phases and Majorana spectroscopy in paired Bose-Hubbard chains
arXiv:2012.02380 · doi:10.1103/PhysRevA.103.L051301
Abstract
We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. The pairing term gives rise to an unusual gapped Ising phase that has number fluctuation but no off-diagonal long range order. This phase has a strongly correlated many-body doubly degenerate ground state which is effectively a gap-protected macroscopic qubit. In the strongly interacting limit, the system can be mapped onto an anisotropic transverse spin chain, which in turn can be mapped to the better-known fermionic sister of the paired Bose-Hubbard chain: the Kitaev chain which hosts zero-energy Majorana bound states. While corresponding phases in the fermionic and bosonic systems have starkly different wavefunctions, they share identical energy spectra. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing, opening a possible route towards experimental Kitaev chain spectroscopy.
arXiv comment5 pages, 2 figures
References in corpus (34)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Unpaired Majorana fermions in quantum wires
- Cold bosonic atoms in optical lattices
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Milestones toward Majorana-based quantum computing
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Imaging the Mott Insulator Shells using Atomic Clock Shifts
- Quantum quench in an atomic one-dimensional Ising chain
- Oscillating Superfluidity of Bosons in Optical Lattices
- Mott insulators in strong electric fields
- Momentum-Resolved Bragg Spectroscopy in Optical Lattices
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
- Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
- Next steps of quantum transport in Majorana nanowire devices
- Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering
- Majorana edge states in two atomic wires coupled by pair-hopping
- Floquet realization and signatures of one-dimensional anyons in an optical lattice
- Majorana-Like Modes of Light in a One-Dimensional Array of Nonlinear Cavities
- Observation and uses of position-space Bloch oscillations in an ultracold gas
- A Photonic Topological Mode Bound to a Vortex
- Realizing one-dimensional topological superfluids with ultracold atomic gases
- Transport in Floquet-Bloch bands
- Enhanced Superexchange in a Tilted Mott Insulator
- FCC, Checkerboards, Fractons, and QFT
- Condensates induced by interband coupling in a double-well lattice
- Phasonic Spectroscopy of a Quantum Gas in a Quasicrystalline Lattice
- Interaction Spectroscopy of a Two-component Mott Insulator
- Coexistence of superfluid and Mott phases of lattice bosons
- From anyons to Majoranas