Universal Analytical Design for Perfect Chiral Circulation in Arbitrary Rings: Triangular Realizations via Floquet and Anyonic Physics

• URL: http://arxiv.org/abs/2605.02166v1
• Date: Mon, 04 May 2026 02:47:22 GMT
• Title: Universal Analytical Design for Perfect Chiral Circulation in Arbitrary Rings: Triangular Realizations via Floquet and Anyonic Physics
• Abstract summary: We prove that for translationally invariant $N$-site rings, an equidistant energy spectrum is the necessary and sufficient condition for such circulation.<n>We provide an analytical, transparent design framework for perfect chiral circulation applicable to diverse platforms.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Perfect chiral circulation-the sequential transfer of a quantum state around a closed loop with unit fidelity-has been achieved in specific few-site systems, yet a general theory remains absent. We prove that for translationally invariant $N$-site rings, an equidistant energy spectrum is the necessary and sufficient condition for such circulation, and we derive an exact closed-form Hamiltonian valid for arbitrary $N$. In the minimal three-site ring, we demonstrate two physically distinct realizations: Floquet engineering in a driven open chain, and correlated doublon dynamics in an anyon-Hubbard model where fractional statistics intrinsically provide the requisite gauge flux. Grounded in this universal spectral criterion and an explicit Hamiltonian construction, we provide an analytical, transparent design framework for perfect chiral circulation applicable to diverse platforms, such as superconducting circuits, classical electrical circuits, and photonic synthetic dimensions.

Related papers

• Floquet-Liouville Theory for Strongly Driven Open Quantum Systems [0.4910937238451485]
  Periodically driven quantum systems are commonly modeled using master equations constructed in the eigenbasis of an undriven Hamiltonian.<n>The validity of this approximation beyond weak or near-resonant driving remains poorly understood.<n>We formulate a nonsecular Floquet--Markov generalized master equation (F-GME) in the quasienergy basis.
  arXiv  Detail & Related papers  (2026-08-15T01:39:00Z)
• Floquet-Resolved Dissipation Selects Entanglement Beyond Population Spectroscopy [41.99844472131922]
  We show that two dissipative descriptions of the same parametrically coupled qubits can yield closely similar period-averaged populations.<n>Both retain the complete periodically driven Hamiltonian, the same microscopic bath couplings, and the same physical observables.
  arXiv  Detail & Related papers  (2026-08-12T15:33:26Z)
• Floquet Quasienergy-Resolved Dissipation, Dynamics, and Spectroscopy in Ultrastrong Cavity-QED [0.4369550829556578]
  We introduce a nonsecular Floquet generalized master equation framework for strongly driven open cavity-QED systems.<n>Our theory can model Floquet-driven dynamics in open ultrastrong-coupling cavity-QED, and demonstrates a wide range of quantum state control.
  arXiv  Detail & Related papers  (2026-06-30T04:04:20Z)
• Robust spin-squeezing on quantum networks: the lesson from universality [0.0]
  In quantum networks, the scaling of the spin-squeezing critical point emerges from a nontrivial interplay between xy-ferromagnetic universality and percolation.<n>We apply this general theoretical framework to several experimental scenarios and discuss sharp and experimentally relevant conditions for achieving robust metrological gain on generic inhomogeneous structures.
  arXiv  Detail & Related papers  (2026-05-04T18:02:05Z)
• Constructing Arbitrary Coherent Rearrangements in Optical Lattices [36.94429692322632]
  Coherent control of motional degrees of freedom of ultracold atoms in optical lattices offers a promising route towards programmable quantum dynamics with massive particles.<n>We propose and analyze a scheme for implementing coherent rearrangement of ultracold atoms, corresponding to arbitrary unitary transformations on single-particle motional states.
  arXiv  Detail & Related papers  (2026-03-04T15:57:12Z)
• 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)
• Spinning into Quantum Geometry: Dirac and Wheeler-DeWitt Dynamics from Stochastic Helicity [0.13999481573773068]
  Spin networks in loop quantum gravity provide a kinematical picture of quantum geometry.<n>We propose a framework in which each spin-network edge carries helicity-resolved amplitudes.<n>We show that both quantum evolution and gravitational geometry emerge within a single framework.
  arXiv  Detail & Related papers  (2025-10-12T23:00:29Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• A unified diagrammatic approach to quantum transport in few-level junctions for bosonic and fermionic reservoirs: Application to the quantum Rabi model [0.0]
  We study steady-state transport across generic multi-level junctions coupled to bosonic or fermionic reservoirs. Nontrivial transport features emerge as a result of the interplay between the qubit-oscillator detuning and coupling strength.
  arXiv  Detail & Related papers  (2024-03-11T17:11:31Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving [1.6385815610837167]
  We show theoretically how local control over individual tunnelling links in an optical lattice can be achieved. We employ Floquet theory to demonstrate how this provides full individual control over the tunnelling amplitudes in one dimension.
  arXiv  Detail & Related papers  (2023-09-21T14:44:43Z)
• Quantum Simulation of the Bosonic Kitaev Chain [2.5447603534588628]
  We study the bosonic analogue of the fermionic Kitaev chain, a 1D tight-binding model with both nearest-neighbor hopping and pairing terms. Our experiment is an important first step towards exploring genuine many-body non-Hermitian quantum dynamics.
  arXiv  Detail & Related papers  (2023-09-12T12:45:27Z)
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array [55.41644538483948]
  We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states. We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices. Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
  arXiv  Detail & Related papers  (2023-03-21T18:02:47Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• 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)
• Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
  Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
  arXiv  Detail & Related papers  (2021-07-11T12:36:12Z)
• Canonical Quantization of Superconducting Circuits [0.0]
  We develop mathematically consistent and precise Hamiltonian models to describe ideal superconducting networks. We pave the way on how to quantize general frequency-dependent gyrators and circulators coupled to both transmission lines and other lumped-element networks.
  arXiv  Detail & Related papers  (2021-04-19T15:58:16Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)

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.