Related papers: Fermionic optimal transport

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Generalized symmetries, invariant solutions and conservation laws in the Jaynes-Cummings model [41.99844472131922]
We investigate the Jaynes--Cummings model (JCM) using Lie symmetry analysis and conservation-law theory.<n>The dynamics is formulated as a system of partial differential equations by projecting the von Neumann equation onto the atomic degrees of freedom.<n>We derive additional conserved currents involving atomic populations, coherence, reduced-state purity, and moments of the field characteristic function.
arXiv Detail & Related papers (2026-06-14T01:42:11Z)
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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)
$\mathbb{Z}_2$ lattice gauge theories: fermionic gauging, transmutation, and Kramers-Wannier dualities [1.3066483328205247]
We show a unitary equivalence between the $mathbbZ$ gauge theory and the conventional $mathbbZ$ gauge theory.<n>The gauge theory obtained by gauging fermion parity is further shown to be equivalent to a folded Ising chain obtained via the Jordan--Wigner transformation.
arXiv Detail & Related papers (2025-10-23T18:00:00Z)
Meson spectroscopy of exotic symmetries of Ising criticality in Rydberg atom arrays [39.58317527488534]
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arXiv Detail & Related papers (2025-06-26T14:19:30Z)
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arXiv Detail & Related papers (2025-03-28T19:44:48Z)
Exactly solvable models for fermionic symmetry-enriched topological phases and fermionic 't Hooft anomaly [33.49184078479579]
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arXiv Detail & Related papers (2024-10-24T19:52:27Z)
Origin of Robust $\mathbb{Z}_2$ Topological Phases in Stacked Hermitian Systems: Non-Hermitian Level Repulsion [0.8739101659113157]
Quantum spin Hall insulators, which possess a non-trivial $mathbbZ$ topological phase, have attracted great attention for two decades.<n>It is generally believed that when an even number of layers of the quantum spin Hall insulators are stacked, the $mathbbZ$ topological phase becomes unstable due to $mathbbZ$ nature.<n>We provide a systematic understanding that the robustness generally originates from level repulsion in the corresponding non-Hermitian system derived from Hermitization.
arXiv Detail & Related papers (2024-07-30T12:02:21Z)
Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented. We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
arXiv Detail & Related papers (2024-04-04T14:45:28Z)
Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications [0.0]
We show that symmetry algebras of quantum many-body systems with locality can be expressed as frustration-free ground states of a local superoperator.<n>In addition, we show that the low-energy excitations of this super-Hamiltonian can be understood as approximate symmetries.
arXiv Detail & Related papers (2023-09-26T18:03:24Z)
Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance. The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
arXiv Detail & Related papers (2023-05-22T11:00:25Z)
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)
Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z)
Many-Body Quantum States with Exact Conservation of Non-Abelian and Lattice Symmetries through Variational Monte Carlo [0.0]
We present an ansatz where global non-abelian symmetries are inherently embedded in its structure. We extend the model to incorporate lattice symmetries as well.
arXiv Detail & Related papers (2021-04-30T09:52:15Z)
Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z)

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