Floquet-Engineered Parity Anomaly Staircase in a Cold Atom Dirac Lattice

• URL: http://arxiv.org/abs/2606.05164v1
• Date: Wed, 03 Jun 2026 17:59:29 GMT
• Title: Floquet-Engineered Parity Anomaly Staircase in a Cold Atom Dirac Lattice
• Abstract summary: Floquet-engineered cold atom realization of a parity anomaly inspired anomalous Hall staircase in a two dimensional $$-flux lattice.<n>We analyze the associated low energy Dirac theory, band topology, Berry curvature structure, and two parameter response maps, and discuss a possible realization using Raman-assisted tunneling, off-resonant Floquet driving, and auxiliary AC-Stark dressing in ultracold atomic optical lattices.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a Floquet-engineered cold atom realization of a parity anomaly inspired anomalous Hall staircase in a two dimensional $π$-flux lattice. The effective model hosts massive Dirac fermions generated by the combined action of a time reversal symmetry breaking Floquet mass and a static inversion breaking mass offset. An additional momentum dependent scalar displacement term shifts different Dirac sectors in opposite energy directions without modifying their Bloch eigenvectors. As a result, the Berry curvature contribution associated with individual massive Dirac sectors can be selectively occupied, allowing the anomalous Hall response to evolve stepwise as a function of chemical potential or scalar displacement term. Evaluating the full lattice Berry curvature integral, we find plateau-like responses near $0$, $e^2/2h$, and $e^2/h$, corresponding respectively to the activation of zero, one, and two effective massive Dirac sector contributions. We analyze the associated low energy Dirac theory, band topology, Berry curvature structure, and two parameter response maps, and discuss a possible realization using Raman-assisted tunneling, off-resonant Floquet driving, and auxiliary AC-Stark dressing in ultracold atomic optical lattices.

Related papers

• Tangent fermions can restore vacuum stability of discrete-time Dirac models [0.0]
  We show that an alternative discretization scheme, with a tangent rather than a sine dispersion relation, offers stability while retaining a single Dirac cone.<n>The key step is the Cayley transformation from the unit circle of Floquet eigenvalues $e-ivarepsilon$ to the real line of energies $E=2tan(varepsilon/2)$.<n>We compute the Schwinger effect (particle-hole pair creation in a uniform electric field) for tangent fermions and show that the pair-production rate agrees with the continuum result for a single Dirac cone
  arXiv  Detail & Related papers  (2026-09-01T10:27:21Z)
• Stochastic Counterdiabatic Driving via Biorthogonal Liouvillian Eigenmodes [42.668742604089324]
  Escorted free energy simulations address the non-adiabatic lag by engineering control fields $mathbfu$ that eliminate the lag.<n>We construct a complementary numerical framework based on gauge-type transforms instead of generalized coordinate transforms.<n>We show that the counterdiabatic condition is satisfied to machine precision, with the non-adiabatic lag suppressed by roughly twelve orders of magnitude.
  arXiv  Detail & Related papers  (2026-07-27T13:08:14Z)
• Confinement Versus Screening in the Schwinger Model on AdS$_2$ from Bosonization and Tensor Networks [0.0]
  We analyze confinement and screening in single-flavor quantum electrodynamics (QED$$) on two-dimensional anti-de Sitter space.<n>The theory is formulated in two frames adapted to distinct choices of a preferred time coordinate: the Schwarzschild frame, associated with the Boulware vacuum, and the global AdS$$ frame, associated with the global AdS$$ vacuum.<n>We perform extensive numerical simulations of the static potential and the electric flux-tube profile for varying fermion masses, which we match to the continuum prediction.
  arXiv  Detail & Related papers  (2026-07-21T18:00:02Z)
• Scalar and vector bosons in a Bonnor-Melvin-$Λ$ spacetime: an exact Duffin-Kemmer-Petiau analysis [0.0]
  We study scalar and vector bosons in the Bonnor--Melvin--$$ spacetime within the Duffin--Kemmer--Petiau formalism.<n>By employing Umezawa's projection operators, we derive the corresponding exact second-order equations in the full curved spacetime.
  arXiv  Detail & Related papers  (2026-07-10T21:46:45Z)
• Tailoring pure valley-Zeeman spin-orbit coupling in WSe$_2$-encapsulated monolayer graphene [42.39722022913058]
  Engineering proximity effects in twisted van der Waals heterostructures offers a powerful platform for designing electronic properties.<n>We report pure valley-Zeeman spin-orbit coupling in monolayer graphene, achieved by encapsulation between two parallel twisted WSe$$ monolayers.<n>We also demonstrate the ability to completely quench the proximity spin-orbit coupling by tuning the encapsulated geometry.
  arXiv  Detail & Related papers  (2026-06-02T07:43:48Z)
• A Covariant Chiral-Hydrodynamic Formulation of the Dirac Equation in Curved Spacetime [0.0]
  We develop a fully covariant chiral-hydrodynamic formulation of the Dirac field in curved spacetime.<n>This work not only provides a closed hydrodynamic theory for spin fluids but also establishes a unified framework for analyzing quantum information.
  arXiv  Detail & Related papers  (2026-05-27T05:06:33Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Information supercurrents and spin waves in chiral active matter: Universality of the Landau-Lifshitz-Gilbert equation [0.0]
  Overdamped polar chiral active matter can support inviscid Euler turbulence, despite the system's strictly dissipative microscopic nature.<n>We identify the trapped agent state as carrying non-dissipative phase rigidity supercurrents.<n>Our results show that all polar chiral agents who seek to align on the unit sphere strictly constitute a dissipative spintronic fluid.
  arXiv  Detail & Related papers  (2025-12-18T18:50:02Z)
• Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory [39.146761527401424]
  We study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system.<n>Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions.
  arXiv  Detail & Related papers  (2025-12-08T17:34:53Z)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• Manipulating Generalized Dirac Cones In Quantum Metasurfaces [68.8204255655161]
  We consider a collection of single quantum emitters arranged in a honeycomb lattice with subwavelength periodicity. We show that introducing uniaxial anisotropy in the lattice results in modified dispersion relations.
  arXiv  Detail & Related papers  (2022-03-21T17:59:58Z)
• Chiral Dirac-like fermion in spin-orbit-free antiferromagnetic semimetals [21.85167942898987]
  Dirac semimetal is a phase of matter, whose elementary excitation is described by the relativistic Dirac equation. Inspired by the flavor symmetry in particle physics, we propose a massless Dirac-like equation yet linking two Weyl fields with the identical chirality. Our work reveals a counterpart of the flavor symmetry in magnetic electronic systems, leading to further possibilities of emergent phenomena in quantum materials.
  arXiv  Detail & Related papers  (2021-07-21T09:56:14Z)
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model [0.0]
  We introduce and solve a two-band model of spinless fermions with $p_x$-wave pairing on a square lattice. We show that its phase diagram contains a topologically nontrivial weak pairing phase as well as a trivial strong pairing phase.
  arXiv  Detail & Related papers  (2020-10-01T01:20:46Z)
• Abelian and non-Abelian topological behavior of a neutral spin-1/2 particle in a background magnetic field [0.0]
  We present results of a numerical experiment in which a neutral spin-1/2 particle subjected to a static magnetic vortex field passes through a double-slit barrier. We demonstrate that the resulting interference pattern exhibits fringes reminiscent of Aharonov-Bohm scattering by a magnetic flux tube. We show how degeneracy can be lifted by higher order gauge corrections that alter the semi-classical, non-Abelian, WZ phase.
  arXiv  Detail & Related papers  (2020-08-17T20:26:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.