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Schematic phase diagram of the mBHMV with a harmonic potential at $\tilde {\mu }=1.5\to 0.5$. Four phases are identified in the annular superfluid region when J is small: the unicirculation phase (U), the Meissner phase (M), the vortex phase (V) and the reversed current phase (RC). The vortex superfluid phase (VSF) appears when the MI regions are destroyed by large J. The ‘+’ symbols mark the parameter points analyzed with DGMFT.
Source publication
The phase diagram of ultracold bosons in a 2D optical lattice subjected to a uniform magnetic flux is studied by the inhomogeneous Gutzwiller variational method. With a harmonic external potential, the density profile exhibits wedding-cake shape and the Mott phase forms a series of circular platforms with integer fillings. There are annular rings o...
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Citations
... Minimization of the effective action ⟨Ψ|i ∂ ∂T −Ĥ|Ψ⟩ results in the time dependent Gutzwiller amplitude c n ↑ ,n ↓ i [81][82][83][84][85], which is given by ...
We investigate the quantum phases and phase transitions for
spin-orbit coupled two-species bosons with nearest-neighbor (NN)
interaction in a two-dimensional square lattice using
inhomogeneous dynamical Guztwiller mean-field (IDGMF) method.
Under the effect of spin-orbit coupling (SOC) and NN interaction,
we uncover a rich variety of different magnetic supersolid (SS)
phases. In the presence of intraspecies NN interaction, the phase
diagram exhibits the phase-twisted double-checkerboard SS
(PT-DCSS) and phase-striped double-checkerboard SS (PS-DCSS)
phases. For both intra- and interspecies NN interactions, apart
from the phase-twisted lattice SS (PT-LSS) and phase-striped
lattice SS (PS-LSS) phases, some nontrivial SS phases with
interesting properties occur. More importantly, we find that the
emergences of these nontrivial SS phases are dependent of the
interspecies on-site interaction. To further characterize the SS
phases, we also discuss the spin-dependent momentum distributions
and magnetic textures. The magnetic textures, such as
antiferromagnetic, spiral and stripe orders are shown. Finally, we
give the fully analytical insights into the numerical results.
... As shown in a landmark study based on bosonization in 2001 [61], the Meissner and vortex phases, which are reminiscent of a type-II superconductor, are found in the two-leg flux-ladder model. A variety of emergent quantum phases are hosted by the bosonic flux ladders in presence of on-site interaction [50,[61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77], including Meissner phase, vortex-liquid phase, vortex lattice phase, the charge-density wave (CDW) phase, and the biased-ladder phase (BLP). The configurations of local currents j ,r and j ⊥ r serve as one of the most important quantities to distinguish the phases [67]. ...
We investigate the quench dynamics of interacting bosons on a two-leg ladder in the presence of a uniform Abelian gauge field. The model hosts a variety of emergent quantum phases, and we focus on the superfluid biased-ladder phase breaking the Z2 symmetry of two legs. We observe an asymmetric spreading of vortex current and particle density, i.e., the vortices propagate ballistically on the right and dissolve during the propagation on the left, indicating spontaneous breaking of the spatial inversion symmetry. By decreasing the repulsion strength, it is found that the ballistic propagating vortices are more robust than the dissolving ones on the other side.
... The SS phase is characterized by a periodic density modulation and a non-zero order parameter. Recently, a significant amount of theoretical work has contributed to the study of SS in optical lattice systems [18][19][20][21][22][23][24][25]. ...
We explore the condensate phase of single-species bosons in an optical lattice through the use of dissipative Bose-Hubbard models. The ground state of system possesses a real-energy, which corresponds to non-Hermitian Hamiltonians with non-reciprocal hopping phase factors. Through the application of inhomogeneous dynamical Gutzwiller mean-field theory (DGMFT), we predict a fascinating phenomenon: the ground state displays a periodic arrangement of superfluid islands amidst a Mott insulator sea. Additionally, the number of superfluid islands is proportional to the spatial period squared.
... In a ladder lattice the synthetic gauge field breaks time reversal symmetry and induces Meissner currents [11,12,28,29]. Song et al investigated the effects of magnetic flux on the vortex states in the optical lattice [30,31]. It is interesting whether an SS can be induced by * Author to whom any correspondence should be addressed. ...
... In this paper, we explore the ground state phases of bosonic atoms in a two-leg ladder lattice subjected to an artificial magnetic flux. By using the inhomogeneous dynamical Gutzwiller mean-field method (DGMFT) [8,[30][31][32], we identified the Mott insulator (MI), the SF as well as SS phases which resemble to those in the eBH. The spatial period of the SS is found to depend on the magnetic flux φ, with T = 2π/φ. ...
The ground state phases of ultracold bosons in a ladder optical lattice subjected to a magnetic field are studied. With the inhomogeneous Gutzwiller variational method, we find that a modulated supersolid phase appears as the magnetic flux increases. The dependence of the supersolid period on the magnetic flux satisfies the commensurate conditions of integer times of 2 π / ϕ .
The quantum system composed of optical lattice and ultracold atomic gas is an ideal platform for quantum simulation and quantum computing. Especially for dipolar bosons in an optical lattice with artificial gauge fields, the interplay between anisotropic dipolar interactions and artificial gauge fields leads to many novel phases. Exploring the phase transition characteristics of the system is beneficial for understanding the physics of quantum many-body systems and observing quantum states of dipolar system in experiments. In this work, we investigate the quantum phase transitions of anisotropic dipolar bosons in a two-dimensional optical lattice with an artificial magnetic fields. Using an inhomogeneous mean-field method and a Landau phase transition theory, we obtain complete phase diagrams and analytical expressions for phase boundaries between an incompressible and a compressible phase. Our results show that both the artificial magnetic field and the anisotropic dipolar interaction have a significant effect on the phase diagram. When the polar angle increases, the system undergoes the phase transition from a checkerboard supersolid to a striped supersolid. For small polar angle ($V_x/U=0.2, V_y/U=0.1$, Fig.(a)), artificial magnetic field induces both checkerboard solid and supersolid phases extend to large hopping region. For the larger polar angle ($V_x/U=0.2, V_y/U=-0.1$, Fig.(b)), artificial magnetic field induces both striped solid and striped supersolid extend to large hopping region. Thus, the artificial magnetic field stabilizes the density wave and supersolid phases. In addition, we reveal the coexistence of different quantum phases in the presence of an external trapping potential. The results provide theoretical evidence for manipulating the quantum phase in experiments with anisotropic dipolar atoms through an artificial magnetic field.
