Orbital Wigner functions and quantum transport in multiband systems

arXiv:2502.14026 · cond-mat.quant-gas, cond-mat.mes-hall, cond-mat.mtrl-sci, cond-mat.stat-mech, quant-ph · Submitted 2025-02-19 · Read on arXiv

cond-mat.quant-gas, cond-mat.mes-hall, cond-mat.mtrl-sci, cond-mat.stat-mech, quant-ph

Submitted: 2025-02-19

Updated: 2026-09-18

Terminology

• Wigner function — 71× in this paper · explained in 2 episodes
• Boltzmann Equation — 19× in this paper · explained in 2 episodes
• Accuracy — 10× in this paper · explained in 1 episode
• Generalization — 6× in this paper · explained in 13 episodes
• Berry Curvature — 3× in this paper · explained in 3 episodes
• Benchmarking — 2× in this paper · explained in 3 episodes
• Bosonization — 2× in this paper · explained in 2 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Effective Hamiltonian — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Initial Data — 1× in this paper · explained in 2 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Asymptotic behaviour of determinants through the expansion of the Moyal star product
• Direct imaging of the order parameter of an atomic superfluid using matterwave optics
• A phase microscope for quantum gases
• Geometric Floquet theory
• The multi-state geometry of shift current and polarization
• Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals
• Flat band fine-tuning and its photonic applications
• Quantum kinetic equation and thermal conductivity tensor for bosons

Related papers

• Double-weak-link interferometer of hard-core bosons in one dimension
• Quantum simulation of material-specific Hubbard models with alkaline-earth atoms
• Self-sustained Josephson dynamics and self-trapping in supersolids
• Localization with Hopping Disorder in a Quasiperiodic Synthetic Momentum Lattice
• A low-energy effective Hamiltonian for Landau quasiparticles: I. A unified theory of transport and superfluidity in Fermi liquids
• A low-energy effective Hamiltonian for Landau quasiparticles: II. Application to the contact Fermi gas