; (c) 2010 The American Physical Society; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN GAS
BOSONS
CONDENSATES
DENSITY
DIMERS
GROUND STATES
INTERACTIONS
ISING MODEL
MEAN-FIELD THEORY
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
SPIN WAVES
STRONG-COUPLING MODEL
SUPERFLUIDITY
SYMMETRY
THREE-BODY PROBLEM
WAVELENGTHS
CRYSTAL MODELS
DIAGRAMS
ENERGY LEVELS
FIELD THEORIES
INFORMATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
PARTICLE MODELS
PHYSICAL PROPERTIES