Moment-Selective Quantum Designs in Aperiodic Temporal Ensembles

• URL: http://arxiv.org/abs/2609.13371v1
• Date: Fri, 11 Sep 2026 18:00:00 GMT
• Title: Moment-Selective Quantum Designs in Aperiodic Temporal Ensembles
• Abstract summary: We introduce a general mechanism for engineering moment-selective temporal designs with hierarchically structured aperiodic drives.<n>A small static detuning from such a setting produces an exponentially long lifetime whose exponent scales inversely with the square of the detuning.<n>We propose a finite-time signature of the long-lived moment that can be measured without requiring observations over exponentially long times.
• Score: 11.004709593999296
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a general mechanism for engineering moment-selective temporal designs with hierarchically structured aperiodic drives. At special control settings where the driven dynamics is constrained by a finite symmetry group, lower-order moments can already reproduce Haar statistics while a selected higher-order deviation remains nonzero. A small static detuning from such a setting generically produces an exponentially long lifetime whose exponent scales inversely with the square of the detuning. We illustrate this mechanism in qubit systems through exact Fibonacci and silver-mean constructions with tetrahedral and icosahedral resonances, for which the first retained non-Haar moments occur at orders $3$ and $6$, respectively. We further show that stochastic control fluctuations produce a qualitatively different cutoff from coherent detuning. Finally, we propose a finite-time signature of the long-lived moment that can be measured without requiring observations over exponentially long times.

Related papers

• Quantum Trajectory Entanglement in Seeded Boundary Time Crystals [46.94763753277221]
  entanglement spreads among different spin ensembles when a BTC attempts to seed its time-crystalline behavior onto otherwise static spin ensembles.<n>We analyse both the dynamical growth of entanglement in time and the steady-state properties of the system.<n>These findings establish dissipative seeding as a powerful mechanism for controlling quantum correlations in open many-body systems.
  arXiv  Detail & Related papers  (2026-07-01T18:00:08Z)
• Spin-Induced Non-Markovian Time-Crystal-Like Dynamics and Fractal Scaling in the Bateman Dual Oscillator [0.15293427903448018]
  We show that a closed quantum system can generate persistent time-crystal-like dynamics without external driving.<n>The mechanism lies outside the assumptions of conventional no-go theorems for equilibrium time crystals.<n>In this sense, "watching the growth" of these self-similar structures corresponds to observing the gradual formation of time-crystal-like ordering.
  arXiv  Detail & Related papers  (2026-05-19T14:43:03Z)
• Forecasting as Rendering: A 2D Gaussian Splatting Framework for Time Series Forecasting [79.37674445572462]
  Time series forecasting (TSF) remains a challenging problem due to the intricate entanglement of intraperiod-fluctuations and interperiod-trends.<n>Treating reshaped tensors as static images results in a topological mismatch.<n> relying on uniform fixed-size representations allocates modeling capacity inefficiently.<n>TimeGS is a novel framework that fundamentally shifts the forecasting paradigm from regression to 2D generative rendering.
  arXiv  Detail & Related papers  (2026-02-10T14:13:36Z)
• Observation of Discrete Time Quasicrystal in Rydberg Atomic Gases [41.80768913783363]
  Discrete time quasicrystals (DTQC) constitute a class of non-equilibrium matter characterized by temporal order without strict periodicity.<n>Here, we experimentally observe a DTQC in a driven-dissipative ensemble of strongly interacting Rydberg atoms.<n>We demonstrate that the system exhibits a robust subharmonic response at multiple incommensurate frequencies, signifying the emergence of a DTQC phase.
  arXiv  Detail & Related papers  (2025-09-25T14:43:18Z)
• Transition from non-ergodic to ergodic dynamics in an autonomous discrete time crystal [0.0]
  We consider an autonomous system of two coupled single-mode cavities, one of which interacts with a multimode resonator.<n>For small coupling strengths between single-mode cavities, the Loschmidt echo oscillates periodically in time.<n>We show that at the transition point the time-averaged variance of the number of photons reaches a maximum, which serves as a signature of the transition.
  arXiv  Detail & Related papers  (2025-01-29T06:27:46Z)
• Time-dependent Neural Galerkin Method for Quantum Dynamics [39.63609604649394]
  We introduce a classical computational method for quantum dynamics that relies on a global-in-time variational principle.<n>Our scheme computes the entire state trajectory over a finite time window by minimizing a loss function that enforces the Schr"odinger's equation.<n>We showcase the method by simulating global quantum quenches in the paradigmatic Transverse-Field Ising model in both 1D and 2D.
  arXiv  Detail & Related papers  (2024-12-16T13:48:54Z)
• Experimental observation of a time rondeau crystal: Temporal Disorder in Spatiotemporal Order [0.0]
  We report the first experimental observation of a -- tunable degree of -- short-time disorder in a system exhibiting long-time stroboscopic order. Our work broadens the landscape of observed nonequilibrium temporal order, paving the way for new applications harnessing driven quantum matter.
  arXiv  Detail & Related papers  (2024-04-08T15:47:28Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Entanglement and correlations in fast collective neutrino flavor oscillations [68.8204255655161]
  Collective neutrino oscillations play a crucial role in transporting lepton flavor in astrophysical settings. We study the full out-of-equilibrium flavor dynamics in simple multi-angle geometries displaying fast oscillations. We present evidence that these fast collective modes are generated by the same dynamical phase transition.
  arXiv  Detail & Related papers  (2022-03-05T17:00:06Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Floquet Phases of Matter via Classical Prethermalization [0.0]
  We show that classical many-body systems can host nonequilibrium phases of matter. We numerically demonstrate the existence of classical prethermal time crystals in systems with different dimensionalities.
  arXiv  Detail & Related papers  (2021-04-28T18:00:00Z)
• Bistability and time crystals in long-ranged directed percolation [0.0]
  We propose a simple cellular automaton with power-law interactions that gives rise to a bistable phase of long-ranged directed percolation. Our work thus provides a firm example of a classical discrete time crystal phase of matter.
  arXiv  Detail & Related papers  (2020-04-27T18:00:02Z)

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.