Floquet Many-Body Cages

• URL: http://arxiv.org/abs/2604.13027v1
• Date: Tue, 14 Apr 2026 17:57:58 GMT
• Title: Floquet Many-Body Cages
• Abstract summary: We show that new types of many-body cages can be engineered in Floquet circuits with the potential to realize novel nonequilibrium quantum states.<n>Our results can be directly extended to general quantum circuits, thus providing a new tool to engineer nonequilibrium behaviour in driven systems.
• Score: 0.0032818514814266144
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Many-body cages have very recently emerged as a general route for nonergodic behaviour in quantum matter. Here, we show that new types of many-body cages can be engineered in Floquet circuits with the potential to realize novel nonequilibrium quantum states. For that purpose, we first identify an explicit, general construction of Floquet circuits capable of hosting many-body cages. We then present a generic strategy to engineer and structure Floquet many-body cages. We demonstrate the developed scheme for the quantum hard disk model as a generic constrained model system, realizable for instance in Rydberg atom arrays. We construct Floquet circuits yielding Floquet many-body cages with topological properties and $π$-quasienergy modes, implying `time crystalline' spatiotemporal order. Our results can be directly extended to general quantum circuits, thus providing a new tool to engineer nonequilibrium behaviour in driven systems.

Related papers

• Anomalous Mixed-State Floquet Topology in One-Dimensional Open Quantum Systems [41.99844472131922]
  We investigate the non-equilibrium topology of a periodically driven, dissipative Su-Schrieffer-Heeger chain.<n>We show that the steady state can be characterised by a Hermitian purity spectrum.<n>We identify a pair of topological invariants $(0_mathrmEGP, _mathrmEGP)$, revealing a structure consistent with a $mathbbZtimesmathbbZ$ classification known from isolated Floquet SSH systems.
  arXiv  Detail & Related papers  (2026-04-28T05:54:40Z)
• Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates [1.0233852172057303]
  We introduce an analytical and deterministic Floquet method that directly synthesizes arbitrary unitaries within a single period.<n>Phase-space unitary ensembles generated by our approach reproduce the Haar-random statistics, enabling practical pseudorandom unitaries in continuous-variable systems.
  arXiv  Detail & Related papers  (2026-01-13T18:14:11Z)
• Construction and simulability of quantum circuits with free fermions in disguise [0.0]
  We study local quantum circuits hosting free fermions in disguise, both with staircase and brickwork.<n>Our work proves recent conjectures in the literature and raises new questions on the classical simulability of free fermions in disguise.
  arXiv  Detail & Related papers  (2025-09-26T17:04:27Z)
• Proximate integrability and exact revivals in staggered Rydberg ladders [0.0]
  We investigate the fate of out-of-equilibrium quantum dynamics in a model of Rydberg atoms arranged in a square ladder geometry.<n>As the strength is tuned, the model exhibits a wide class of dynamical phenomena.
  arXiv  Detail & Related papers  (2025-04-21T17:00:44Z)
• Efficient Quantum Pseudorandomness from Hamiltonian Phase States [41.94295877935867]
  We introduce a quantum hardness assumption called the Hamiltonian Phase State (HPS) problem.<n>We show that our assumption is plausibly fully quantum; meaning, it cannot be used to construct one-way functions.<n>We show that our assumption and its variants allow us to efficiently construct many pseudorandom quantum primitives.
  arXiv  Detail & Related papers  (2024-10-10T16:10:10Z)
• Floquet nonadiabatic dynamics in open quantum systems [2.6127142674140234]
  Floquet theory offers a powerful tool to treat time-periodic quantum systems. We first present the general Floquet Liouville von-Neumann (LvN) equation. We then show how to connect Floquet operators to real time observables.
  arXiv  Detail & Related papers  (2023-03-15T10:21:41Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Trapped Ions as an Architecture for Quantum Computing [110.83289076967895]
  We describe one of the most promising platforms for the construction of a universal quantum computer. We discuss from the physics involved in trapping ions in electromagnetic potentials to the Hamiltonian engineering needed to generate a universal set of logic gates.
  arXiv  Detail & Related papers  (2022-07-23T22:58:50Z)
• Following Floquet states in high-dimensional Hilbert spaces [0.0]
  A strategy is proposed for following a Floquet state in response to small changes of a given system's Hamiltonian. An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces.
  arXiv  Detail & Related papers  (2021-11-25T10:13:32Z)
• Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model [0.0]
  We develop a Floquet protocol for long-range entanglement generation in the one-dimensional quantum Potts model. We conjecture that the proposed Floquet protocol is integrable and explicitly construct a few first non-trivial conserved quantities.
  arXiv  Detail & Related papers  (2021-10-18T18:21:00Z)
• Engineering, control and longitudinal readout of Floquet qubits [105.9098786966493]
  Time-periodic Hamiltonians can be exploited to increase the dephasing time of qubits and to design protected one and two-qubit gates. Here, we use the framework of many-mode Floquet theory to describe approaches to robustly control Floquet qubits in the presence of multiple drive tones. Following the same approach, we introduce a longitudinal readout protocol to measure the Floquet qubit without the need of first adiabatically mapping back the Floquet states to the static qubit states.
  arXiv  Detail & Related papers  (2021-08-25T14:35:02Z)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)

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.