Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
arXiv:1503.02503 · doi:10.1103/PhysRevA.91.053621
Abstract
On top of the mean-field analysis of a Bose-Einstein condensate, one typically applies the Bogoliubov theory to analyze quantum fluctuations of the excited modes. Therefore, one has to diagonalize the Bogoliubov Hamiltonian in a symplectic manner. In our article we investigate the topology of these Bogoliubov excitations in inversion-invariant systems of interacting bosons. We analyze how the condensate influences the topology of the Bogoliubov excitations. Analogously to the fermionic case, here we establish a symplectic extension of the polarization characterizing the topology of the Bogoliubov excitations and link it to the eigenvalues of the inversion operator at the inversion-invariant momenta. We also demonstrate an instructive but experimentally feasible example that this quantity is also related to edge states in the excitation spectrum.
arXiv comment10 pages, 2 figures, comments are welcome
References in corpus (39)
- Topological Insulators
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
- Spin-orbit coupling in quantum gases
- Spinor Bose-Einstein condensates
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Topological Mott Insulators
- Inversion Symmetric Topological Insulators
- Quantum tri-criticality and phase transitions in spin-orbit coupled Bose-Einstein condensates
- Topological chiral magnonic edge mode in a magnonic crystal
- Classification of topological insulators and superconductors in the presence of reflection symmetry
- Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
- Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
- Chiral spin-wave edge modes in dipolar magnetic thin films
- Topological orbital ladders
- Topological edge states in the one-dimensional super-lattice Bose-Hubbard model
- Interaction driven instabilities of a Dirac semi-metal
- An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
- Implementation of the Dicke lattice model in hybrid quantum system arrays
- Topological Flat Bands from Dipolar Spin Systems
- Topological Insulators and Metals in Atomic Optical Lattices
- Topological Bose-Mott Insulators in a One-Dimensional Optical Superlattice
- Floquet engineering of long-range p-wave superconductivity
- Rydberg-Atom Quantum Simulation and Chern Number Characterization of a Topological Mott Insulator
- Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
- Edge-state instabilities of bosons in a topological band
- Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
- Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
- Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
- Edge excitations of bosonic fractional quantum Hall phases in optical lattices
- Change of an insulator's topological properties by a Hubbard interaction
- Realizing non-Abelian gauge potentials in optical square lattices: Application to atomic Chern insulators
- Complete phase diagram and topological properties of interacting bosons in one-dimensional superlattices
- Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
- Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
Cited by in corpus (51)
- Topological Photonics
- Symmetry and Topology in Non-Hermitian Physics
- Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
- Topological quantum fluctuations and travelling wave amplifiers
- Chiral Bogoliubons in Nonlinear Bosonic Systems
- Topological phase transitions and chiral inelastic transport induced by the squeezing of light
- Chirality of topological gap solitons in bosonic dimer chains
- Interacting quantum fluid in a polariton topological insulator
- Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
- Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
- Topological Zak Phase in Strongly-Coupled LC Circuits
- Topological Varma superfluid in optical lattices
- Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
- Quantum Valley Hall Effect and Perfect Valley Filter Based on Photonic Analogs of Transitional Metal Dichalcogenides
- Selective Population of Edge States in a 2D Topological Band System
- Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
- Topological instabilities in ac-driven bosonic systems
- Nonlinear mode competition and symmetry-protected power oscillations in topological lasers
- Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
- π-flux Dirac bosons and topological edge excitations in a bosonic chiral p-wave superfluid
- Topological edge states for disordered bosonic systems
- Topological dynamics and excitations in lasers and condensates with saturable gain or loss
- Bose-Einstein condensate in an optical lattice with Raman-assisted two-dimensional spin-orbit coupling
- Amplification of quantum signals by the non-Hermitian skin effect
- Topologically-enforced bifurcations in superconducting circuits
- Probing band topology using modulational instability
- Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
- Dirac surface states in magnonic analogs of topological crystalline insulators
- Topological Classification of Excitations in Quadratic Bosonic Systems
- Generalized Su-Schrieffer-Heeger model in one dimensional optomechanical arrays
- Driven-dissipative topological phases in parametric resonator arrays
- Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
- Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
- A simple approach to characterizing band topology in bosonic pairing Hamiltonians
- Synthetic Mechanical Lattices with Synthetic Interactions
- Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
- Random-walk topological transition revealed via electron counting
- Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
- Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
- Weyl Bogoliubov excitations in Bose-Hubbard extension of Weyl semimetal
- Domain-wall topology induced by spontaneous symmetry breaking in polariton graphene
- Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
- Selection Rule for Topological Amplifiers in Bogoliubov de Gennes Systems
- Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
- Quantum geometry of bosonic Bogoliubov quasiparticles
- Soliton metacrystals: topology and chirality
- Higher-order topology and corner triplon excitations in two-dimensional quantum spin-dimer models
- Boundary states in the chiral symmetric systems with a spatial symmetry
- Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
- Topological bosonic Bogoliubov excitations with sublattice symmetry
- Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models