Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice

Abstract

We propose a model with quantum bosons on the fcc lattice, which has a stable algebraic Bose liquid phase at low energy. We show that this phase is described by emergent quantum gravity at the Gaussian z = 3 Lifshitz fixed point in 3+1 dimensions. The stability of this algebraic Bose liquid phase is guaranteed by the gauge symmetry of gravitons and self-duality of the low energy field theory. By tuning one parameter in the lattice boson model we can drive a phase transition between the z = 3 Lifshitz gravity and another algebraic Bose liquid phase, described by gravity at the z = 2 Lifshitz point.

8 pages, 1 figure

References in corpus (10)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Three dimensional resonating valence bond liquids and their excitations
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• D-wave correlated Critical Bose Liquids in two dimensions
• Resonating plaquette phases in large spin cold atom systems
• Competing orders II: the doped quantum dimer model
• Emergent U(1) gauge theory with fractionalized boson/fermion from the bose condensation of exciton in multi-band insulator

Cited by in corpus (62)

• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Fracton Phases of Matter
• General Covariance in Quantum Gravity at a Lifshitz Point
• Fracton hydrodynamics
• Towards classification of Fracton phases: the multipole algebra
• The Higgs Mechanism in Higher-Rank Symmetric $U(1)$ Gauge Theories
• Fracton topological order from Higgs and partial confinement mechanisms of rank-two gauge theory
• Emergent Gravity of Fractons: Mach's Principle Revisited
• General Covariance in Gravity at a Lifshitz Point
• X-Cube Fracton Model on Generic Lattices: Phases and Geometric Order
• Fractonic Superfluids
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Emergent Weyl spinors in multi-fermion systems
• Hydrodynamics of ideal fracton fluids
• Quantizing Horava-Lifshitz Gravity via Causal Dynamical Triangulations
• Symmetric Tensor Gauge Theories on Curved Spaces
• Stable Gapless Bose Liquid Phases without any Symmetry
• Emergent Horava gravity in graphene
• Status of Horava gravity: A personal perspective
• Fracton-elasticity duality of two-dimensional superfluid vortex crystals: defect interactions and quantum melting
• Position-Dependent Excitations and UV/IR Mixing in the ${\mathbb{Z}}_N$ Rank-2 Toric Code and its Low-Energy Effective Field Theory
• On duality between Cosserat elasticity and fractons
• Emergent Gravity requires (kinematic) non-locality
• Maxwell theory of fractons
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Variations on an aethereal theme
• Dual gauge theory formulation of planar quasicrystal elasticity and fractons
• Gauging fractons and linearized gravity
• Boundary theory of the X-cube model in the continuum
• A Two-dimensional Algebraic Quantum Liquid Produced by an Atomic Simulator of the Quantum Lifshitz Model
• Quantum electrodynamics with anisotropic scaling: Heisenberg-Euler action and Schwinger pair production in the bilayer graphene
• Fermions with cubic and quartic spectrum
• Gapped boundaries of (3+1)d topological orders
• Lattice Clifford fractons and their Chern-Simons-like theory
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Spontaneous generation of geometry in four dimensions
• Fracton gravity from spacetime dipole symmetry
• Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene
• Geodesic string condensation from symmetric tensor gauge theory: a unifying framework of holographic toy models
• Note on Generalized Symmetries, Gapless Excitations, Generalized Symmetry Protected Topological states, and Anomaly
• Emergent gravity from hidden sectors and TT deformations
• Bose-Hubbard realization of fracton defects
• Topological Dipole Conserving Insulators and Multipolar Responses
• Topology of quantum vacuum
• Holographic subdiffusion
• Hall-like behaviour of higher rank Chern-Simons theory of fractons
• Covariant Interacting Fractons
• Fragile spin liquid in three dimensions
• Fractons in effective field theories for spontaneously broken translations
• Topological Non-Fermi Liquid
• On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity
• Irrational moments and signatures of higher-rank gauge theories in diluted classical spin liquids
• Field Theories for type-II fractons
• Classification of emergent Weyl spinors in multi-fermion systems
• Exploration of The Duality Between Generalized Geometry and Extraordinary Magnetoresistance
• Clumping and quantum order: Quantum gravitational dynamics of NUT charge
• Emergent Kalb-Ramond fields from a dimer model
• Constraints on Flows in Horava-Lifshitz Gravity by Classical Solutions
• A stabilizer code model with non-invertible symmetries: Strange fractons, confinement, and non-commutative and non-Abelian fusion rules
• Global shift symmetry on an ADM hypersurface: Toward emergent gravity
• Emergent Dark Matter and Dark Energy from a Lattice Model
• Thermal Time and Kepler's Second Law