pith. sign in

arxiv: 2512.19139 · v2 · submitted 2025-12-22 · ❄️ cond-mat.quant-gas · quant-ph

Asymmetric and chiral dynamics of two-component anyons with synthetic gauge flux

Rui-Jie Chen , Ying-Xin Huang , Guo-Qing Zhang , Dan-Wei Zhang This is my paper

Pith reviewed 2026-05-16 20:54 UTC · model grok-4.3

classification ❄️ cond-mat.quant-gas quant-ph
keywords anyonssynthetic gauge fluxchiral dynamicsanyon-Hubbard modelBose-Hubbard laddernon-equilibrium dynamicstwo-component systemsexpansion dynamics
0
0 comments X

The pith

Changing the sign of the anyonic statistics phase or the gauge flux and interaction preserves the expansion dynamics of two-component anyons under spatial inversion and component flip while tuning between chiral and antichiral behaviors.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper studies the nonequilibrium expansion of two-component anyons in a one-dimensional anyon-Hubbard model that maps onto a Bose-Hubbard ladder carrying density-dependent hopping phases and synthetic gauge flux. Numerical two-particle simulations combined with symmetry analysis show asymmetric transport that breaks inversion symmetry, yet the dynamics remain invariant under the combined operation of spatial inversion and component exchange precisely when the anyonic phase sign is reversed or when both the gauge flux and interaction signs are reversed. In the noninteracting limit the statistics phase and the gauge flux each suppress the expansion rate; with interactions present the same parameters allow continuous tuning between chiral and antichiral regimes, with explicit dynamical phase boundaries separating them. A reader would care because the result isolates how fractional statistics, artificial magnetic fields, and interactions jointly produce controllable directional transport in a lattice setting that is directly accessible to cold-atom experiments.

Core claim

We reveal asymmetric transport with broken inversion symmetry and two dynamical symmetries in the expansion dynamics. The expansion of two-component anyons is dynamically symmetric under spatial inversion and component flip when the sign of the anyonic statistics phase or the signs of gauge flux and interaction are changed. In the non-interacting case dynamical suppression is induced by both the statistics phase and gauge flux. In the interacting case both chiral and antichiral dynamics can be exhibited and tuned by the statistics phase and gauge flux, with the corresponding dynamical phase regimes obtained.

What carries the argument

Mapping of the two-component anyon-Hubbard model to an extended Bose-Hubbard ladder whose density-dependent hopping phases and synthetic gauge flux together encode anyonic exchange statistics and enable the observed asymmetric and chiral transport.

If this is right

  • Asymmetric transport with broken inversion symmetry appears in the expansion.
  • Dynamical symmetry under spatial inversion plus component flip holds exactly when the anyonic phase sign or the gauge-flux and interaction signs are reversed.
  • Noninteracting expansion is dynamically suppressed by both the statistics phase and the gauge flux.
  • Interacting dynamics allow tuning between chiral and antichiral regimes via the statistics phase and gauge flux, with explicit phase boundaries separating them.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The identified sign-reversal symmetries suggest protocols for reversing particle-flow direction without changing lattice geometry.
  • The same mapping may extend to continuous-space models or higher particle numbers, offering a route to many-body anyonic chiral transport.
  • Realization in optical lattices would allow direct measurement of the chiral-antichiral crossover by varying flux and interaction strength in a single run.
  • These dynamical effects could link to chiral edge transport in topological anyon systems, providing a time-domain probe of fractional statistics.

Load-bearing premise

Numerical two-particle simulations on the mapped ladder faithfully reproduce the anyonic exchange statistics and gauge-flux effects without significant finite-size or truncation artifacts, and the symmetry analysis extends to the interacting many-body regime.

What would settle it

An experiment or simulation in which reversing the anyonic phase sign fails to restore invariance of the expansion under simultaneous spatial inversion and component exchange, or in which the predicted chiral-to-antichiral transition boundaries do not match the observed dynamics.

Figures

Figures reproduced from arXiv: 2512.19139 by Dan-Wei Zhang, Guo-Qing Zhang, Rui-Jie Chen, Ying-Xin Huang.

Figure 1
Figure 1. Figure 1: FIG. 1. Schematic of the lattice of interacting two-component [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (Color online) (a-d) [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. (Color online) Time evolution of [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: The overall spreading dynamics can be described by the second moment averaged over two components D(2)(t) = [D (2) ↑ (t) + D (2) ↓ (t)]/2. We plot the numerical results of D(2)(t) at the time t = 2 (in units of ℏ/J) as a function of θ for ϕ = 0 and π/4 in [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. (Color online) [PITH_FULL_IMAGE:figures/full_fig_p006_6.png] view at source ↗
read the original abstract

In this work, we investigate the non-equilibrium dynamics in a one-dimensional two-component anyon-Hubbard model, which can be mapped to an extended Bose-Hubbard ladder with density-dependent hopping phase and synthetic gauge flux. Through numerical simulations of two-particle dynamics and the symmetry analysis, we reveal the asymmetric transport with broken inversion symmetry and two dynamical symmetries in the expansion dynamics. The expansion of two-component anyons is dynamically symmetric under spatial inversion and component flip, when the sign of anyonic statistics phase or the signs of gauge flux and interaction are changed. In the non-interacting case, we show the dynamical suppression induced by both the statistics phase and gauge flux. In the interacting case, we demonstrate that both chiral and antichiral dynamics can be exhibited and tuned by the statistics phase and gauge flux. The dynamical phase regimes with respect to the chiral-antichiral dynamics are obtained. These findings highlight the rich dynamical phenomena arising from the interplay of anyonic exchange statistics, synthetic gauge fields, and interactions in multi-component anyons.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript investigates non-equilibrium expansion dynamics in a one-dimensional two-component anyon-Hubbard model, which is mapped to an extended Bose-Hubbard ladder featuring density-dependent hopping phases and synthetic gauge flux. Through numerical simulations restricted to two-particle dynamics combined with symmetry analysis of the two-body wavefunction, the authors report asymmetric transport that breaks inversion symmetry, two dynamical symmetries (under spatial inversion plus component exchange when the sign of the anyonic phase or the signs of gauge flux and interaction are reversed), dynamical suppression in the non-interacting limit, and tunable chiral versus antichiral regimes in the interacting case, together with associated dynamical phase diagrams in parameter space.

Significance. If the reported symmetries and chiral-antichiral regimes prove robust, the work would illustrate how anyonic exchange statistics, synthetic gauge fields, and interactions can be combined to produce controllable non-equilibrium transport in multi-component lattice systems. The explicit mapping to a Bose-Hubbard ladder and the identification of sign-reversal symmetries constitute concrete, falsifiable predictions that could guide optical-lattice experiments. At present, however, the restriction to N=2 numerics without demonstrated extension to larger particle numbers reduces the immediate impact on many-body anyonic physics.

major comments (2)
  1. [Numerical simulations and symmetry analysis sections] The central claims of tunable chiral and antichiral dynamics and the associated phase regimes rest entirely on two-particle numerical simulations and two-body symmetry arguments (abstract and § on numerical results). No data or analysis is provided showing that these features survive for N>2, where higher-order correlations or collective effects could shift the reported boundaries; this is load-bearing for the assertion that the model exhibits 'rich dynamical phenomena' in the interacting many-body regime.
  2. [Methods and numerical details] The manuscript states that the mapped Bose-Hubbard ladder 'faithfully capture[s] the anyonic exchange statistics and gauge flux effects' but supplies no convergence checks with respect to lattice size, truncation of the Hilbert space, or post-selection procedures. Without these, it remains unclear whether the observed chiral regimes are free of finite-size or numerical artifacts (reader's weakest assumption).
minor comments (2)
  1. [Abstract] The abstract claims that 'dynamical phase regimes ... are obtained' but does not specify the scanned parameter ranges, the precise definition of the chiral order parameter, or how boundaries are extracted from the two-particle trajectories.
  2. [Model Hamiltonian] Notation for the anyonic phase and gauge flux parameters is introduced without an explicit table or equation summarizing their ranges and signs used in the symmetry statements.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments, which have helped us clarify the scope and numerical details of our work. We address each major comment below and have revised the manuscript accordingly.

read point-by-point responses

  1. Referee: The central claims of tunable chiral and antichiral dynamics and the associated phase regimes rest entirely on two-particle numerical simulations and two-body symmetry arguments (abstract and § on numerical results). No data or analysis is provided showing that these features survive for N>2, where higher-order correlations or collective effects could shift the reported boundaries; this is load-bearing for the assertion that the model exhibits 'rich dynamical phenomena' in the interacting many-body regime.

    Authors: We agree that the numerical results and symmetry analysis are restricted to the two-particle sector, which is stated explicitly throughout the manuscript. The exact mapping to the extended Bose-Hubbard ladder and the dynamical symmetries are derived rigorously for N=2, where the anyonic statistics and gauge flux are fully captured without approximation. Exact simulations for N>2 are computationally prohibitive in the current exact-diagonalization framework due to the rapid growth of the Hilbert space. We have revised the abstract, introduction, and conclusions to emphasize that the reported chiral and antichiral regimes are demonstrated for two-particle dynamics and to note that extension to larger particle numbers remains an open question for future work using approximate methods or larger-scale numerics. This revision makes the scope of the claims precise while retaining the concrete, falsifiable predictions for N=2. revision: partial

  2. Referee: The manuscript states that the mapped Bose-Hubbard ladder 'faithfully capture[s] the anyonic exchange statistics and gauge flux effects' but supplies no convergence checks with respect to lattice size, truncation of the Hilbert space, or post-selection procedures. Without these, it remains unclear whether the observed chiral regimes are free of finite-size or numerical artifacts (reader's weakest assumption).

    Authors: We thank the referee for highlighting this omission. In the revised manuscript we have added a new subsection under Methods that specifies the numerical parameters: a ladder with 40 sites total (20 per leg), time evolution up to t=10/J where the density at the open boundaries remains below 10^{-4}, and full Hilbert-space diagonalization for exactly two particles (no truncation required). We have verified convergence by repeating the key observables for lattice sizes L=16 and L=20 per leg and found differences smaller than 1% in the chiral current and expansion asymmetry. No post-selection is applied, as the evolution is fully unitary. These details are now included to confirm that the reported chiral and antichiral regimes are free of the mentioned artifacts. revision: yes

Circularity Check

0 steps flagged

No circularity: symmetries derived directly from Hamiltonian and verified by independent numerics

full rationale

The paper maps the anyon-Hubbard model to an extended Bose-Hubbard ladder, identifies dynamical symmetries under inversion+component flip by direct inspection of the Hamiltonian terms (statistics phase, gauge flux, interactions), and confirms them via explicit two-particle time evolution numerics. No parameter is fitted to a subset of data and then relabeled as a prediction; no self-citation supplies a load-bearing uniqueness theorem or ansatz; the chiral/antichiral regimes are obtained by scanning the statistics phase and flux parameters in the simulations rather than by construction. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claims rest on the assumption that the anyon-Hubbard model maps exactly onto an extended Bose-Hubbard ladder with density-dependent phases; no free parameters are fitted to data, and no new entities are postulated.

axioms (1)
  • domain assumption The two-component anyon-Hubbard model can be mapped to an extended Bose-Hubbard ladder with density-dependent hopping phase and synthetic gauge flux.
    Stated directly in the abstract as the starting point for all subsequent simulations and symmetry analysis.

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