Hierarchical time crystals

arXiv:2601.09779 · quant-ph · Submitted 2026-01-14 · Read on arXiv

quant-ph

Submitted: 2026-01-14

Updated: 2026-09-14

Terminology

• Symmetry Breaking — 29× in this paper · explained in 3 episodes
• Phase Transitions — 5× in this paper · explained in 2 episodes
• Lindblad master equation — 3× in this paper · explained in 2 episodes
• Mean-Field Dynamics — 3× in this paper · explained in 2 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Spectral Gap — 3× in this paper · explained in 5 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• No-Go Theorem — 1× in this paper · explained in 2 episodes
• Non-Markovian Dynamics — 1× in this paper · explained in 5 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Spontaneous Symmetry Breaking: From the Effective Action to Cosmological Phase Transitions in the Standard Model and Beyond
• A Brief History of Time Crystals
• The Boundary Time Crystal as a light source for collectively enhanced sensing
• Tunable discrete quasi-time crystal from a single drive
• Synchronization in coherently and dissipatively coupled spinor polariton time crystals
• Time Crystals as Passively Protected Oscillating Qubits

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity