Strong Interaction Effects in Superfluid Ising Quantum Phase Transition

Abstract

We study the quantum phase transition between a normal Bose superfluid to one that breaks additional Z_2 Ising symmetry. Using the recent shaken optical lattice experiment as an example, we first show that at mean-field level atomic interaction can significantly shift the critical point. Near the critical point, bosons can condense into a momentum state with high or even locally maximum kinetic energies due to interaction effect. Then, we present a general low-energy effective field theory that treats both the superfluid transition and the Ising transition in a uniform framework, and identify a quantum tricritical point separating normal superfluid, Z_2 superfluid and Mott insulator. Using perturbative renormalization group method, we find that the quantum phase transition belongs to a unique universality class that is different from that of a dilute Bose gas.

12 pages and 7 figures including supplementary materials

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Cited by in corpus (26)

• Degenerate Quantum Gases with Spin-Orbit Coupling
• Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
• Roton-Maxon Excitation Spectrum of Bose Condensates in a Shaken Optical Lattice
• Effects of interactions on periodically driven dynamically localized systems
• Realizing discontinuous quantum phase transitions in a strongly-correlated driven optical lattice
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Bose-Einstein condensation with spin-orbit coupling
• Spin-momentum coupled Bose-Einstein condensates with lattice band pseudospins
• Effects of local periodic driving on transport and generation of bound states
• Floquet FFLO superfluids and Majorana fermions in a shaken fermionic optical lattice
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Orbital-driven melting of a bosonic Mott insulator in a shaken optical lattice
• Resonant excitations of a Bose Einstein condensate in an optical lattice
• Bandwidth-resonant Floquet states in honeycomb optical lattices
• Quantum Phase Transition of Bosons in a Shaken Optical Lattice
• Resonances in a periodically driven bosonic system
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Self-adapted Floquet Dynamics of Ultracold Bosons in a Cavity
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• Symmetry-enriched Bose-Einstein condensates in spin-orbit coupled bilayer system
• Extended Bose-Hubbard model in a shaken optical lattice
• Manipulating Cooper pairs with a controllable momentum in periodically driven degenerate Fermi gases
• Exotic domain walls in Bose-Einstein condensates with double-well dispersion
• Spin-orbit coupled bosons in one dimension: emergent gauge field and Lifshitz transition
• Constrained motions and slow dynamics in one-dimensional bosons with double-well dispersion