Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder

Abstract

We theoretically analyze the ground state of weakly interacting bosons in the flux ladder -- the system that has been recently realized by means of ultacold atoms in the specially designed optical lattice [M. Atala, et al., Nat. Phys. 10, 588 (2014)]. It is argued that, for the system parameters corresponding to the so-called `vortex phase', the ground state is a fragmented condensate. We study the Bogoliubov depletion of this condensate and discuss the role of boundary conditions.

arXiv comment7 figures

References in corpus (25)

• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Fragmentation of Bose-Einstein Condensates
• Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
• Chiral Ladders and the Edges of Chern Insulators
• Meissner effect in a bosonic ladder
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Vortex and Meissner phases of strongly-interacting bosons on a two-leg ladder
• Bose Hubbard Model in a Strong Effective Magnetic Field: Emergence of a Chiral Mott Insulator Ground State
• The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
• Ground States of a Bose-Hubbard Ladder in an Artificial Magnetic Field: Field-Theoretical Approach
• Pathway from condensation via fragmentation to fermionization of cold bosonic systems
• Fragmented Superradiance of a Bose-Einstein Condensate in an Optical Cavity
• Fragmented many-body ground states for scalar bosons in a single trap
• Theory of Bosons in two-leg ladders with large magnetic fields
• Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
• Single shot simulations of dynamic quantum many-body systems
• Condensed Groundstates of Frustrated Bose-Hubbard Models
• Semiclassical quantization of the Bogoliubov spectrum
• Bose-Hubbard Hamiltonian: Quantum Chaos approach
• Revealing single-trap condensate fragmentation by measuring density-density correlations after time of flight
• Interacting trapped bosons yield fragmented condensate states in low dimensions
• Excitation spectra of many-body systems by linear response: General theory and applications to trapped condensates
• Vortex nucleation through fragmentation in a stirred resonant Bose-Einstein condensate

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• Many-body effects in the excitation spectrum of weakly-interacting Bose-Einstein condensates in one-dimensional optical lattices
• Bosonic Double Ring Lattice Under Artificial Gauge Fields
• Nonclassical states in strongly correlated bosonic ring ladders
• Condensates Breaking Up Under Rotation
• Excitation spectrum and supersolidity of a two-leg bosonic ring ladder
• Assessing small accelerations using a bosonic Josephson junction
• Interference of longitudinal and transversal fragmentations in the Josephson tunneling dynamics of Bose-Einstein condensates
• Fragmentation of a trapped bosonic mixture
• Fragmentation of a trapped multiple-species bosonic mixture
• Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture